tag:blogger.com,1999:blog-49802003130744268922024-03-13T06:32:38.649+02:00Supremum«Με το Μηδεν και τ’ Απειρο να συμφιλιωθουμε»
Κ.Γ.ΚαρυωτακηςΒασίληςhttp://www.blogger.com/profile/08192330940730446249noreply@blogger.comBlogger242125tag:blogger.com,1999:blog-4980200313074426892.post-1049336965769540462023-12-06T08:51:00.005+02:002023-12-06T08:51:56.842+02:00Εισαγωγή στη Μαθηματική Ανάλυση- Διαφορικός Λογισμός- τόμος Β. Νέο βιβλίο από τις εκδόσεις Supremum<p> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEie1aeAX_t8IPDuifIBCV-uwcuLLe3pg9-RWDEHgnZb80Jgqsc18y1oiFAXXALpuX8LC5meDpS18JsY54_4P5jq_Zpuk0bW_y1PVEMNP_BAaP6TI-A10wz-eZQiuoLdaZsP2LQydw5MK5EeU_uhmV3zPSqsANWzeorOELE_jt0FtlEYe5wIniK-NsiuMSzG/s1417/prosxedio%2005.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1417" data-original-width="1004" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEie1aeAX_t8IPDuifIBCV-uwcuLLe3pg9-RWDEHgnZb80Jgqsc18y1oiFAXXALpuX8LC5meDpS18JsY54_4P5jq_Zpuk0bW_y1PVEMNP_BAaP6TI-A10wz-eZQiuoLdaZsP2LQydw5MK5EeU_uhmV3zPSqsANWzeorOELE_jt0FtlEYe5wIniK-NsiuMSzG/w284-h400/prosxedio%2005.jpg" width="284" /></a></div><p></p><p><!--[if gte mso 9]><xml>
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</p><p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;">Σε λίγες
μέρες κυκλοφορεί από τις εκδόσεις </span><span lang="EN-US" style="font-family: "Helvetica",sans-serif; mso-ansi-language: EN-US;">Supremum</span><span lang="EN-US" style="font-family: "Helvetica",sans-serif;"> </span><span style="font-family: "Helvetica",sans-serif;"></span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;">Ο Δεύτερος
τόμος της Εισαγωγής στη Μαθηματική Ανάλυση: </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; font-size: 16.0pt; line-height: 107%;">Διαφορικός Λογισμός</span><span style="font-family: "Helvetica",sans-serif;"> </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;">Συναρτήσεων
μιας μεταβλητής.</span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;">Στις 800
σελίδες του </span></p>
<p class="MsoListParagraphCxSpFirst" style="mso-list: l0 level1 lfo1; text-indent: -18.0pt;"><span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"><span style="mso-list: Ignore;">·<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Helvetica",sans-serif;">Γίνεται μια συστηματική μελέτη της έννοιας της παραγώγου και την καθοριστική της
συμβολή στην επεξεργασία όχι μόνο των συναρτήσεων και των επιμέρους ιδιοτήτων
τους, αλλά και στην πληθώρα των εφαρμογών που σχετίζονται με τον ρυθμό
μεταβολής διαφόρων μεγεθών,<span style="mso-spacerun: yes;"> </span>σε όλες τις
Επιστήμες.</span></p>
<p class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18.0pt;"><span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"><span style="mso-list: Ignore;">·<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Helvetica",sans-serif;">Καταγράφεται
μια διδακτική εμπειρία 35 και πλέον ετών και χιλιάδων ωρών διδασκαλίας και
ενασχόλησης με το αντικείμενο του Διαφορικού Λογισμού και μεταφέρονται με τρόπο
ξεχωριστό και μοναδικό, οι ιδέες και μερικές φοβερές Ασκήσεις, <span style="mso-spacerun: yes;"> </span>που γεννήθηκαν μέσα από τη ζύμωση των ιδεών
και των ανακαλύψεων, σπουδαίων μαθητών και κορυφαίων σήμερα επιστημόνων, που
είχαμε την τύχη να συναντηθούν οι τροχιές μας σε αυτήν τη μεγάλη πορεία μας
μέσα στις τάξεις εκπαίδευσης Νεαρών Ικάρων. </span></p>
<p class="MsoListParagraphCxSpLast" style="mso-list: l0 level1 lfo1; text-indent: -18.0pt;"><span style="font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"><span style="mso-list: Ignore;">·<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span style="font-family: "Helvetica",sans-serif;">Παρουσιάζεται
με έναν διαφορετικό τρόπο (σύμφωνα με τις εισηγήσεις πρωτοπόρων ερευνητικών
ομάδων, που ασχολούνται επί σειρά ετών και συστηματικά, με τη μελέτη των
μέτριων επιδόσεων των μαθητών μας και με την επεξεργασία καινοτόμων ιδεών
διδακτικής προσέγγισης, οι οποίες<span style="mso-spacerun: yes;">
</span>θα<span style="mso-spacerun: yes;"> </span>έχουν σαν αποτέλεσμα την<span style="mso-spacerun: yes;"> </span>βελτίωση της<span style="mso-spacerun: yes;">
</span>Μαθηματικής Εκπαίδευσης στην πατρίδα μας) Έτσι παρουσιάζεται και με
διαφορετική σειρά, ολόκληρη η ύλη του Διαφορικού Λογισμού, <span style="mso-spacerun: yes;"> </span>με πλήρεις αποδείξεις όλων των Βασικών
Θεωρημάτων και προτάσεων από τη μια, αλλά και με μεγάλο αριθμό υποδειγματικά
λυμένων ασκήσεων, που καλύπτουν όλο το φάσμα όχι μόνο των θεμάτων των
Πανελλαδικών Εξετάσεων, αλλά όλων των προβληματισμών που μπορούν να αναπτυχθούν
με αφορμή την έννοια της Παραγώγου.</span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;">Φιλοδοξούμε
και αυτός ο τόμος να αποτελέσει,<span style="mso-spacerun: yes;"> </span>όπως
και ο πρώτος τόμος: Συναρτήσεις- Όρια- Συνέχεια,<span style="mso-spacerun: yes;"> </span>που κυκλοφορεί από τις εκδόσεις<span style="mso-spacerun: yes;"> </span></span><span lang="EN-US" style="font-family: "Helvetica",sans-serif; mso-ansi-language: EN-US;">Supremum</span><span style="font-family: "Helvetica",sans-serif;">, ένα ακόμα: <span style="mso-spacerun: yes;"> </span>Βιβλίο Αναφοράς για την Διδασκαλία της
Μαθηματικής Ανάλυσης στο Λύκειο ( και όχι μόνο) </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;">( Η μεγάλη
έκταση του <span style="mso-spacerun: yes;"> </span>δεύτερου τόμου μας υποχρέωσε
να επιμεληθούμε και έναν τρίτο τόμο,<span style="mso-spacerun: yes;"> </span>ο
οποίος θα μελετάει τον Ολοκληρωτικό Λογισμό Συναρτήσεων μιας μεταβλητής και θα
κυκλοφορήσει το Γενάρη του 2024)</span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;">Μείνετε
Συντονισμένοι </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;">(Όταν είναι
έτοιμο θα υπάρχει και ένα διάστημα προ παραγγελίας , που θα διατίθεται σε
ειδική τιμή σε όλους τους Συναδέλφους Μαθηματικούς)<span style="mso-spacerun: yes;"> </span></span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;">Όσοι
Συνάδελφοι ενδιαφέρονται για την προ παραγγελία μπορούν<span style="mso-spacerun: yes;"> </span>να στείλουν μήνυμα στο <a href="mailto:info@supremum.gr"><span lang="EN-US" style="mso-ansi-language: EN-US;">info</span>@<span lang="EN-US" style="mso-ansi-language: EN-US;">supremum</span>.<span lang="EN-US" style="mso-ansi-language: EN-US;">gr</span></a><span lang="EN-US"> </span><span style="mso-spacerun: yes;"> </span>ή στο <a href="mailto:kougioumtsiadis.b@gmail.com"><span lang="EN-US" style="mso-ansi-language: EN-US;">kougioumtsiadis</span>.<span lang="EN-US" style="mso-ansi-language: EN-US;">b</span>@<span lang="EN-US" style="mso-ansi-language: EN-US;">gmail</span>.<span lang="EN-US" style="mso-ansi-language: EN-US;">com</span></a><span lang="EN-US"> </span>ώστε να
τους δοθούν περισσότερες λεπτομέρειες και να τους σταλεί κι ένα δείγμα του
βιβλίου.</span></p><p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;"> </span></p><p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;"></span></p><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="266" src="https://www.youtube.com/embed/HUbLtdqdg9E" width="320" youtube-src-id="HUbLtdqdg9E"></iframe></div><br /> <p></p>
Βασίληςhttp://www.blogger.com/profile/08192330940730446249noreply@blogger.com0tag:blogger.com,1999:blog-4980200313074426892.post-84214390694994568972023-06-09T18:59:00.005+03:002023-06-13T08:20:20.840+03:00Μαθηματικά Προσανατολισμού 2023 Εκφωνήσεις- Απαντήσεις <p></p><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><br /> <div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiFoZuJQML1yvumeJjM3n5FNjmZXLna-KKaczWVHCf7khW5wgQ12-I2WSPkcuGVnukO2gfm2YUBzz7-Rhp_0G7dOjbbgh9hlhkVJuUg0euKOXuQ3q9laZ8g5WpwbTlPuBp0jRcQOu2oBV0f47CVT7OjUIhVMgkKShlIlnf8S6iihFx6LARDpYqdQ3z3ag/s2339/MATHIMATIKA_%CE%9F%CE%A1_HM_2023_04_Page_1(1).jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="2339" data-original-width="1654" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiFoZuJQML1yvumeJjM3n5FNjmZXLna-KKaczWVHCf7khW5wgQ12-I2WSPkcuGVnukO2gfm2YUBzz7-Rhp_0G7dOjbbgh9hlhkVJuUg0euKOXuQ3q9laZ8g5WpwbTlPuBp0jRcQOu2oBV0f47CVT7OjUIhVMgkKShlIlnf8S6iihFx6LARDpYqdQ3z3ag/w283-h400/MATHIMATIKA_%CE%9F%CE%A1_HM_2023_04_Page_1(1).jpg" width="283" /></a></div><br /><p></p><div class="separator" style="clear: both; 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<w:TrackMoves/>
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<w:EnableOpenTypeKerning/>
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<w:LsdException Locked="false" Priority="9" SemiHidden="true"
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<w:LsdException Locked="false" Priority="9" SemiHidden="true"
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<w:LsdException Locked="false" Priority="9" SemiHidden="true"
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<w:LsdException Locked="false" Priority="9" SemiHidden="true"
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<w:LsdException Locked="false" Priority="9" SemiHidden="true"
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<w:LsdException Locked="false" Priority="9" SemiHidden="true"
UnhideWhenUsed="true" QFormat="true" Name="heading 7"/>
<w:LsdException Locked="false" Priority="9" SemiHidden="true"
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<w:LsdException Locked="false" Priority="9" SemiHidden="true"
UnhideWhenUsed="true" QFormat="true" Name="heading 9"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" Name="toc 2"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" Name="toc 3"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" Name="toc 6"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="35" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="10" QFormat="true" Name="Title"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="1" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="22" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="39" Name="Table Grid"/>
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<w:LsdException Locked="false" Priority="60" Name="Light Shading"/>
<w:LsdException Locked="false" Priority="61" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/>
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<w:LsdException Locked="false" Priority="65" Name="Medium List 1"/>
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<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1"/>
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<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3"/>
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<w:LsdException Locked="false" Priority="72" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 1"/>
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<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" QFormat="true"
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<w:LsdException Locked="false" Priority="30" QFormat="true"
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<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 1"/>
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<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/>
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<w:LsdException Locked="false" Priority="61" Name="Light List Accent 3"/>
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<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 4"/>
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<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 5"/>
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<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" QFormat="true"
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<w:LsdException Locked="false" Priority="21" QFormat="true"
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<w:LsdException Locked="false" Priority="31" QFormat="true"
Name="Subtle Reference"/>
<w:LsdException Locked="false" Priority="32" QFormat="true"
Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" SemiHidden="true"
UnhideWhenUsed="true" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/>
<w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
<w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
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<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span face=""Helvetica",sans-serif" style="font-family: helvetica; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Θέματα που καλύπτουν πολύ μεγάλο
μέρος της εξεταστέας ύλης.</span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span face=""Helvetica",sans-serif" style="font-family: helvetica; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Δεν ήταν εύκολα θέματα, </span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span face=""Helvetica",sans-serif" style="font-family: helvetica; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">παρόλο που οι καλά προετοιμασμένοι
μαθητές </span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span face=""Helvetica",sans-serif" style="font-family: helvetica; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">παρέδωσαν άριστο γραπτό σχεδόν 20
λεπτά πριν τη λήξη του διαθέσιμου χρόνου, και αυτό συμβαίνει πρώτη φορά.</span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span face=""Helvetica",sans-serif" style="font-family: helvetica; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Απαιτητική Θεωρία και μη τετριμμένη </span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span face=""Helvetica",sans-serif" style="font-family: helvetica; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Θέμα Β με αρκετές παγίδες . Απαιτεί
πολύ καλή γνώση της Άλγεβρας της Α Λυκείου. </span></p><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span face=""Helvetica",sans-serif" style="font-family: helvetica; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Το όριο ίσως δυσκόλεψε μερικούς αν
και είναι πολύ διαδεδομένη πλέον η αντιμετώπιση του.</span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span face=""Helvetica",sans-serif" style="font-family: helvetica; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Θέμα Γ σχετικά εύκολο, με
συναρτήσεις που οι μαθητές έχουν συναντήσει στην Α και Β Λυκείου. Το εμβαδό θα
γίνει αιτία να χαθούν αδικαιολόγητα μόρια. </span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span face=""Helvetica",sans-serif" style="font-family: helvetica; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Θέμα Δ απαιτητικό και πολύ έξυπνο το
Δ4 και η σύνδεση του με το πρόσημο της f και το ορισμένο ολοκλήρωμα της στο
διάστημα [x_1,x_2] με τη χρήση των παραγουσών F ή G.</span></p><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span face=""Helvetica",sans-serif" style="font-family: helvetica; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"><a href="http://www.hms.gr/?q=node/1970" target="_blank">Εδώ το σχόλιο της Ελληνικής Μαθηματικής Εταιρείας:</a> </span></p><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"> </span></p>
<p></p>Βασίληςhttp://www.blogger.com/profile/08192330940730446249noreply@blogger.com0tag:blogger.com,1999:blog-4980200313074426892.post-58676627171272469492023-05-15T15:06:00.004+03:002023-08-06T11:50:16.754+03:00"Η Ανάγκη Ύπαρξης βιβλίων Αναφοράς για τη Μαθηματική Ανάλυση στο Λύκειο". 13η Διεθνής Μαθηματική Εβδομάδα. <p> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhSIrAzzpohZuDSepcz-YZ6aCS-mpqzxRcpRHzXsCAnxaq-3MRcZAOKef3ft-kfbqSMXliHhmB6QTDZhG38vsts2pbuT-_uIw8hv8dN9rQOujOfqsx0lX5yN_0Rx1nlS2gbDImFhQYAWB3YXQk4H1bKzlkBlGknot76FsaKipgO-PeDDgTn5GKjGYOyFg/s1875/13%CE%B7%20%CE%94%CE%B9%CE%B5%CE%B8%CE%BD%CE%AE%CF%82%20%CE%9C%CE%B1%CE%B8%CE%B7%CE%BC%CE%B1%CF%84%CE%B9%CE%BA%CE%AE%20%CE%95%CE%B2%CE%B4%CE%BF%CE%BC%CE%AC%CE%B4%CE%B1%202013%20%CE%92.%CE%9A..jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1522" data-original-width="1875" height="325" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhSIrAzzpohZuDSepcz-YZ6aCS-mpqzxRcpRHzXsCAnxaq-3MRcZAOKef3ft-kfbqSMXliHhmB6QTDZhG38vsts2pbuT-_uIw8hv8dN9rQOujOfqsx0lX5yN_0Rx1nlS2gbDImFhQYAWB3YXQk4H1bKzlkBlGknot76FsaKipgO-PeDDgTn5GKjGYOyFg/w400-h325/13%CE%B7%20%CE%94%CE%B9%CE%B5%CE%B8%CE%BD%CE%AE%CF%82%20%CE%9C%CE%B1%CE%B8%CE%B7%CE%BC%CE%B1%CF%84%CE%B9%CE%BA%CE%AE%20%CE%95%CE%B2%CE%B4%CE%BF%CE%BC%CE%AC%CE%B4%CE%B1%202013%20%CE%92.%CE%9A..jpg" width="400" /></a></div><p></p><p><br /></p><p><!--[if gte mso 9]><xml>
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Name="List 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 5"/>
<w:LsdException Locked="false" Priority="10" QFormat="true" Name="Title"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Closing"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Signature"/>
<w:LsdException Locked="false" Priority="1" SemiHidden="true"
UnhideWhenUsed="true" Name="Default Paragraph Font"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Message Header"/>
<w:LsdException Locked="false" Priority="11" QFormat="true" Name="Subtitle"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Salutation"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Date"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text First Indent"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text First Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Note Heading"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Block Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Hyperlink"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="FollowedHyperlink"/>
<w:LsdException Locked="false" Priority="22" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Document Map"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Plain Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="E-mail Signature"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Top of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Bottom of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal (Web)"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Acronym"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Address"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Cite"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Code"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Definition"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Keyboard"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Preformatted"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Sample"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Typewriter"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Variable"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal Table"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="annotation subject"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="No List"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Contemporary"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Elegant"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Professional"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Balloon Text"/>
<w:LsdException Locked="false" Priority="39" Name="Table Grid"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Theme"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Placeholder Text"/>
<w:LsdException Locked="false" Priority="1" QFormat="true" Name="No Spacing"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading"/>
<w:LsdException Locked="false" Priority="61" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 1"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" QFormat="true"
Name="List Paragraph"/>
<w:LsdException Locked="false" Priority="29" QFormat="true" Name="Quote"/>
<w:LsdException Locked="false" Priority="30" QFormat="true"
Name="Intense Quote"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 1"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 1"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 1"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 1"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 1"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 1"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 1"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 2"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 2"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 2"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 2"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 2"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 2"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 2"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 2"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 2"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 2"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 3"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 3"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 3"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 3"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 3"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 3"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 3"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 3"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 3"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 3"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 3"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 3"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 3"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 4"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 4"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 4"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 4"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 4"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 4"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 4"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 4"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 4"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 4"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 4"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 4"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 4"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 4"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 5"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 5"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 5"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 5"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 5"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 5"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 5"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 5"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 5"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 5"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 5"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 5"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" QFormat="true"
Name="Subtle Emphasis"/>
<w:LsdException Locked="false" Priority="21" QFormat="true"
Name="Intense Emphasis"/>
<w:LsdException Locked="false" Priority="31" QFormat="true"
Name="Subtle Reference"/>
<w:LsdException Locked="false" Priority="32" QFormat="true"
Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" SemiHidden="true"
UnhideWhenUsed="true" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/>
<w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
<w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
<w:LsdException Locked="false" Priority="43" Name="Plain Table 3"/>
<w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/>
<w:LsdException Locked="false" Priority="45" Name="Plain Table 5"/>
<w:LsdException Locked="false" Priority="40" Name="Grid Table Light"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 4"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 5"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 5"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 5"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 5"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 5"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 6"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 6"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 6"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 6"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 6"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="46" Name="List Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="List Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="List Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
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που διήρκησε από τις 8 έως τις 14 Μαΐου 2023 ολοκληρώθηκε επιτυχώς. </span><span style="font-family: helvetica; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"></span></p>
<p class="MsoNormal" style="line-height: 106%;"><span style="font-family: helvetica; font-size: 12pt; line-height: 106%; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Ήταν μια εβδομάδα γεμάτη γνώση, έμπνευση
και ανταλλαγή ιδεών. </span></p>
<p class="MsoNormal" style="line-height: 106%;"><span style="font-family: helvetica; font-size: 12pt; line-height: 106%; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Ήταν μεγάλη μου τιμή, να συμμετάσχω
ως ομιλητής και να ανταλλάξω ιδέες, γνώσεις και εμπειρίες με τόσους αξιόλογους
συναδέλφους επιστήμονες και εκπαιδευτικούς.</span><span style="font-family: helvetica; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"></span></p>
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μαθηματικής επιστήμης γενικότερα. Τέτοιες πρωτοβουλίες είναι ουσιαστικές για
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τους Μαθηματικούς και όχι μόνο εκδήλωσης. Αν μη τι άλλο καταδεικνύει την αγωνία
και ταυτόχρονα την αναγκαιότητα, <span style="mso-spacerun: yes;"> </span>ώστε να
ανοίξει μια συζήτηση για το είδος των Μαθηματικών συγγραμμάτων που έχουμε
ανάγκη, όλοι όσοι ασχολούμαστε με την εκπαίδευση των νεαρών μαθητών. Ιδιαίτερα
θέλω και από τη θέση αυτή, να εκφράσω τις ευχαριστίες μου στον κ. Γιάννη Θωμαΐδη
όχι μόνο για την ενθάρρυνση στην συγγραφή της παρούσας εισήγησης, άλλα γιατί οι
διαλέξεις του εδώ και μια 10 ετία που τον παρακολουθώ και η αυστηρή κριτική του
στον τρόπο παρουσίασης της Θεωρίας της Μαθηματικής Ανάλυσης, από την πλευρά των
διδασκόντων, στους μαθητές του Λυκείου, αποτέλεσε ένα από τα βασικά εναύσματα,
για την συγγραφή από μέρους μου εκτός των άλλων και ενός βιβλίου Εισαγωγής στη
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</p><p class="MsoNormal"><span style="font-family: helvetica; font-size: 12pt; line-height: 107%;">Ακολουθεί παρακάτω η εισήγηση μου </span></p>
<p class="MsoNormal"><span style="font-family: helvetica; font-size: 12pt; line-height: 107%;">Με Θέμα: Η Ανάγκη Ύπαρξης βιβλίων Αναφοράς για τη
Μαθηματική Ανάλυση στο Λύκειο.</span></p>
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="index 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="index 9"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" Name="toc 2"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" Name="toc 3"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" Name="toc 5"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" Name="toc 6"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" Name="toc 7"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" Name="toc 8"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" Name="toc 9"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="header"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="35" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="envelope address"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="toa heading"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="10" QFormat="true" Name="Title"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="1" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="11" QFormat="true" Name="Subtitle"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="22" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Cite"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Preformatted"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="39" Name="Table Grid"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" Name="Placeholder Text"/>
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<w:LsdException Locked="false" Priority="60" Name="Light Shading"/>
<w:LsdException Locked="false" Priority="61" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 1"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" QFormat="true"
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<w:LsdException Locked="false" Priority="29" QFormat="true" Name="Quote"/>
<w:LsdException Locked="false" Priority="30" QFormat="true"
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<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 1"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 1"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 1"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 1"/>
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<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 1"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 1"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 2"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 2"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 2"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 2"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 2"/>
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<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 2"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 2"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 2"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 2"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 2"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 3"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 3"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 3"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 3"/>
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<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 3"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 3"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 4"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 4"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 4"/>
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<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 4"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 4"/>
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<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 4"/>
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<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 4"/>
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<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 4"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 4"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 5"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 5"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 5"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 5"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 5"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 5"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 5"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 5"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 5"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 5"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 5"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 5"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" QFormat="true"
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<w:LsdException Locked="false" Priority="21" QFormat="true"
Name="Intense Emphasis"/>
<w:LsdException Locked="false" Priority="31" QFormat="true"
Name="Subtle Reference"/>
<w:LsdException Locked="false" Priority="32" QFormat="true"
Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" SemiHidden="true"
UnhideWhenUsed="true" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/>
<w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
<w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
<w:LsdException Locked="false" Priority="43" Name="Plain Table 3"/>
<w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/>
<w:LsdException Locked="false" Priority="45" Name="Plain Table 5"/>
<w:LsdException Locked="false" Priority="40" Name="Grid Table Light"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 1"/>
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</p><p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;"> </span></p><p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;">Θα ήθελα
και από αυτή τη θέση να ευχαριστήσω </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;">Την Κυρία
Όλγα Δημητρίου, </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;">για τις συμβουλές
της, την ενέργεια της, τη θετική της σκέψη και την επαγγελματική της προσήλωση,
(παρόλο το γεγονός ότι δεν μας συνδέει κανενός είδους επαγγελματική σχέση) καθ’
όλη τη διάρκεια συγγραφής της διάλεξης, </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;">και μάλιστα
σε μια περίοδο που ο προσωπικός χρόνος της ήταν περιορισμένος.</span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;">Με την
πολύτιμη εμπειρία της, </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;">μετέτρεψε
μια κουραστική, αρχικά μακροσκελή </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;">κι ανούσια παράθεση
κατεβατών </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;">( που εγώ
σαν Μαθηματικός τα θεωρούσα όλα απαραίτητα;;;;;) </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;">σε μια πολύ
ελκυστική, περιεκτική και κομψή παρουσίαση.</span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;">Χωρίς την
καθοριστική της συμβολή, τα όσα σημαντικά ( αν περιέχει) </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;">αυτή η διάλεξη
θα ήταν θαμμένα κάτω από το βάρος (άχρηστων) και βαρετών πληροφοριών. </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;">Κυρία
Δημητρίου Σας Ευχαριστώ Θερμά!!</span></p>
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margin-right: 1em;"><img border="0" data-original-height="5100" data-original-width="6600" height="309" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhvIh_G0fpLR3dB_3dcV7dcvqxfwjdSVc1uWhgjXVMzAId8PvKYd5eFa39uZyEXZ38lnrlvUwXSUxWiGCQTKZHOqX_rVJHGBk-rPuAXlzBnC6qZzbAcDVVPFoCLOSH7TC3UZlBsV3_7TFYEag3UKUKJJiH3xcbswim6p7ZDj0Fz61HUWAa74cbLQ8wqig/w400-h309/%CE%97%20%CE%91%CE%BD%CE%AC%CE%B3%CE%BA%CE%B7%20%CE%8E%CF%80%CE%B1%CF%81%CE%BE%CE%B7%CF%82%20%CE%B2%CE%B9%CE%B2%CE%BB%CE%AF%CF%89%CE%BD%20%CE%91%CE%BD%CE%B1%CF%86%CE%BF%CF%81%CE%AC%CF%82%20%CE%B3%CE%B9%CE%B1%20%CF%84%CE%B7%20%CE%9C%CE%B1%CE%B8%CE%B7%CE%BC%CE%B1%CF%84%CE%B9%CE%BA%CE%AE%20%CE%91%CE%BD%CE%AC%CE%BB%CF%85%CF%83%CE%B7%20%CF%80%CE%BF%CF%85%20%CE%B4%CE%B9%CE%B4%CE%AC%CF%83%CE%BA%CE%B5%CF%84%CE%B1%CE%B9%20%CF%83%CF%84%CE%BF%20%CE%9B%CF%8D%CE%BA%CE%B5%CE%B9%CE%BF_Page_58.jpg" width="400" /></a></div><br />Βασίληςhttp://www.blogger.com/profile/08192330940730446249noreply@blogger.com0tag:blogger.com,1999:blog-4980200313074426892.post-11986287872999831222023-05-08T10:26:00.005+03:002023-05-08T10:27:49.642+03:00Το πρόγραμμα της 13ης Διεθνούς Μαθηματικής Εβδομάδας <p> <br /></p><p><!--[if gte mso 9]><xml>
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Εισαγωγή στη Μαθηματική Ανάλυση. τόμος Α: Συναρτήσεις- Όρια- Συνέχεια.<p> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhSWdfGfg-sl75Oae-uQSd6ejpW13OeF64sj9GVqPmV9LPp7c58NTrW2o2_U94r6zh5WYGn5qsg92K5hMfCrQrmSP-_nKiJbCthFamVb7ZyL8wiCS3T5dN-SmDkERx3ggP0QuZZXCCzInu2_RMo6GbLoFgJkVxSKzQpKFlxzOJrnI6Ba8f8GdaHYHnd2A/s1417/eksofilo%2005.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1417" data-original-width="945" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhSWdfGfg-sl75Oae-uQSd6ejpW13OeF64sj9GVqPmV9LPp7c58NTrW2o2_U94r6zh5WYGn5qsg92K5hMfCrQrmSP-_nKiJbCthFamVb7ZyL8wiCS3T5dN-SmDkERx3ggP0QuZZXCCzInu2_RMo6GbLoFgJkVxSKzQpKFlxzOJrnI6Ba8f8GdaHYHnd2A/w266-h400/eksofilo%2005.jpg" width="266" /></a></div><p></p><p><!--[if gte mso 9]><xml>
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</p><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><b><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Για Μαθητές όλων των επιπέδων</span></b></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><b><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Ο πολύ καλός θα απογειώσει τις
γνώσεις του με τα πρωτότυπα Θέματα και τους προτεινόμενους τρόπους
αντιμετώπισης.</span></b></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><b><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Ο καλός θα καλύψει κενά και θα
αποσαφηνίσει παρανοήσεις που τον εμποδίζουν να κατακτήσει τη θεωρία σε όλο το
βάθος της.</span></b></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><b><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Ο απογοητευμένος θα βρει έναν <span style="mso-spacerun: yes;"> </span>σύμμαχο στην προσπάθεια του να κατακτήσει τη
Μαθηματική Γνώση, αφού όλα τα θέματα που διαπραγματεύεται το βιβλίο είναι
αναλυτικά επεξεργασμένα και παρουσιάζονται με απλό τρόπο, χωρίς άλματα σκέψης και
παραλειπόμενες πράξεις.</span></b></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"> </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><b><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Θέλεις ολοκληρωμένη γνώση
μαθηματικών;</span></b></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">ΜΠΟΡΕΙΣ! Με ένα βιβλίο καθημερινής
μελέτης που εστιάζει στη θεωρία, με αναλυτικό τρόπο και πολλά παραδείγματα.
ΠΕΡΙΕΧΕΙ όλες τις απαραίτητες γνώσεις από προηγούμενες τάξεις και υποδειγματικά
λυμένες ασκήσεις, όλου του φάσματος, που συνδυάζουν κριτική σκέψη και καλή γνώση
των θεωρημάτων.</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"> </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Εκτός όλων των άλλων, το καινούργιο
βιβλίο,<span style="mso-spacerun: yes;"> </span>περιλαμβάνει στο εισαγωγικό
κεφάλαιο 0,<span style="mso-spacerun: yes;"> </span>όλες τις απαραίτητες γνώσεις
από προηγούμενες τάξεις ( που όπως έχουμε διαπιστώσει,<span style="mso-spacerun: yes;"> </span>η άγνοια τους, από μεγάλη μερίδα των μαθητών
μας, αποτελεί τροχοπέδη στην απρόσκοπτη παρακολούθηση και κατάκτηση του
μαθήματος της Μαθηματικής Ανάλυσης) </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Το βιβλίο είναι διδακτικό με την
παλιά έννοια του όρου: Το ανοίγεις και κάνεις μάθημα. </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Με αναλυτικά λυμένα παραδείγματα και
όλες τις προτεινόμενες ασκήσεις αναλυτικά λυμένες, όπως και τα δυο
προηγούμενα βιβλία μου άλλωστε.</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Στις 672 σελίδες του πρώτου τόμου,
γίνεται αναλυτική παρουσίαση της Θεωρίας της Μαθηματικής Ανάλυσης,<span style="mso-spacerun: yes;"> </span>με πλήθος παραδειγμάτων, σχολίων, αντιπαραδειγμάτων,
Ισχυρισμών με αναλυτική αιτιολόγηση και παρατηρήσεων που συνοδεύουν την κάθε
θεματική ενότητα. Και βέβαια το κύριο μέρος του βιβλίου αποτελείται από
υποδειγματικά και αναλυτικά λυμένες πρωτότυπες ασκήσεις.</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Απευθύνεται </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><b><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Σε μαθητές όλων των επιπέδων. </span></b></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Είτε κάποιος ξεκινάει τώρα (μαθητές
της Β Λυκείου) , είτε βρίσκεται στη διαδικασία επανάληψης, το βιβλίο αυτό θα τον
βοηθήσει να οργανώσει τις απαραίτητες γνώσεις και να τις κατακτήσεις. Αλλά και </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><b><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Σε πρωτοετείς φοιτητές
Πανεπιστημιακών σχολών</span></b><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"> με βασικό αντικείμενο μελέτης τα μαθηματικά. Αφού περιέχει </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Όλα τα βασικά θεωρήματα της Ανάλυσης
με πλήρεις αποδείξεις. </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Όλες οι βασικές προτάσεις και
έννοιες που θεωρούνται γνωστές για τους πρωτοετείς φοιτητές και κανένας τους
ποτέ δεν τις έχει διδαχθεί. </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Λυμένες ασκήσεις, όλου του φάσματος,
που συνδυάζουν κριτική σκέψη και γνώση των θεωρημάτων. Απευθύνεται επίσης </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><b><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Σε <span style="mso-spacerun: yes;"> </span>Συνάδελφους Μαθηματικούς μιας και </span></b></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Αποτελεί ένα μοντέλο διδακτικής
προσέγγισης του μαθήματος της Ανάλυσης που μπορεί να χρησιμοποιηθεί ως επιπλέον
εργαλείο στο πλάνο που ο κάθε <span style="mso-spacerun: yes;"> </span>εκπαιδευτικός έχει προσαρμόσει στην τάξη του.
Ένα εργαλείο σύμμαχος στο δύσκολο έργο των Μαθηματικών να πείσουν τους νεαρούς
εφήβους πως η ολοκληρωμένη γνώση είναι εφικτή και αναγκαία. </span></span></p><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">κι ένα ταξίδι στη γη.....<br /></span></span></p><span style="font-family: helvetica;">
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<p></p>Βασίληςhttp://www.blogger.com/profile/08192330940730446249noreply@blogger.com0tag:blogger.com,1999:blog-4980200313074426892.post-13589450527689993072023-01-17T11:44:00.003+02:002023-01-17T11:44:58.226+02:00<p> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiuGrLUiF7iGGnZ8CNBKm7XtVgMMklS57n50kZF25n_ZgYoz7H9sfMvHLNh-733ULXgTkKh6YcnJqYvXz-PsYO_9TYiAycFrtFrqR3kUT6g7SavBHGQ2XF0KL-Fy8J7y8ADFe6GxKAT4SwvGojIyZyMMbiedwROGjD3tpFNb6IfVpMOqY9zpS4OJxRUUw/s1417/eksofilo%2005.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1417" data-original-width="945" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiuGrLUiF7iGGnZ8CNBKm7XtVgMMklS57n50kZF25n_ZgYoz7H9sfMvHLNh-733ULXgTkKh6YcnJqYvXz-PsYO_9TYiAycFrtFrqR3kUT6g7SavBHGQ2XF0KL-Fy8J7y8ADFe6GxKAT4SwvGojIyZyMMbiedwROGjD3tpFNb6IfVpMOqY9zpS4OJxRUUw/w266-h400/eksofilo%2005.jpg" width="266" /></a></div><p></p><p><br /></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiVOFhNz8NoCDOvwcwq0xvCyHyPkhxhHpxcMJTj6LiD0bVyRjCHy6G6O9sA6XTpoMrsYHkC8JVtQfO9n5O4LZ_uigjtYrxDtbRarJrmWhywXJkiJ7d6wbyR___BOdu7B2vhk_f5fiYhD-LEtZCVzENea21x9LDu2uNt8S4ea1vZq5062a8S6DFRB1sH7Q/s2126/logo%20orizontio.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="839" data-original-width="2126" height="158" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiVOFhNz8NoCDOvwcwq0xvCyHyPkhxhHpxcMJTj6LiD0bVyRjCHy6G6O9sA6XTpoMrsYHkC8JVtQfO9n5O4LZ_uigjtYrxDtbRarJrmWhywXJkiJ7d6wbyR___BOdu7B2vhk_f5fiYhD-LEtZCVzENea21x9LDu2uNt8S4ea1vZq5062a8S6DFRB1sH7Q/w400-h158/logo%20orizontio.jpg" width="400" /></a></div><p></p><p><br /></p><p><!--[if gte mso 9]><xml>
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</p><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Σε λίγες μέρες κυκλοφορεί από τις εκδόσεις </span><span lang="EN-US" style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">supremum</span><span lang="EN-US" style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"> </span><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"><span style="mso-spacerun: yes;"> </span>το καινούργιο
βιβλίο του Βασίλη Κουγιουμτσιάδη</span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Εισαγωγή στη Μαθηματική Ανάλυση. Τόμος Α </span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: "Helvetica",sans-serif; font-size: 22.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Συναρτήσεις- Όρια – Συνέχεια.</span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Είναι βιβλίο θεωρίας, χωρισμένο σε διδακτικές ενότητες.
Φτάνει μέχρι τη Συνέχεια σε κλειστό διάστημα.</span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Βιβλίο που απευθύνεται κυρίως σε Μαθητές και Νέους Συναδέλφους Μαθηματικούς
και πρωτοετείς φοιτητές. </span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Αλλά και σε όλους τους Συναδέλφους Μαθηματικούς, που τα τελευταία χρόνια,
με αφορμή την αλληλοτροφοδότηση των ιδεών μας και την ανταλλαγή των διδακτικών
εμπειριών μας, συναντήθηκαν οι τροχιές μας, <span style="mso-spacerun: yes;"> </span>κι αυτή η συνάντηση μας έκανε όλους σοφότερους,
μας βοήθησε να αντιληφθούμε τα λάθη μας και μας απογείωσε στον κοινό σκοπό και
στόχο: της Αναβάθμισης της Μαθηματικής Παιδείας στην πατρίδα μας και την κατάκτηση
της βαθιάς Μαθηματικής Γνώσης από τους μαθητές μας. </span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Εκτός όλων των άλλων, το καινούργιο βιβλίο, <span style="mso-spacerun: yes;"> </span>περιλαμβάνει στο εισαγωγικό κεφάλαιο 0, <span style="mso-spacerun: yes;"> </span>όλες τις απαραίτητες γνώσεις από προηγούμενες
τάξεις ( που όπως έχουμε διαπιστώσει, <span style="mso-spacerun: yes;"> </span>η
άγνοια τους, από μεγάλη μερίδα των μαθητών μας, αποτελεί τροχοπέδη στην απρόσκοπτη
παρακολούθηση και κατάκτηση του μαθήματος της Μαθηματικής Ανάλυσης) </span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Το βιβλίο είναι διδακτικό με την παλιά έννοια του όρου: Το ανοίγεις και
κάνεις μάθημα. </span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Με αναλυτικά λυμένα παραδείγματα και όλες τις προτεινόμενες ασκήσεις
αναλυτικά λυμένες, όπως και τα δυο προηγούμενα βιβλία μου άλλωστε.</span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Στις 672 σελίδες του πρώτου τόμου, γίνεται αναλυτική παρουσίαση της Θεωρίας
της Μαθηματικής Ανάλυσης, <span style="mso-spacerun: yes;"> </span>με πλήθος παραδειγμάτων,
σχολίων και παρατηρήσεων που συνοδεύουν την κάθε θεματική ενότητα. Και
βέβαια το κύριο μέρος του βιβλίου αποτελείται από υποδειγματικά και αναλυτικά λυμένες
πρωτότυπες ασκήσεις.</span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Ο δεύτερος τόμος θα είναι: Διαφορικός Λογισμός και ο τρίτος: Ολοκληρωτικός
Λογισμός και 10 νέα Διαγωνίσματα. Μέχρι τέλος Μάρτη θα κυκλοφορήσουν!</span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"> </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;">Λίγα Λόγια
για τις εκδόσεις </span><span lang="EN-US" style="font-family: "Helvetica",sans-serif; mso-ansi-language: EN-US;">Supremum</span><span lang="EN-US" style="font-family: "Helvetica",sans-serif;"> </span><span style="font-family: "Helvetica",sans-serif;"></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family: "Helvetica",sans-serif; font-size: 16.0pt; line-height: 107%; mso-ansi-language: EN-US;">Supremum</span><span style="font-family: "Helvetica",sans-serif; font-size: 16.0pt; line-height: 107%;">:
εκδόσεις Μαθηματικών Συγγραμμάτων. </span></p>
<p class="MsoNormal">@<span style="color: #262626; font-family: "Segoe UI",sans-serif;">supremumbooks</span></p>
<p class="MsoNormal"><a href="https://www.facebook.com/profile.php?id=100087589874244"><span style="font-family: "Segoe UI",sans-serif;">https://www.facebook.com/profile.php?id=100087589874244</span></a><span style="color: #262626; font-family: "Segoe UI",sans-serif;"></span></p>
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</p><p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;">Με σεβασμό
στον Συγγραφέα ως βασικό και αναντικατάστατο κρίκο δημιουργίας ενός βιβλίου</span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;"> </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;">Η πρόσφατη
εκδοτική μας παρέμβαση, έρχεται ως ολοκλήρωση της τριαντάχρονης πορείας μας στη
Μαθηματική Εκπαίδευση. Με καινούργιο εφεξής όχημα τις εκδόσεις </span><b><span lang="EN-US" style="font-family: "Helvetica",sans-serif; mso-ansi-language: EN-US;">supremum</span></b><span style="font-family: "Helvetica",sans-serif;"> που στόχο έχουν την πιο ουσιαστική
και την πιο επαγγελματική παρέμβαση στις επιστημονικές εκδόσεις και όχι μόνο. </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;">Με σεβασμό
πρωτίστως στον Συγγραφέα και στα συγγραφικά του δικαιώματα, σε μια περίοδο που
κυριαρχεί η στυγνή αντίληψη του κέρδους και η εξευτελιστική αμοιβή του
παραγωγού του έργου, εμείς στις εκδόσεις </span><span lang="EN-US" style="font-family: "Helvetica",sans-serif; mso-ansi-language: EN-US;">supremum</span><span style="font-family: "Helvetica",sans-serif;">, επιμένουμε να είμαστε ρομαντικοί,
στα χνάρια των πρώτων τυπογράφων, προσηλωμένοι στην Αρχή, ότι ένα Μαθηματικό
Κείμενο, πρωτίστως είναι μια πρωτοπόρα καλλιτεχνική δημιουργία και έτσι ακριβώς
πρέπει να αντιμετωπίζεται από όλους τους συντελεστές παραγωγής και διάθεσης
Μαθηματικών Συγγραμμάτων. </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;"> </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif;">Μείνετε
συντονισμένοι …..</span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"> </span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">ο Α τόμος θα κυκλοφορήσει τέλος Γενάρη. </span></p><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"> </span></p><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"></span></p><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="266" src="https://www.youtube.com/embed/yNvc1lD_0Rg" width="320" youtube-src-id="yNvc1lD_0Rg"></iframe></div><br /> <p></p>
<p></p>Βασίληςhttp://www.blogger.com/profile/08192330940730446249noreply@blogger.com0tag:blogger.com,1999:blog-4980200313074426892.post-885466837204046112022-07-01T11:05:00.003+03:002022-07-01T11:05:37.787+03:00Αλλά τίποτα δεν τελείωσε και δεν έφυγε κανείς....…<p> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiUMiXyxEXAGLmfM6PzJGbPzfD6dkkoV3nUMFxxtknFhB8IlcfN_ozddK7CjpM9PgspxduZZ-458Gg5kPcvzx8eA66edMGo8F26r_0SAF0HlqOxFhDtBh94nVra2ZotjKsWEY2t4txo_-j37ZJ3gtFi6W6wjWwdHR7oJ7k1XJ1aPtLYcm1mV6h2M3L2gw/s2778/IMG_20220629_162047_319.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="2778" data-original-width="1284" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiUMiXyxEXAGLmfM6PzJGbPzfD6dkkoV3nUMFxxtknFhB8IlcfN_ozddK7CjpM9PgspxduZZ-458Gg5kPcvzx8eA66edMGo8F26r_0SAF0HlqOxFhDtBh94nVra2ZotjKsWEY2t4txo_-j37ZJ3gtFi6W6wjWwdHR7oJ7k1XJ1aPtLYcm1mV6h2M3L2gw/w185-h400/IMG_20220629_162047_319.jpg" width="185" /></a></div><br /><div class="separator" style="clear: both; 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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="35" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="10" QFormat="true" Name="Title"/>
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="1" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="22" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="39" Name="Table Grid"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="61" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/>
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<w:LsdException Locked="false" Priority="65" Name="Medium List 1"/>
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<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1"/>
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<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3"/>
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<w:LsdException Locked="false" Priority="72" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid"/>
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<w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
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<w:LsdException Locked="false" Priority="30" QFormat="true"
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<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/>
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<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/>
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<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
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<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
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<w:LsdException Locked="false" Priority="19" QFormat="true"
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<w:LsdException Locked="false" Priority="21" QFormat="true"
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<w:LsdException Locked="false" Priority="31" QFormat="true"
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<w:LsdException Locked="false" Priority="32" QFormat="true"
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<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
<w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
<w:LsdException Locked="false" Priority="43" Name="Plain Table 3"/>
<w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/>
<w:LsdException Locked="false" Priority="45" Name="Plain Table 5"/>
<w:LsdException Locked="false" Priority="40" Name="Grid Table Light"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/>
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<w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
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<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
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<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 3"/>
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<style>
/* Style Definitions */
table.MsoNormalTable
{mso-style-name:"Κανονικός πίνακας";
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<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Η Αριστεία και η Επιτυχία έχουν ονοματεπώνυμο ...@dimtzov @__lalouu
@marinos_dimitriou_ @jenny_vekiou ... </span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"> </span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Καλά ταξίδια μάτια μου στις Θάλασσες του Κόσμου.</span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"> </span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Είστε όλοι εδώ... </span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">παλιοί και νέοι ονειρευτές και μοναδικοί συνταξιδιώτες.... </span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">μοιραζόμαστε την Ομορφιά και τη Χαρά. </span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Καθώς τα χρόνια σφραγίζουν τις επιλογές μας </span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">και τις αέναες αιωρήσεις μας στο σχοινί, χωρίς το δίχτυ, </span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">οι Νέοι Ίκαροι είναι εδώ, </span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">για να μας θυμίζουν "πως μάταιο ταξίδι, δεν υπάρχει"</span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">και ότι η Απογείωση απαιτεί καύσιμα μη εμπορεύσιμα : όπως</span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Όνειρο, Μαγεία, Έμπνευση</span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Αλλά και Αλήθεια, Επιμονή, Βαθιά Επιστημονική Γνώση, Προσήλωση στο Στόχο, </span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Μοίρασμα και Αποδοχή της Διαφορετικότητας, </span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">σε πείσμα των ιερατείων, που καραδοκούν, </span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">με ιαχές και ουρλιαχτά να ματαιώσουν, </span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">την Απόφαση και την Επιλογή Ζωής. </span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Και προπάντων, μια τέτοια στάση απαιτεί να έχεις πρόσωπο στραμμένο στον
Ήλιο!</span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Και αναγκαστικά, έτσι., μ’ αυτά τα σπουδαία παιδιά, </span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">να μας συντροφεύουν, δεν μπορούμε να σιωπούμε και δεν μπορούμε παρά να
στεκόμαστε απέναντι σε κάθε έννοια συνδιαλλαγής και υπόγειας διαδρομής… </span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">κι «ας μην έχουμε, όσα αληθινά μας αξίζουν» όπως λέει κι ο φίλος μας ο
Νικόλας Τζοβάρας.</span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Έχουμε όμως όλους Εσάς....</span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Κι έτσι… η «Ανάγκη γίνεται Ιστορία» </span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Και όντας ξένοι σ’ αυτήν την πόλη, </span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">είμαστε το σημείο αναφοράς τουλάχιστον για τα Μαθηματικά.</span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Είτε αρέσει σε μερικούς είτε όχι.</span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Επίσης , Το επίπεδο της Μαθηματικής Εκπαίδευσης, έχει ανέβει στην πόλη μας
και αλίμονο, δεν οφείλεται μόνο σε μας. </span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Όμως το ότι, έχει ανέβει, αυτό οφείλεται μόνο σε μας και σε εκείνον </span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Τον φοβερό τύπο που ακούει στο όνομα Κώστας Χουσιώνης </span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">_ που ευτυχώς για αυτόν μάλλον κάτι κατάλαβε και πρόλαβε και έφυγε νωρίς_ </span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Αφήνοντας μας εδώ για 32 πλέον χρόνια να μπολιάζουμε τους Νέους αυτής της
πόλης </span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Με εκείνα τα Ιδανικά που οδηγούν τη Ζωή στην Ομορφιά, στη Χαρά και στη
ακατάπαυστη δημιουργία…</span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Επιμένουμε να ισορροπούμε ανάμεσα στην ολιστική και αυστηρή Μαθηματική
εξειδίκευση από τη μια και στην Απόλυτη επιτυχία των εξετάσεων από την άλλη. </span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Και ενώ εκείνο το 1991, το 1997 αλλά και το 2008, φαντάζει πια τόσο μακρινό
</span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">με χαρά και περηφάνια διαπιστώνω ότι </span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">"Είμαστε ακόμα εδώ!"</span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Μα κι αλλιώς, ξέρετε ότι δεν γινόταν. </span><span style="font-family: "Times New Roman",serif; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"></span></p><div style="margin-left: 80px; text-align: left;">
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</div><p class="MsoNormal" style="line-height: normal; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">αν δεν κουβαλάς μέσα σου Πείσμα, Επιμονή και Πόνο
αβάσταχτο </span><span style="font-family: "Times New Roman",serif; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"></span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Δεν γίνεται να καθοδηγήσεις, αν δεν κάνεις
λάθη </span><span style="font-family: "Times New Roman",serif; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"></span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">αν δεν αποκαλυφθείς μπροστά στα μάτια τους, με όλες
σου τις ατέλειες και τις αδυναμίες </span><span style="font-family: "Times New Roman",serif; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"></span></p><div style="margin-left: 80px; text-align: left;">
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<br style="mso-special-character: line-break;" />
</span><span style="font-family: "Times New Roman",serif; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"></span></p><div style="margin-left: 80px; text-align: left;">
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Έρωτα </span><span style="font-family: "Times New Roman",serif; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"></span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">παρόλη την περιρρέουσα μιζέρια….</span><span style="font-family: "Times New Roman",serif; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"></span></p><div style="margin-left: 80px; text-align: left;">
</div><p class="MsoNormal" style="line-height: normal; margin-left: 80px; text-align: left;"><span style="font-family: "Helvetica",sans-serif; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Σας Ευχαριστώ όλους </span><span style="font-family: "Times New Roman",serif; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"></span></p>
<br /></div><div class="separator" style="clear: both; text-align: center;"> </div><br /><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="266" src="https://www.youtube.com/embed/bgkBFxXn6OA" width="320" youtube-src-id="bgkBFxXn6OA"></iframe></div><br />Βασίληςhttp://www.blogger.com/profile/08192330940730446249noreply@blogger.com0tag:blogger.com,1999:blog-4980200313074426892.post-34977333375745338552022-06-06T16:24:00.003+03:002022-06-06T19:15:50.740+03:00Μαθηματικά Προσανατολισμού Γ Λυκείου 2022 Εκφωνήσεις Απαντήσεις<p> <!--[if gte mso 9]><xml>
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</style>
<![endif]-->
</p><p class="MsoNormal"><span face=""Helvetica",sans-serif"> </span></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhHsdhMO29-l8OBF8I8m77XvDsu6nJ4H1PlHGA80u2UZjyjTuyUIUJKJ7peS2MAcF1YMobwhUDeJWEvySd5cuQBAMp5OvSIMapGHgRS6glLod7hnDQ9UaR5d_vUE6kurar-H8wQqoSur3iWa9U1v5ShRcaX2v4kItSBrv3Qx6ASbi1L45NpPofueETyhw/s2339/them_math_gel_220606_Page_1.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="2339" data-original-width="1654" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhHsdhMO29-l8OBF8I8m77XvDsu6nJ4H1PlHGA80u2UZjyjTuyUIUJKJ7peS2MAcF1YMobwhUDeJWEvySd5cuQBAMp5OvSIMapGHgRS6glLod7hnDQ9UaR5d_vUE6kurar-H8wQqoSur3iWa9U1v5ShRcaX2v4kItSBrv3Qx6ASbi1L45NpPofueETyhw/w283-h400/them_math_gel_220606_Page_1.jpg" width="283" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgOgveFSgblV2F-z_8GAuYKyABQy--MtwThRGdACfe1DT-sq0CE655LXen3EMOGnwvJGVECVjGr897CYF9YtiIt2uAr1t7Ktph1H4Kzy00kKzrUGfHwp6tiCj7D9OamGtIZKCPpHFyKwXyomnl2b17VraceCR7Qoy9GU92TA-0dO_ip-3IBtRKtNDCbBA/s2339/them_math_gel_220606_Page_2.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="2339" data-original-width="1654" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgOgveFSgblV2F-z_8GAuYKyABQy--MtwThRGdACfe1DT-sq0CE655LXen3EMOGnwvJGVECVjGr897CYF9YtiIt2uAr1t7Ktph1H4Kzy00kKzrUGfHwp6tiCj7D9OamGtIZKCPpHFyKwXyomnl2b17VraceCR7Qoy9GU92TA-0dO_ip-3IBtRKtNDCbBA/w283-h400/them_math_gel_220606_Page_2.jpg" width="283" /></a></div><br /><p></p><p class="MsoNormal"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhYj8ratDbI5mRQNU7vfpLlxssEUqvYBCjI0kd9obaNk9Tjjdu8E6kEM-3qaPpBdUeQVCfLMj5Fg_06xqGLAgyo-mt29jZJQDz0BDkhUO9wEwTVR206C94Q2rNjcSSTciG6Q1KKaPtEzZDOE1xSnu82ezq34Dkv2AFMwf_qOOaAmPRGakNXDpRR_h-2jw/s2339/them_math_gel_220606_Page_3.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="2339" data-original-width="1654" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhYj8ratDbI5mRQNU7vfpLlxssEUqvYBCjI0kd9obaNk9Tjjdu8E6kEM-3qaPpBdUeQVCfLMj5Fg_06xqGLAgyo-mt29jZJQDz0BDkhUO9wEwTVR206C94Q2rNjcSSTciG6Q1KKaPtEzZDOE1xSnu82ezq34Dkv2AFMwf_qOOaAmPRGakNXDpRR_h-2jw/w283-h400/them_math_gel_220606_Page_3.jpg" width="283" /></a></div><span face=""Helvetica",sans-serif"></span><p></p><p class="MsoNormal" style="text-align: center;"><img border="0" data-original-height="2339" data-original-width="1654" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhM1tO2EGSgSd2mg7mxtBb9qEZlq1tPO1MsmiN1zcHm7eTNgYYQlrQRddJfKz5GdPdPT2CTfrS5vOUgGPfbwS09c7xFWyKzPWQWX3zzeH_kqVrAlLhqebZFfApPTy8UUdvWv-MolRzmJCPzvm_2EPb2Ihufy4y3cMLhHxW8inkgwBCyQKEZE7wrENs_xw/w283-h400/them_math_gel_220606_Page_4.jpg" width="283" /><span face=""Helvetica",sans-serif"> </span></p><p class="MsoNormal" style="text-align: left;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Οι
ενδεικτικές Λύσεις εδώ </span><span class="d2edcug0"><a href="https://l.facebook.com/l.php?u=https%3A%2F%2Fphotos.app.goo.gl%2FbjyVheew9EQPQvu28%3Ffbclid%3DIwAR0jbh83xX_f53MiG3jxcuenwMH-vVnEk_9VrRhW2Fy2NJJW2S0j5zjUnmw&h=AT16DW-7cDkUXkHjlkXulF_SPNdsSpNgJ17DMVd0f7TdHJiECeRYei7XooGtveUBCA_WXPc-TKUcwt13X5e4yKgdFRaXVEcyXVPknqz3JrkmMAzesGAtQuyJfCbt9frM0hGeU82QwBa-_gnxBB42&__tn__=-UK-R&c%5b0%5d=AT0A4HKvwhYrmoXdsEZjYSsvVceS1ScoOonVH_-boBKBIjFMpegPFH7UQLOBc1O3Nm4CCoCoMPyIC6hZFB7k_VG15aUhmzHk5-3WNUjTZQN4CKKP6fpB-LzQ6ZJhUeQtaetZA29vALNaIKTdq-pjk4skiwMf9Nv1STSbuEeqB98C4TeBCzW0Xev0J_non7_1E38CAQ" target="_blank">https://photos.app.goo.gl/bjyVheew9EQPQvu28</a></span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">το σχόλιο για τα θέματα της Ελληνικής Μαθηματικής Εταιρείας </span></span></p><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif"><a href="http://www.hms.gr/?q=node/1875" target="_blank">το σχόλιο της Ε.Μ.Ε.</a></span></span></p><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif"><br /></span></span></p><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Ένα πρώτο
σχόλιο</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Έξυπνα
θέματα που κάλυπταν όλη την ύλη </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Ο χρόνος
επαρκούσε για την επεξεργασία τους</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Με ερωτήματα
που έκαναν την διαφορά και ήταν γεννήτριες λαθών</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Με δύο
ερωτήματα «ξυράφι» για να ξεχωρίσουν οι Άριστοι!!!</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Το άριστα
μόνο για πολύ καλά και σωστά προετοιμασμένους μαθητές </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Σχεδόν ίδιας
δυσκολίας με το 2019 ίσως και λίγο πιο δύσκολα</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Καμία σχέση
με τα θέματα των δύο τελευταίων ετών </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"> </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Και μια η συζήτηση έχει ανάψει, για
το αν τα θέματα, άπτονται του σχολικού βιβλίου ή άλλων βιβλίων, γραμμένων και
συραμμένων στο πόδι, πάνω και σαν το σχολικό βιβλίο, </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" lang="EN-US" style="font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">N</span><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">α αναφέρουμε
και Μερικά βασικά:</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Οι μαθητές δεν μαθαίνουν μαθηματικά
κατά τεκμήριο στο σχολείο, (πλέον).</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Εκεί, έχει καταντήσει να πηγαίνουν,
μόνο και μόνο, για να τους ελέγχουν, οι συνάδελφοι που εργάζονται στο Δημόσιο
σχολείο, αν τους τα μαθαίνουν καλά οι φροντιστές, δηλαδή εμείς.</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"><br style="mso-special-character: line-break;" />
<br style="mso-special-character: line-break;" />
</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Το σχολικό βιβλίο δεν υπάρχει λόγος
να αποθεώνεται… </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Είναι ένα μέτριο βιβλίο, με πάρα
πολλές παραλήψεις , με πάρα πολλές αντιγραφές ασκήσεων μόνο (δυστυχώς) από το
βιβλίο του M.Spivak και με αρκετά θεωρητικά λάθη που αναγκάζουν χρόνια τώρα,
τους υπεύθυνους του Π.Ι. να βγάζουν εκτός ύλης, ολόκληρες παραγράφους, αντί να
μπουν στον κόπο και να διορθώσουν αυτά τα λάθη. </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Δηλαδή πρόκειται για ένα ξεπερασμένο
βιβλίο. </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"><br style="mso-special-character: line-break;" />
<br style="mso-special-character: line-break;" />
</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Πολύ καλά έκανε η επιτροπή και δεν
έβαλε άσκηση μέσα από το σχολικό βιβλίο γιατί μπορεί μερικοί να την είχαν μάθει
ακόμα και παπαγαλία…. </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Δεν αναφέρομαι μόνο σε μαθητές (
πρόσφατα, στο σχετικό θέμα εγγραφής ισοσκελούς τριγώνου σε κύκλο, που είχε
δοθεί στις εξετάσεις (του παλαιού συστήματος το 20) μερικοί πολύ «προχωρημένοι»
κατά τα άλλα, συγγραφείς αντιγραφείς, είχαν ξεστομίσει ότι είναι λάθος η άσκηση
του σχολικού βιβλίου ( που λέει σωστά ότι το θ ανήκει στο (0,π)) και έπρεπε να
πέσει στις εξετάσεις τάχα, για να το αντιληφθούν (το λάθος)... , δεν τους
πέρασε καν η ιδέα ότι : μάλλον λύνουν λάθος την άσκηση όταν παίρνουν μόνο θ να
ανήκει στο (0,π/2))</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"><br style="mso-special-character: line-break;" />
<br style="mso-special-character: line-break;" />
</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Οι υποψήφιοι που έγραψαν Άριστα
σήμερα, έχουν μελετήσει άλλου είδους βιβλία Μαθηματικών, που ΔΕΝ ΕΙΝΑΙ ΓΡΑΜΜΕΝΑ
πάνω στο σχολικό βιβλίο. </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Που δεν έχουν ακατάσχετες
μεθοδολογίες… </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"><br style="mso-special-character: line-break;" />
<br style="mso-special-character: line-break;" />
</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Και έχουν ακολουθήσει ένα πρόγραμμα
προετοιμασίας και στις τρεις τάξεις του Λυκείου που δεν χωράει </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">• ούτε στα φτωχά 4 ώρα μικρών ή
μεγάλων αλυσίδων, </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">• ούτε στα αναξιοπρεπή τετράωρα
«αρουραίων» και παρατρεχάμενων, που δηλώνουν «μαθηματικοί», που διδάσκουν
«φυσικομαθηματικά» και αρχίζουν την ύλη της Γ Λυκείου στην Α Λυκείου και η
θεματολογία των δύο τελευταίων ετών τους επέτρεψαν να ψαρεύουν σε θολά νερά….</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Λυπάμαι αυτή είναι η σκληρή αλήθεια,
ξέρω ότι μερικούς θα τους στεναχωρήσω, αλλά αυτή είναι η πραγματικότητα και
πρέπει </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Ειδικά σήμερα, μερικοί να
απολογηθούν γιατί; </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Γιατί σήμερα, έξυπνοι μαθητές, με
τις συνταγές που τους σερβίρουν, δεν τα κατάφεραν να γράψουν καλά και θεωρούν
πλέον τον εαυτό τους αποτυχημένο….</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"><br style="mso-special-character: line-break;" />
<br style="mso-special-character: line-break;" />
</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Είναι μεγάλες οι ευθύνες όσων
«πουλούν», με οποιαδήποτε ετικέτα και ανοχή, φύκια για μεταξωτές κορδέλες…. Και
μάλιστα θεωρούν τον εαυτό τους σημείο αναφοράς στα εκπαιδευτικά δρώμενα και στα
Μαθηματικά Συγγράμματα !!!! Έλεος ….</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"><br style="mso-special-character: line-break;" />
<br style="mso-special-character: line-break;" />
</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Όσο για την τηλεκπαίδευση</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Ανάμεσα στους παρακάτω γενναίους
μου, η Τζένη μαθήτρια του προσανατολισμού Οικονομίας και Πληροφορικής!!!
ερχόταν μια φορά την εβδομάδα από την Πάργα και όλες τις υπόλοιπες μέρες
παρακολουθούσε μέσω zoom έγραψε 96 με ένα λάθος στο ε) του Σ=Λ !!!!</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Πάψτε να γκρινιάζετε λοιπόν και
δώστε στους Μαθητές σας, αυτό που αξίζουν </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Γνώση και όχι Αποστήθιση </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Θεωρία και όχι Ασκησιολογία </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Τρόπους να σκέφτονται και όχι
ετοιματζήδικες λύσεις </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif"> </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Όσο για τους
γενναίους μου τι να πώ;;;; </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif"> </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Δ. Τ. 100</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Τ.Β. 96</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Μ.Δ.95</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Λ.Γ.94</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Π.Ν. 92</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Η.Κ. 90</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Γ.Τ.75</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Φ.Τ. 74 </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Για μια ακόμα
χρονιά στην Κορυφή!!!!<span style="mso-spacerun: yes;"> </span></span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">6 στους 12
πάνω από 90!!!</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">(για να
δούμε τώρα τους ειδικούς «φίλους» στους μέσους όρους τι καλά θα μας πούνε πάλι)</span></span></p><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif"> </span></span></p><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Πάμε Ξανά !!!! <br /></span></span></p><p class="MsoNormal"><span face=""Helvetica",sans-serif"> </span></p><p class="MsoNormal"><span face=""Helvetica",sans-serif"></span></p><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="266" src="https://www.youtube.com/embed/TlBS9vt37HY" width="320" youtube-src-id="TlBS9vt37HY"></iframe></div><p><br /> </p><p><span style="font-family: helvetica;"> Αμνησία .... από τις Τρύπες στον Roni IRON</span><br /></p><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="266" src="https://www.youtube.com/embed/HvXgf72gAhg" width="320" youtube-src-id="HvXgf72gAhg"></iframe></div><br /><p></p>
Βασίληςhttp://www.blogger.com/profile/08192330940730446249noreply@blogger.com0tag:blogger.com,1999:blog-4980200313074426892.post-72757947584822449752022-04-12T13:22:00.007+03:002022-04-12T13:35:18.865+03:0035ο Γενικό Διαγώνισμα στα Μαθηματικά της Γ Λυκείου. Εκφωνήσεις- Απαντήσεις<p> <br /><br /><br /><br /></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgWeU5eFRMWX5vu7yuvw9373GaWQ1TkDunGpgvjAY6Z-MC14-EG9FKfRC40xzFkyarkfkTLuGj-BanORng6wAZ3fkX4U5mjPAHNFDC7Zp0-E2ZplksLfEKO9mfFP74Ti0xQUUz7UGS4xwyqZk6KPNiOw7_3SkSEr9G0dz3bxyD0xwM90VsBYe61cAb6BQ/s1766/35%CE%BF%20++(2022)%20%CE%91%CE%A0%CE%A1%CE%99%CE%9B%CE%97%CE%A3%20%CE%B5%CE%BA%CF%86%CF%89%CE%BD%CE%AE%CF%83%CE%B5%CE%B9%CF%82%20%CE%B4%CE%B7%CE%BC%CE%BF%CF%83%CE%AF%CE%B5%CF%85%CF%83%CE%B7_Page_1.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1766" data-original-width="1241" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgWeU5eFRMWX5vu7yuvw9373GaWQ1TkDunGpgvjAY6Z-MC14-EG9FKfRC40xzFkyarkfkTLuGj-BanORng6wAZ3fkX4U5mjPAHNFDC7Zp0-E2ZplksLfEKO9mfFP74Ti0xQUUz7UGS4xwyqZk6KPNiOw7_3SkSEr9G0dz3bxyD0xwM90VsBYe61cAb6BQ/w281-h400/35%CE%BF%20++(2022)%20%CE%91%CE%A0%CE%A1%CE%99%CE%9B%CE%97%CE%A3%20%CE%B5%CE%BA%CF%86%CF%89%CE%BD%CE%AE%CF%83%CE%B5%CE%B9%CF%82%20%CE%B4%CE%B7%CE%BC%CE%BF%CF%83%CE%AF%CE%B5%CF%85%CF%83%CE%B7_Page_1.jpg" width="281" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEivzyBJkx-rN4Pe5WzfiBi-eiYqKE2_kH70UfzROvHHv2JDwuUzxhRjYAdFG0SQBkdeJ_WpeBuxOQh67Nkb-NSJq7jjYGrwYouj37tRZ1jHQYzcp8Z4FUqgP13Jjn2qDQOS5WCu2gcLkyWCpkHnSgxiWVTAsp8O-cyyf7knK5moG4RQAhk2AtY_HwYIjA/s1766/35%CE%BF%20++(2022)%20%CE%91%CE%A0%CE%A1%CE%99%CE%9B%CE%97%CE%A3%20%CE%B5%CE%BA%CF%86%CF%89%CE%BD%CE%AE%CF%83%CE%B5%CE%B9%CF%82%20%CE%B4%CE%B7%CE%BC%CE%BF%CF%83%CE%AF%CE%B5%CF%85%CF%83%CE%B7_Page_2.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1766" data-original-width="1241" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEivzyBJkx-rN4Pe5WzfiBi-eiYqKE2_kH70UfzROvHHv2JDwuUzxhRjYAdFG0SQBkdeJ_WpeBuxOQh67Nkb-NSJq7jjYGrwYouj37tRZ1jHQYzcp8Z4FUqgP13Jjn2qDQOS5WCu2gcLkyWCpkHnSgxiWVTAsp8O-cyyf7knK5moG4RQAhk2AtY_HwYIjA/w281-h400/35%CE%BF%20++(2022)%20%CE%91%CE%A0%CE%A1%CE%99%CE%9B%CE%97%CE%A3%20%CE%B5%CE%BA%CF%86%CF%89%CE%BD%CE%AE%CF%83%CE%B5%CE%B9%CF%82%20%CE%B4%CE%B7%CE%BC%CE%BF%CF%83%CE%AF%CE%B5%CF%85%CF%83%CE%B7_Page_2.jpg" width="281" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhcgyqdi5-dUDqQ66Xf7mBnckbXH5R_CZgj8I2h7-PWEXw1CwCDBBQhTi4gujWwjSqoID58oOFItlLKkPUX7GJqqPacAaEiClxE0DpPPRLE0gctYPmuGRDmtoUQZHd-hS6Ou9dMoWaWcRqZETph6Q7ZRjIAqABej0fZlC670VBgsmPmla_xRVuCmMdvg/s1766/35%CE%BF%20++(2022)%20%CE%91%CE%A0%CE%A1%CE%99%CE%9B%CE%97%CE%A3%20%CE%B5%CE%BA%CF%86%CF%89%CE%BD%CE%AE%CF%83%CE%B5%CE%B9%CF%82%20%CE%B4%CE%B7%CE%BC%CE%BF%CF%83%CE%AF%CE%B5%CF%85%CF%83%CE%B7_Page_3.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1766" data-original-width="1241" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhcgyqdi5-dUDqQ66Xf7mBnckbXH5R_CZgj8I2h7-PWEXw1CwCDBBQhTi4gujWwjSqoID58oOFItlLKkPUX7GJqqPacAaEiClxE0DpPPRLE0gctYPmuGRDmtoUQZHd-hS6Ou9dMoWaWcRqZETph6Q7ZRjIAqABej0fZlC670VBgsmPmla_xRVuCmMdvg/w281-h400/35%CE%BF%20++(2022)%20%CE%91%CE%A0%CE%A1%CE%99%CE%9B%CE%97%CE%A3%20%CE%B5%CE%BA%CF%86%CF%89%CE%BD%CE%AE%CF%83%CE%B5%CE%B9%CF%82%20%CE%B4%CE%B7%CE%BC%CE%BF%CF%83%CE%AF%CE%B5%CF%85%CF%83%CE%B7_Page_3.jpg" width="281" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj1jAY-NGCxpXqIk_ZZsjU5XEuYUp_fIeIN29prQsia0Vu2OXl1jhoDc1SvogCzseL_CpItWo1r2F-fptyetoUWBfHsGMcX64M_RW252YgDSbFcpeiN85UzPk4x-6HdxIkCRAgaTLBhzlq1jlBVQ-KRM5M3U7_G9nYnfA1t8OoabUw1vxpUdUMFiRTEgw/s1766/35%CE%BF%20++(2022)%20%CE%91%CE%A0%CE%A1%CE%99%CE%9B%CE%97%CE%A3%20%CE%B5%CE%BA%CF%86%CF%89%CE%BD%CE%AE%CF%83%CE%B5%CE%B9%CF%82%20%CE%B4%CE%B7%CE%BC%CE%BF%CF%83%CE%AF%CE%B5%CF%85%CF%83%CE%B7_Page_4.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1766" data-original-width="1241" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj1jAY-NGCxpXqIk_ZZsjU5XEuYUp_fIeIN29prQsia0Vu2OXl1jhoDc1SvogCzseL_CpItWo1r2F-fptyetoUWBfHsGMcX64M_RW252YgDSbFcpeiN85UzPk4x-6HdxIkCRAgaTLBhzlq1jlBVQ-KRM5M3U7_G9nYnfA1t8OoabUw1vxpUdUMFiRTEgw/w281-h400/35%CE%BF%20++(2022)%20%CE%91%CE%A0%CE%A1%CE%99%CE%9B%CE%97%CE%A3%20%CE%B5%CE%BA%CF%86%CF%89%CE%BD%CE%AE%CF%83%CE%B5%CE%B9%CF%82%20%CE%B4%CE%B7%CE%BC%CE%BF%CF%83%CE%AF%CE%B5%CF%85%CF%83%CE%B7_Page_4.jpg" width="281" /></a></div><p></p><p align="center" class="MsoNormal" style="text-align: center;"><b><i><span style="color: #cc0000; font-family: Helvetica;">Μαύρη αγριόπαπια σε
παρανοϊκό σχηματισμό Ι</span></i></b></p>
<p class="MsoNormal"><i><span style="color: #cc0000; font-family: Helvetica;"> </span></i></p>
<p class="MsoNormal"><i><span style="color: #cc0000; font-family: Helvetica;">Σκοτώνει
λέξεις, </span></i></p><p class="MsoNormal"><i><span style="color: #cc0000; font-family: Helvetica;">Κρύβεται στα ψηλά τακούνια </span></i></p>
<p class="MsoNormal"><i><span style="color: #cc0000; font-family: Helvetica;">Μεθά
την απουσία, </span></i></p><p class="MsoNormal"><i><span style="color: #cc0000; font-family: Helvetica;">Γεύεται στάγδην τη δικαίωση </span></i></p>
<p class="MsoNormal"><i><span style="color: #cc0000; font-family: Helvetica;">Γοργόνα;
Μάγισσα; Παρανοϊκή; </span></i></p>
<p class="MsoNormal"><i><span style="color: #cc0000; font-family: Helvetica;">το
σφυρί αγαπά, τα λέπια της άρνησης ντύνεται,<span>
</span></span></i></p>
<p class="MsoNormal"><i><span style="color: #cc0000; font-family: Helvetica;">τα
ακάλεστα αντίποινα των σφουγγαριών<span> </span>αποδέχεται
,<span> </span></span></i></p>
<p class="MsoNormal"><i><span style="color: #cc0000; font-family: Helvetica;">στις
παράλληλες ράγες των τραίνων ματώνεται </span></i></p><p class="MsoNormal"><i><span style="color: #cc0000; font-family: Helvetica;">(αυτών που δεν θα συναντηθούν<span> </span>ποτέ,<span>
</span> </span></i></p><p class="MsoNormal"><i><span style="color: #cc0000; font-family: Helvetica;">παρ' όλη τη μαεστρία του κλειδούχου<span>
</span>και την καλοτυχία του ανεμοδείκτη) </span></i></p>
<p class="MsoNormal"><i><span style="color: #cc0000; font-family: Helvetica;">την
καταδίκη των ανυπόστατων εδωλίων,<span> </span> </span></i></p><p class="MsoNormal"><i><span style="color: #cc0000; font-family: Helvetica;">ως
αυταπόδεικτη αλήθεια Αντιλαμβάνεται, </span></i></p>
<p class="MsoNormal"><i><span style="color: #cc0000; font-family: Helvetica;">ως
κανονική ζωή, τη χολή<span> </span>μεταλαμβάνει </span></i></p>
<p class="MsoNormal"><i><span style="color: #cc0000; font-family: Helvetica;"> </span></i></p><p class="MsoNormal"><i><span style="color: #cc0000; font-family: Helvetica;">Αρνείται,
Θυμώνει,<span> </span>Ενδίδει, στέκει
εμβρόντητη!<span> </span></span></i></p>
<p class="MsoNormal"><i><span style="color: #cc0000; font-family: Helvetica;">Στο
σμήνος των άγραφων κειμένων- γραμμένων </span></i></p>
<p class="MsoNormal"><i><span style="color: #cc0000; font-family: Helvetica;">Στη
καταιγίδα των ακάλεστων τετελεσμένων, </span></i></p>
<p class="MsoNormal"><i><span style="color: #cc0000; font-family: Helvetica;">Στην
Αλήθεια των απροσδόκητων (επιβεβλημένων) σιωπών,<span> </span></span></i></p>
<p class="MsoNormal"><i><span style="color: #cc0000; font-family: Helvetica;">Γοργόνα
φορά, Μάγισσα μεταμορφώνεται, </span></i></p>
<p class="MsoNormal"><i><span style="color: #cc0000; font-family: Helvetica;">Νύχτα
ντύνεται, λάγνα. Μαγεύει και πονά.</span></i></p>
<p class="MsoNormal"><i><span style="color: #cc0000; font-family: Helvetica;">Κεντρίζει,
Γήινα όνειρα κεντά </span></i></p>
<p class="MsoNormal"><i><span style="color: #cc0000; font-family: Helvetica;">Και
ρίχνει, ράγδην, ζάρια πειραγμένα και παράγωνα… </span></i></p>
<p class="MsoNormal"><span style="font-family: helvetica;"><span style="font-size: small;"><i><span style="color: #cc0000;">Χάνει ξανά… Επιμένει ….Εκμηδενίζεται</span></i></span></span></p><p></p><p><br /></p><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="266" src="https://www.youtube.com/embed/SUzQjsXD0A0" width="320" youtube-src-id="SUzQjsXD0A0"></iframe></div><p></p><br /><br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg-mFsXmtwz3MU2_4Wnaw3Fy3ZYZB2tOlGlvgOgwTX12PyuLdDXsW5r23ZzTHl7Q7UnreousLEWUSMNcKVoBMjunpLfTkt2NzRpXvE-n0Ev-1M7saJed8o3bXYwKpqbupfQKfgR0gLMCbfoOOxPMc352IkPDabZLzTzwhd5ivqOkPOQ1aabrkEa3I3Mrg/s1766/35%CE%BF%20++(2022)%20%CE%91%CE%A0%CE%A1%CE%99%CE%9B%CE%97%CE%A3%20%CE%B5%CE%BA%CF%86%CF%89%CE%BD%CE%AE%CF%83%CE%B5%CE%B9%CF%82%20%CE%B1%CF%80%CE%B1%CE%BD%CF%84%CE%AE%CF%83%CE%B5%CE%B9%CF%82%20A_Page_1.jpg" imageanchor="1" style="margin-left: 1em; 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text-align: center;"><span style="font-family: helvetica;"><span class="d2edcug0 hpfvmrgz qv66sw1b c1et5uql lr9zc1uh a8c37x1j fe6kdd0r mau55g9w c8b282yb keod5gw0 nxhoafnm aigsh9s9 d3f4x2em iv3no6db jq4qci2q a3bd9o3v b1v8xokw oo9gr5id" dir="auto" lang="el-GR">Μια πιο γρήγορη λύση για το Δ3 από τον Δημήτρη Τζοβάρα, μαθητή της Γ Λυκείου</span></span></div><div class="separator" style="clear: both; text-align: center;"><span style="font-family: helvetica;"><span class="d2edcug0 hpfvmrgz qv66sw1b c1et5uql lr9zc1uh a8c37x1j fe6kdd0r mau55g9w c8b282yb keod5gw0 nxhoafnm aigsh9s9 d3f4x2em iv3no6db jq4qci2q a3bd9o3v b1v8xokw oo9gr5id" dir="auto" lang="el-GR"> </span></span></div><div class="separator" style="clear: both; text-align: center;"><span style="font-family: helvetica;"><span class="d2edcug0 hpfvmrgz qv66sw1b c1et5uql lr9zc1uh a8c37x1j fe6kdd0r mau55g9w c8b282yb keod5gw0 nxhoafnm aigsh9s9 d3f4x2em iv3no6db jq4qci2q a3bd9o3v b1v8xokw oo9gr5id" dir="auto" lang="el-GR"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEg-idh4VWk7ow_p9WPb2qHp1US1cSpli4HRTRLPaIpFxJYb0r5WS-6q3Fo9OjJZ7i1YwB6oIItenn3tFA2_fS-Larx_D_kCFBTfKOlIdA6n6EWjI-ztKvohgyZV5HK8gU4brqVryBQcNxia4YAFgkcq6dhu2ULeZkhd43GMXCDtJTFz4FsHHKYwRmOTiQ=s1766" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1766" data-original-width="1241" height="400" src="https://blogger.googleusercontent.com/img/a/AVvXsEg-idh4VWk7ow_p9WPb2qHp1US1cSpli4HRTRLPaIpFxJYb0r5WS-6q3Fo9OjJZ7i1YwB6oIItenn3tFA2_fS-Larx_D_kCFBTfKOlIdA6n6EWjI-ztKvohgyZV5HK8gU4brqVryBQcNxia4YAFgkcq6dhu2ULeZkhd43GMXCDtJTFz4FsHHKYwRmOTiQ=w281-h400" width="281" /></a></div><br /> </span></span> <br /></div><p></p><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="266" src="https://www.youtube.com/embed/UWdY7ErepGM" width="320" youtube-src-id="UWdY7ErepGM"></iframe></div><br /><p><br /></p>Βασίληςhttp://www.blogger.com/profile/08192330940730446249noreply@blogger.com0tag:blogger.com,1999:blog-4980200313074426892.post-81266557458671724072021-12-21T12:59:00.006+02:002021-12-21T12:59:25.897+02:0019o Γενικό Διαγώνισμα στα Μαθηματικά (Εκφωνήσεις- Απαντήσεις) <span style="font-family: helvetica;">Σχόλιο.
Από τις μαρτυρίες Μαθητών, που έγραψαν κατά καιρούς άριστα στις εξετάσεις (98-100) το γραπτό δοκίμιο που παρέδωσαν για διόρθωση κυμαίνεται από 19 έως 25 σελίδες ανάλογα με τον μαθητή και τα θέματα και επιβεβαιωμένο ότι σχεδόν όλοι χρειάστηκαν και τις 3 ώρες για να επιτύχουν τόσο υψηλή βαθμολογία( εκτός ελαχίστων εξαιρέσεων που έτσι κι αλλιώς όμως βρίσκονται από όλες τις απόψεις, στην ουρά της κανονικής κατανομής) . Έτσι θεωρώντας ότι ένα άριστο γραπτό θα έχει κατά μέσο όρο έκταση 22 σελίδων και θα απαιτηθεί χρόνος 3 ωρών, για το παραπάνω θέμα Γ, με αναλυτική παρουσίαση 5 σελίδων, θα απαιτηθεί χρόνος 41 περίπου λεπτών για πλήρη ανάπτυξη του. Κάτι που είναι συμβατό με τον τρόπο εξέτασης των τελευταίων ετών και λογικό αφού έτσι απομένει χρόνος περίπου μιας ώρας ή και λίγο περισσότερο για το συνήθως πιο απαιτητικό θέμα Δ και περίπου μία ώρα για το Α και Β Θέμα,.
Συνηθίζεται οι Μαθηματικοί, να είμαστε ακριβείς με ότι ισχυριζόμαστε και να μπορούμε ανά πάσα στιγμή, να αποδεικνύουμε τους εκάστοτε ισχυρισμούς μας.
Στο εξής όλες οι ενδεικτικές λύσεις που θα παρουσιάζω, με την παραπάνω μέθοδο προσέγγισης, θα περιέχουν και τον ενδεικτικό χρόνο που απαιτείται . Σας Ευχαριστώ όλους για την ανατροφοδότηση.
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Note Heading"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Block Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Hyperlink"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="FollowedHyperlink"/>
<w:LsdException Locked="false" Priority="22" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Document Map"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Plain Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="E-mail Signature"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Top of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Bottom of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal (Web)"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Acronym"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Address"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Cite"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Code"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Definition"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Keyboard"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Preformatted"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Sample"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Typewriter"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Variable"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal Table"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="annotation subject"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="No List"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Contemporary"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Elegant"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Professional"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Balloon Text"/>
<w:LsdException Locked="false" Priority="39" Name="Table Grid"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Theme"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Placeholder Text"/>
<w:LsdException Locked="false" Priority="1" QFormat="true" Name="No Spacing"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading"/>
<w:LsdException Locked="false" Priority="61" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 1"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" QFormat="true"
Name="List Paragraph"/>
<w:LsdException Locked="false" Priority="29" QFormat="true" Name="Quote"/>
<w:LsdException Locked="false" Priority="30" QFormat="true"
Name="Intense Quote"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 1"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 1"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 1"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 1"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 1"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 1"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 1"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 2"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 2"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 2"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 2"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 2"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 2"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 2"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 2"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 2"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 2"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 3"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 3"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 3"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 3"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 3"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 3"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 3"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 3"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 3"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 3"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 3"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 3"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 3"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 4"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 4"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 4"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 4"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 4"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 4"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 4"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 4"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 4"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 4"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 4"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 4"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 4"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 4"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 5"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 5"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 5"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 5"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 5"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 5"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 5"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 5"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 5"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 5"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 5"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 5"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" QFormat="true"
Name="Subtle Emphasis"/>
<w:LsdException Locked="false" Priority="21" QFormat="true"
Name="Intense Emphasis"/>
<w:LsdException Locked="false" Priority="31" QFormat="true"
Name="Subtle Reference"/>
<w:LsdException Locked="false" Priority="32" QFormat="true"
Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" SemiHidden="true"
UnhideWhenUsed="true" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/>
<w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
<w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
<w:LsdException Locked="false" Priority="43" Name="Plain Table 3"/>
<w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/>
<w:LsdException Locked="false" Priority="45" Name="Plain Table 5"/>
<w:LsdException Locked="false" Priority="40" Name="Grid Table Light"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 4"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 5"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 5"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 5"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 5"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 5"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 6"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 6"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 6"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 6"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 6"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="46" Name="List Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="List Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="List Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 4"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 5"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 5"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 5"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 5"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 5"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 6"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 6"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 6"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 6"/>
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<style>
/* Style Definitions */
table.MsoNormalTable
{mso-style-name:"Κανονικός πίνακας";
mso-tstyle-rowband-size:0;
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</p><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">54<sup>η</sup> Στάση </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Αποχαιρετώ την Ομάδα για
φέτος.</span></span></p><span style="font-family: helvetica;"><br /></span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Το 54<sup>ο</sup> Ήθελα να το
μοιραστώ μαζί σας μόνο και μόνο για το Θέμα Β:</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Περιέχει τρεις ασκήσεις του
Βιβλίου και έχει απλές αναφορές στις προηγούμενες τάξεις.</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;"> </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Ένα μεγάλο ευχαριστώ <span style="mso-spacerun: yes;"> </span>σε όλους τους Συναδέλφους </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">για την Ανατροφοδότηση την <span style="mso-spacerun: yes;"> </span>Αμοιβαία έμπνευση και την Αναζήτηση</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;"> </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Ένα μεγάλο Ευχαριστώ και
στους Μαθητές που παλεύουν να κατακτήσουν τη Γνώση </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">και προσπαθούν να μάθουν
Μαθηματικά, <span style="mso-spacerun: yes;"> </span>να προσεγγίσουν αυτήν την
σπουδαία Επιστήμη μέσα στη φωτιά των εξετάσεων και να απογειωθούν μαζί της. </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Στα παιδιά που ονειρεύονται
και δεν το βάζουν κάτω ποτέ…</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Στα παιδιά που ετοιμάζονται
για την πρώτη τους αλλά όχι τελευταία μάχη…</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;"> </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Το σύνθημα για όλους μας
είναι ένα: </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" lang="EN-US" style="mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Non</span><span face=""Helvetica",sans-serif" lang="EN-US" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;"> </span><span face=""Helvetica",sans-serif" lang="EN-US" style="mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Mollare</span><span face=""Helvetica",sans-serif" lang="EN-US" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;"> </span><span face=""Helvetica",sans-serif" lang="EN-US" style="mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Mai</span><span face=""Helvetica",sans-serif" lang="EN-US" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;"> </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Που σημαίνει δεν τα παρατάω
ποτέ!!!!</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;"> </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Καλή Δύναμη!!! </span></span></p><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;"> </span></span></p><div class="separator" style="clear: both; text-align: center;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;"><a href="https://1.bp.blogspot.com/-XbPNv5F1N5M/YLY8XSMamII/AAAAAAAAZAI/BT9xH0oilTow22NS2TtZcm7uiSxVbCmewCLcBGAsYHQ/s1766/54o%2B%25CE%25B4%25CE%25B7%25CE%25BC%25CE%25BF%25CF%2583%25CE%25AF%25CE%25B5%25CF%2585%25CF%2583%25CE%25B7%2B2021%2B%25CF%2587%25CF%2589%25CF%2581%25CE%25AF%25CF%2582%2Bextra_Page_01%25281%2529.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1766" data-original-width="1241" height="400" src="https://1.bp.blogspot.com/-XbPNv5F1N5M/YLY8XSMamII/AAAAAAAAZAI/BT9xH0oilTow22NS2TtZcm7uiSxVbCmewCLcBGAsYHQ/w281-h400/54o%2B%25CE%25B4%25CE%25B7%25CE%25BC%25CE%25BF%25CF%2583%25CE%25AF%25CE%25B5%25CF%2585%25CF%2583%25CE%25B7%2B2021%2B%25CF%2587%25CF%2589%25CF%2581%25CE%25AF%25CF%2582%2Bextra_Page_01%25281%2529.jpg" width="281" /></a></span></span></div><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;"><br /></span><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-w-0dFFsU95M/YLY8bOM02VI/AAAAAAAAZAM/udnqEuBalrYcRoGVYB7Y6MdgWPmU2EKYwCLcBGAsYHQ/s2048/54o%2B%25CE%25B4%25CE%25B7%25CE%25BC%25CE%25BF%25CF%2583%25CE%25AF%25CE%25B5%25CF%2585%25CF%2583%25CE%25B7%2B2021%2B%25CF%2587%25CF%2589%25CF%2581%25CE%25AF%25CF%2582%2Bextra_Page_02%25281%2529.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="2048" data-original-width="1447" height="400" src="https://1.bp.blogspot.com/-w-0dFFsU95M/YLY8bOM02VI/AAAAAAAAZAM/udnqEuBalrYcRoGVYB7Y6MdgWPmU2EKYwCLcBGAsYHQ/w283-h400/54o%2B%25CE%25B4%25CE%25B7%25CE%25BC%25CE%25BF%25CF%2583%25CE%25AF%25CE%25B5%25CF%2585%25CF%2583%25CE%25B7%2B2021%2B%25CF%2587%25CF%2589%25CF%2581%25CE%25AF%25CF%2582%2Bextra_Page_02%25281%2529.jpg" width="283" /></a></div></span><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-wUR-0qHUEHI/YLY8egdpSlI/AAAAAAAAZAQ/NzQ9GMy4EEU6io2igOZL9CkEL3fIG_D_ACLcBGAsYHQ/s1766/54o%2B%25CE%25B4%25CE%25B7%25CE%25BC%25CE%25BF%25CF%2583%25CE%25AF%25CE%25B5%25CF%2585%25CF%2583%25CE%25B7%2B2021%2B%25CF%2587%25CF%2589%25CF%2581%25CE%25AF%25CF%2582%2Bextra_Page_03%25281%2529.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1766" data-original-width="1241" height="400" src="https://1.bp.blogspot.com/-wUR-0qHUEHI/YLY8egdpSlI/AAAAAAAAZAQ/NzQ9GMy4EEU6io2igOZL9CkEL3fIG_D_ACLcBGAsYHQ/w281-h400/54o%2B%25CE%25B4%25CE%25B7%25CE%25BC%25CE%25BF%25CF%2583%25CE%25AF%25CE%25B5%25CF%2585%25CF%2583%25CE%25B7%2B2021%2B%25CF%2587%25CF%2589%25CF%2581%25CE%25AF%25CF%2582%2Bextra_Page_03%25281%2529.jpg" width="281" /></a></div><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-RoK9YHmvRys/YLY8ih0N3LI/AAAAAAAAZAU/4LIFDB1xxQELyHTewFMpKPqtoHQztMQcACLcBGAsYHQ/s1766/54o%2B%25CE%25B4%25CE%25B7%25CE%25BC%25CE%25BF%25CF%2583%25CE%25AF%25CE%25B5%25CF%2585%25CF%2583%25CE%25B7%2B2021%2B%25CF%2587%25CF%2589%25CF%2581%25CE%25AF%25CF%2582%2Bextra_Page_04%25281%2529.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1766" data-original-width="1241" height="400" src="https://1.bp.blogspot.com/-RoK9YHmvRys/YLY8ih0N3LI/AAAAAAAAZAU/4LIFDB1xxQELyHTewFMpKPqtoHQztMQcACLcBGAsYHQ/w281-h400/54o%2B%25CE%25B4%25CE%25B7%25CE%25BC%25CE%25BF%25CF%2583%25CE%25AF%25CE%25B5%25CF%2585%25CF%2583%25CE%25B7%2B2021%2B%25CF%2587%25CF%2589%25CF%2581%25CE%25AF%25CF%2582%2Bextra_Page_04%25281%2529.jpg" width="281" /></a></div><p class="MsoNormal"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-zXa6BavosW4/YLY8nqVKaYI/AAAAAAAAZAc/BEfymjHfA2494PhE1Cn5UJICT4rS_pzAQCLcBGAsYHQ/s1755/54o%2B%25CE%25B4%25CE%25B7%25CE%25BC%25CE%25BF%25CF%2583%25CE%25AF%25CE%25B5%25CF%2585%25CF%2583%25CE%25B7%2B2021%2B%25CF%2587%25CF%2589%25CF%2581%25CE%25AF%25CF%2582%2Bextra_Page_05%25281%2529.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1755" data-original-width="1241" height="400" src="https://1.bp.blogspot.com/-zXa6BavosW4/YLY8nqVKaYI/AAAAAAAAZAc/BEfymjHfA2494PhE1Cn5UJICT4rS_pzAQCLcBGAsYHQ/w283-h400/54o%2B%25CE%25B4%25CE%25B7%25CE%25BC%25CE%25BF%25CF%2583%25CE%25AF%25CE%25B5%25CF%2585%25CF%2583%25CE%25B7%2B2021%2B%25CF%2587%25CF%2589%25CF%2581%25CE%25AF%25CF%2582%2Bextra_Page_05%25281%2529.jpg" width="283" /></a></div><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-yZ1odjVOCyI/YLY8r0qhC7I/AAAAAAAAZAk/lWwm8gZJj4QKI0ojAvG36bsB81bikDBWQCLcBGAsYHQ/s1766/54o%2B%25CE%25B4%25CE%25B7%25CE%25BC%25CE%25BF%25CF%2583%25CE%25AF%25CE%25B5%25CF%2585%25CF%2583%25CE%25B7%2B2021%2B%25CF%2587%25CF%2589%25CF%2581%25CE%25AF%25CF%2582%2Bextra_Page_06%25281%2529.jpg" style="margin-left: 1em; 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text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"> </div><iframe allowfullscreen="" class="BLOG_video_class" height="266" src="https://www.youtube.com/embed/bpZvg_FjL3Q" width="320" youtube-src-id="bpZvg_FjL3Q"></iframe></div><br /><br /><br />Βασίληςhttp://www.blogger.com/profile/08192330940730446249noreply@blogger.com0tag:blogger.com,1999:blog-4980200313074426892.post-49714197358711526712021-05-27T10:33:00.005+03:002021-05-27T10:35:32.102+03:0053ο Γενικό Διαγώνισμα στα Μαθηματικά. ΕΚΦΩΝΗΣΕΙΣ- ΑΠΑΝΤΗΣΕΙΣ <p> </p><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-P9_ItAQBgl4/YK9HGgoUp5I/AAAAAAAAYz8/j2QaQbsZTLQWJbMJ7EeV9Q9zlnTfuJmfwCLcBGAsYHQ/s1887/tomos%2Bb%2Beksofila%2B03_1%2B%25CF%2580%25CF%2581%25CE%25BF%25CF%2583%25CE%25B1%25CF%2581%25CE%25BC%25CE%25BF%25CE%25B3%25CE%25AE.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1887" data-original-width="1327" height="400" src="https://1.bp.blogspot.com/-P9_ItAQBgl4/YK9HGgoUp5I/AAAAAAAAYz8/j2QaQbsZTLQWJbMJ7EeV9Q9zlnTfuJmfwCLcBGAsYHQ/w281-h400/tomos%2Bb%2Beksofila%2B03_1%2B%25CF%2580%25CF%2581%25CE%25BF%25CF%2583%25CE%25B1%25CF%2581%25CE%25BC%25CE%25BF%25CE%25B3%25CE%25AE.jpg" width="281" /></a></div><p></p><p>
</p><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">53<sup>η</sup> Στάση</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Για λίγο ακόμα μπορούμε να
μαθαίνουμε…</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Για λίγο ακόμα μπορούμε να
αυτοσχεδιάζουμε….</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Για λίγο ακόμα να επενδύουμε
στην Αναζήτηση και στο μοίρασμα της Γνώσης </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;"> </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Κι όσοι από εσάς, τους
μαθητές μας, </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">ετοιμάζεστε να αναμετρηθείτε με
τη Γνώση </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">στο τίμιο πεδίο των εξετάσεων
…</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Απολαύστε τη διαδικασία της
Μάθησης </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Αυτό είναι το μυστικό!</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Η Σημερινή ανάρτηση αφιερώνεται
στον Συνάδελφο Ανδρέα Κούρτη που με σχολαστικότητα μελετάει τα δοκίμια των
λύσεων και βρίσκει όλα τα λάθη μου.</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;"> </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Ακολουθούν ενδεικτικές λύσεις
</span></span></p>
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text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="266" src="https://www.youtube.com/embed/l-n49tLJ4EY" width="320" youtube-src-id="l-n49tLJ4EY"></iframe></div><br />Βασίληςhttp://www.blogger.com/profile/08192330940730446249noreply@blogger.com0tag:blogger.com,1999:blog-4980200313074426892.post-58236871715209251522021-05-12T10:40:00.014+03:002021-05-25T14:54:08.721+03:0052ο Γενικό Διαγώνισμα στα Μαθηματικά. 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<![endif]--></p><p>
</p><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">52<sup>η</sup>
Δημιουργική Στάση</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Η Αναζήτηση
και η εμβάθυνση συνεχίζεται…</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif"> </span></span></p><span style="font-family: helvetica;"><br /></span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Εύχομαι,
για αυτό το τελευταίο κρίσιμο διάστημα,</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Κουράγιο
και Ακατάβλητη θέληση </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Στα παιδιά
που μάχονται να κατακτήσουν τη γνώση αλλά </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Και στου
Συναδέλφους που αγρυπνούν, δεν εφησυχάζουν, </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">εξερευνούν
και διαρκώς ανακαλύπτουν…</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Ώστε να
κατακτούν και να διατηρούν τον τίτλο του Δασκάλου </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Και βέβαια
να στέκονται συμπαραστάτες και συνοδοιπόροι </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Στη Μάχη
που έρχεται<span style="mso-spacerun: yes;"> </span></span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif"> </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Υ.Γ. </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Προς τους
Μαθητές μας </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Εννοείται
δεν υπάρχει περίπτωση να μας ζητήσουν 3 ρυθμούς μεταβολής!!!</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Το
διαγώνισμα είναι για μας δείξει, μερικά από τα διαφορετικά ερωτήματα, που
μπορούν να μας ζητήσουν ( ένα από όλα αυτά κάθε φορά) </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">και πως η
ουσία είναι η ίδια:</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Τα
προβλήματα του ρυθμού μεταβολής (δεν<span style="mso-spacerun: yes;">
</span>πρέπει να μας φοβίζουν) το αντίθετο μάλιστα,</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">μας δίνουν
μόρια, μόνο και μόνο αν ξέρουμε </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">να
εκφράζουμε τα μεταβαλλόμενα μεγέθη ως προς την μεταβλητή που αλλάζει</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">(εδώ ο
χρόνος) </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Και αν
ξέρουμε να παραγωγίζουμε μια σύνθετη συνάρτηση!! </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Και
εννοείται δεν πρόκειται να μας ζητήσουν να αποδείξουμε τρεις ανισώσεις στο </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Θέμα Δ (
για αυτό και υπάρχει η επιπλέον βαθμολόγηση 25++) </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Και πάλι,
με αφετηρία τη συνάρτηση του Θέματος Δ και τις ιδιότητες που απορρέουν από τη
μελέτη της συμπεριφοράς της, ενδεικτικά παρουσιάζουμε διαφορετικές ανισώσεις
που μπορούν να ζητηθούν, συνδυάζοντας και απλές αλγεβρικές γνώσεις από τις
προηγούμενες τάξεις. </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Ελπίζω,
όσοι από εσάς δοκιμάσετε, να απολαύσετε τη διαδικασία της λύσης </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif">Ακολουθούν οι </span><span face=""Helvetica",sans-serif">ενδεικτικές απαντήσεις </span></span>
</p><p class="MsoNormal"><span face=""Helvetica",sans-serif"> <br /><br /><br /></span></p><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-RgBr2Cedd-U/YJuGIUI8bMI/AAAAAAAAYuk/1HDsWvSDDm0c0Hz-Za8hYVYCgmuEldGjACLcBGAsYHQ/s1766/52o%2B%25CE%25B4%25CE%25B7%25CE%25BC%25CE%25BF%25CF%2583%25CE%25AF%25CE%25B5%25CF%2585%25CF%2583%25CE%25B7%2B2021_Page_01.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1766" data-original-width="1241" height="400" src="https://1.bp.blogspot.com/-RgBr2Cedd-U/YJuGIUI8bMI/AAAAAAAAYuk/1HDsWvSDDm0c0Hz-Za8hYVYCgmuEldGjACLcBGAsYHQ/w281-h400/52o%2B%25CE%25B4%25CE%25B7%25CE%25BC%25CE%25BF%25CF%2583%25CE%25AF%25CE%25B5%25CF%2585%25CF%2583%25CE%25B7%2B2021_Page_01.jpg" width="281" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-eETHB5HnOVc/YJuGHkEuNyI/AAAAAAAAYug/KytGNIojlXISBB-kEaLfZ5qMmrWJtYOlgCLcBGAsYHQ/s1766/52o%2B%25CE%25B4%25CE%25B7%25CE%25BC%25CE%25BF%25CF%2583%25CE%25AF%25CE%25B5%25CF%2585%25CF%2583%25CE%25B7%2B2021_Page_02.jpg" style="margin-left: 1em; 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margin-right: 1em;"><img border="0" data-original-height="1766" data-original-width="1241" height="400" src="https://1.bp.blogspot.com/-qi8D4CvlHVk/YJuIvDY4a8I/AAAAAAAAYyQ/HMBjuaNRbHIP6I5j8GmPxoALkJw-nzsTgCLcBGAsYHQ/w281-h400/52o%2B%25CE%25B4%25CE%25B7%25CE%25BC%25CE%25BF%25CF%2583%25CE%25AF%25CE%25B5%25CF%2585%25CF%2583%25CE%25B7%2B2021_Page_30.jpg" width="281" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-9WdxXJyZ9-c/YJuIvmIPMLI/AAAAAAAAYyU/dVd_lJNO9XA3oIOdw9kkSA3tVrwVw7PgwCLcBGAsYHQ/s1766/52o%2B%25CE%25B4%25CE%25B7%25CE%25BC%25CE%25BF%25CF%2583%25CE%25AF%25CE%25B5%25CF%2585%25CF%2583%25CE%25B7%2B2021_Page_31.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1766" data-original-width="1241" height="400" src="https://1.bp.blogspot.com/-9WdxXJyZ9-c/YJuIvmIPMLI/AAAAAAAAYyU/dVd_lJNO9XA3oIOdw9kkSA3tVrwVw7PgwCLcBGAsYHQ/w281-h400/52o%2B%25CE%25B4%25CE%25B7%25CE%25BC%25CE%25BF%25CF%2583%25CE%25AF%25CE%25B5%25CF%2585%25CF%2583%25CE%25B7%2B2021_Page_31.jpg" width="281" /></a></div><span style="font-family: helvetica;">ακολουθεί το Α4. γ) που λείπει από τις παραπάνω λύσεις.</span><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-_Mm-COYUq1g/YKTV_E5gCpI/AAAAAAAAYzY/pXxF6VTSUHEofFbSA6tz1VjmjAiSxpdQACLcBGAsYHQ/s1766/52o%2B%25CE%25BC%25CF%258C%25CE%25BD%25CE%25BF%2B%25CE%25914.%2B%25CE%25B3%2529%2B2021.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1766" data-original-width="1241" height="400" src="https://1.bp.blogspot.com/-_Mm-COYUq1g/YKTV_E5gCpI/AAAAAAAAYzY/pXxF6VTSUHEofFbSA6tz1VjmjAiSxpdQACLcBGAsYHQ/w281-h400/52o%2B%25CE%25BC%25CF%258C%25CE%25BD%25CE%25BF%2B%25CE%25914.%2B%25CE%25B3%2529%2B2021.jpg" width="281" /></a></div><br />Βασίληςhttp://www.blogger.com/profile/08192330940730446249noreply@blogger.com0tag:blogger.com,1999:blog-4980200313074426892.post-11186738874894095132021-04-16T11:01:00.002+03:002021-04-16T11:52:22.929+03:0051ο Γενικό Διαγώνισμα στα Μαθηματικά. 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</p><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Arial",sans-serif" style="font-size: 16pt; line-height: 107%;">51<sup>η</sup> Στάση </span></span></p><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Arial",sans-serif" style="font-size: 16pt; line-height: 107%;">και η δημιουργική Αναζήτηση
συνεχίζεται… </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Arial",sans-serif" style="font-size: 16pt; line-height: 107%;">Το σημερινό αφιερωμένο στους εξαίρετους Συναδέλφους
Μαθηματικούς Νίκο Ζανταρίδη και Κώστα Τηλέγραφο.</span></span></p><p class="MsoNormal"><span face=""Arial",sans-serif" style="font-size: 16pt; line-height: 107%;"> </span></p><div class="separator" style="clear: both; text-align: center;"><span face=""Arial",sans-serif" style="font-size: 16pt; line-height: 107%;"><a href="https://1.bp.blogspot.com/-rYPgSqUgRag/YHlEgKjVayI/AAAAAAAAYgQ/ZjrjqU7KEw002_sHaNfGeR5j1O1JcYx_QCLcBGAsYHQ/s1887/tomos%2Bb%2Beksofila%2B03_1%2B%25CF%2580%25CF%2581%25CE%25BF%25CF%2583%25CE%25B1%25CF%2581%25CE%25BC%25CE%25BF%25CE%25B3%25CE%25AE.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1887" data-original-width="1327" height="400" src="https://1.bp.blogspot.com/-rYPgSqUgRag/YHlEgKjVayI/AAAAAAAAYgQ/ZjrjqU7KEw002_sHaNfGeR5j1O1JcYx_QCLcBGAsYHQ/w281-h400/tomos%2Bb%2Beksofila%2B03_1%2B%25CF%2580%25CF%2581%25CE%25BF%25CF%2583%25CE%25B1%25CF%2581%25CE%25BC%25CE%25BF%25CE%25B3%25CE%25AE.jpg" width="281" /></a></span></div><span face=""Arial",sans-serif" style="font-size: 16pt; line-height: 107%;"><br /></span><p></p><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-IxKGVUK8ACQ/YHlBYRC0_uI/AAAAAAAAYdg/ktYfXZC7zjIg6qZRSs3XfYk-C9mCC2hLACLcBGAsYHQ/s1766/51%25CE%25BF%2Bbook%2B%25CE%25BD%25CE%25B5%25CE%25BF%2B2021_Page_01.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1766" data-original-width="1241" height="400" src="https://1.bp.blogspot.com/-IxKGVUK8ACQ/YHlBYRC0_uI/AAAAAAAAYdg/ktYfXZC7zjIg6qZRSs3XfYk-C9mCC2hLACLcBGAsYHQ/w281-h400/51%25CE%25BF%2Bbook%2B%25CE%25BD%25CE%25B5%25CE%25BF%2B2021_Page_01.jpg" width="281" /></a></div><a href="https://1.bp.blogspot.com/-2Ymfnr2nS1U/YHlBZeAQ1GI/AAAAAAAAYdo/AIMFFrcJ1Bs0JNvpRbpMOliMOcSHdovkQCLcBGAsYHQ/s1766/51%25CE%25BF%2Bbook%2B%25CE%25BD%25CE%25B5%25CE%25BF%2B2021_Page_02.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1766" data-original-width="1241" height="400" src="https://1.bp.blogspot.com/-2Ymfnr2nS1U/YHlBZeAQ1GI/AAAAAAAAYdo/AIMFFrcJ1Bs0JNvpRbpMOliMOcSHdovkQCLcBGAsYHQ/w281-h400/51%25CE%25BF%2Bbook%2B%25CE%25BD%25CE%25B5%25CE%25BF%2B2021_Page_02.jpg" width="281" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-4Q97vHwO0jk/YHlCDAEvnUI/AAAAAAAAYeM/j2riQH-mgtAoAJWtXvqF-B6nQ-C28Gz9gCLcBGAsYHQ/s1766/51%25CE%25BF%2Bbook%2B%25CE%25BD%25CE%25B5%25CE%25BF%2B2021_Page_03.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1766" data-original-width="1241" height="400" src="https://1.bp.blogspot.com/-4Q97vHwO0jk/YHlCDAEvnUI/AAAAAAAAYeM/j2riQH-mgtAoAJWtXvqF-B6nQ-C28Gz9gCLcBGAsYHQ/w281-h400/51%25CE%25BF%2Bbook%2B%25CE%25BD%25CE%25B5%25CE%25BF%2B2021_Page_03.jpg" width="281" /></a><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-B98liuRR9bw/YHlCLM7HBhI/AAAAAAAAYeQ/61aLOcgzVX4u7XGTad3lm3TunigVfRpGgCLcBGAsYHQ/s1766/51%25CE%25BF%2Bbook%2B%25CE%25BD%25CE%25B5%25CE%25BF%2B2021_Page_04.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1766" data-original-width="1241" height="400" src="https://1.bp.blogspot.com/-B98liuRR9bw/YHlCLM7HBhI/AAAAAAAAYeQ/61aLOcgzVX4u7XGTad3lm3TunigVfRpGgCLcBGAsYHQ/w281-h400/51%25CE%25BF%2Bbook%2B%25CE%25BD%25CE%25B5%25CE%25BF%2B2021_Page_04.jpg" width="281" /></a></div></div><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-1wRQyU-CvkU/YHlCMXXOZGI/AAAAAAAAYeU/MdrPBCAcw-4VbclVquE1MvTVTrH7PyTSQCLcBGAsYHQ/s1766/51%25CE%25BF%2Bbook%2B%25CE%25BD%25CE%25B5%25CE%25BF%2B2021_Page_05.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1766" data-original-width="1241" height="400" src="https://1.bp.blogspot.com/-1wRQyU-CvkU/YHlCMXXOZGI/AAAAAAAAYeU/MdrPBCAcw-4VbclVquE1MvTVTrH7PyTSQCLcBGAsYHQ/w281-h400/51%25CE%25BF%2Bbook%2B%25CE%25BD%25CE%25B5%25CE%25BF%2B2021_Page_05.jpg" width="281" /></a></div><br /><br />
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text-align: center;"><a href="https://1.bp.blogspot.com/-0ivJDpFfaLc/YHlDlYVY1CI/AAAAAAAAYgE/KJZdY_cXhYUf0dJQYAe7H9I6kdx3efuagCLcBGAsYHQ/s1766/51%25CE%25BF%2Bbook%2B%25CE%25BD%25CE%25B5%25CE%25BF%2B2021_Page_22.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1766" data-original-width="1241" height="400" src="https://1.bp.blogspot.com/-0ivJDpFfaLc/YHlDlYVY1CI/AAAAAAAAYgE/KJZdY_cXhYUf0dJQYAe7H9I6kdx3efuagCLcBGAsYHQ/w281-h400/51%25CE%25BF%2Bbook%2B%25CE%25BD%25CE%25B5%25CE%25BF%2B2021_Page_22.jpg" width="281" /></a></div><p></p><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="266" src="https://www.youtube.com/embed/L_5rtrPTZdw" width="320" youtube-src-id="L_5rtrPTZdw"></iframe></div><br /><p><br /></p><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="266" src="https://www.youtube.com/embed/X1x8kq5YIAI" width="320" youtube-src-id="X1x8kq5YIAI"></iframe></div><br /><p><br /></p>Βασίληςhttp://www.blogger.com/profile/08192330940730446249noreply@blogger.com0tag:blogger.com,1999:blog-4980200313074426892.post-23948536391491028702021-03-07T12:30:00.009+02:002021-03-07T12:49:51.972+02:0050ο Γενικό Διαγώνισμα στα Μαθηματικά από τον τόμο Β<p></p><p></p><p></p><p> </p><p> <br /></p><div class="separator" style="clear: both; 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</p><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; line-height: 107%;">Δημοσιεύω εδώ το 50<sup>ο</sup> (τελευταίο) Διαγώνισμα
από το </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; line-height: 107%;">Β τόμο που κυκλοφορεί (όπως και ο Α τόμος) </span></span></p><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; line-height: 107%;">από τις
φιλόξενες εκδόσεις, με ευδιάκριτο και αξιόλογο μαθηματικό στίγμα:<span style="mso-spacerun: yes;"> </span></span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; line-height: 107%;">ΖΑΝΤΑΡΙΔΗΣ – ΤΗΛΕΓΡΑΦΟΣ </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; line-height: 107%;">Ο Β τόμος είναι μοιραία προσαρμοσμένος στη φετινή ύλη. </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; line-height: 107%;">Έτσι όλα τα διαγωνίσματα έχουν 4 θέματα στην ύλη
2020-2021.</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; line-height: 107%;">Όμως σε όλα τα σχετικά θέματα έχουν προστεθεί
εναλλακτικά ερωτήματα έτσι ώστε το βιβλίο να είναι χρήσιμο όταν και τα
ολοκληρώματα συμπεριληφθούν στην εξεταστέα ύλη. </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; line-height: 107%;">Εύχομαι το αποτέλεσμα να είναι αντάξιο </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; line-height: 107%;">πρώτα και κύρια του σκοπού για τον οποίο </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; line-height: 107%;">γράφτηκε το βιβλίο: να βοηθήσει τους μαθητές </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; line-height: 107%;">που θέλουν να μελετήσουν Μαθηματικά, </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; line-height: 107%;">αλλά και τους Συναδέλφους Μαθηματικούς, </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; line-height: 107%;">σε όποια φάση της καριέρας τους κι αν βρίσκονται:</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; line-height: 107%;">δίνοντας στους νέους ένα στίγμα μια ολόκληρης εποχής,</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; line-height: 107%;">και στους παλαιότερους μια ακόμα, ίσως λίγο αιρετική,
ματιά</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; line-height: 107%;">στα τόσα σπουδαία και μοναδικά, που μας έχουν χαρίσει </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; line-height: 107%;">είτε μέσα στην τάξη, είτε μέσα από τα υπέροχα βιβλία
τους, </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; line-height: 107%;">που μοιράστηκαν μαζί μας.</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; line-height: 107%;"> </span></span></p>
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<p></p><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Βασίλης Γ. Κουγιουμτσιάδης</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">ΓΕΝΙΚΑ ΔΙΑΓΩΝΙΣΜΑΤΑ ΜΑΘΗΜΑΤΙΚΩΝ</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Τόμος Β (26ο –
50ο Διαγώνισμα)</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Από τις ποιοτικές και με εξαιρετικό
Μαθηματικό στίγμα,</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">ΕΚΔΟΣΕΙΣ: ΖΑΝΤΑΡΙΔΗΣ – ΤΗΛΕΓΡΑΦΟΣ</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"> </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Με 25 ΝΕΑ Γενικά Διαγωνίσματα</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Προσαρμοσμένα στη ΝΕΑ ΥΛΗ.</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Αλλά με εναλλακτικά θέματα σε
ολόκληρη την ύλη.</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">704 σελίδες Επιστημονικής
Αυστηρότητας, αλλά και Μαθηματικής Μαγείας</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Ένας τόμος Βιβλιοθήκης</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"> </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-family: helvetica;"><span style="font-size: 12pt; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; mso-fareast-language: EL;"><span style="mso-list: Ignore;">·<span style="font-feature-settings: normal; font-kerning: auto; font-language-override: normal; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; font-weight: normal; line-height: normal;">
</span></span></span><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Για ΟΛΟΥΣ
τους Μαθητές</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-family: helvetica;"><span style="font-size: 12pt; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; mso-fareast-language: EL;"><span style="mso-list: Ignore;">·<span style="font-feature-settings: normal; font-kerning: auto; font-language-override: normal; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; font-weight: normal; line-height: normal;">
</span></span></span><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Για τους
Μαθητές, που νιώθουν ότι άργησαν να μπουν στη μάχη: Με Αναλυτικές λύσεις έτσι
ώστε να μη μένει κανένα σκοτεινό σημείο</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-family: helvetica;"><span style="font-size: 12pt; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; mso-fareast-language: EL;"><span style="mso-list: Ignore;">·<span style="font-feature-settings: normal; font-kerning: auto; font-language-override: normal; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; font-weight: normal; line-height: normal;">
</span></span></span><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Για τους
Δυνατούς Μαθητές που αναζητούν νέες Μαθηματικές Προκλήσεις!</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-family: helvetica;"><span style="font-size: 12pt; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; mso-fareast-language: EL;"><span style="mso-list: Ignore;">·<span style="font-feature-settings: normal; font-kerning: auto; font-language-override: normal; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; font-weight: normal; line-height: normal;">
</span></span></span><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Για τους
Άριστους που επιθυμούν να αναμετριόνται κάθε φορά με το απίθανο!</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"> </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"> </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-family: helvetica;"><span style="font-size: 12pt; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; mso-fareast-language: EL;"><span style="mso-list: Ignore;">·<span style="font-feature-settings: normal; font-kerning: auto; font-language-override: normal; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; font-weight: normal; line-height: normal;">
</span></span></span><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Για τους
Νέους Συναδέλφους, απαραίτητο εργαλείο καθημερινής μάχης αλλά και αυτό-βελτίωσης</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-family: helvetica;"><span style="font-size: 12pt; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; mso-fareast-language: EL;"><span style="mso-list: Ignore;">·<span style="font-feature-settings: normal; font-kerning: auto; font-language-override: normal; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; font-weight: normal; line-height: normal;">
</span></span></span><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Για τους
Καταξιωμένους Συναδέλφους, μια αιρετική ματιά στα όσα σπουδαία έχουν συναντήσει
και έχουν κοινωνήσει τόσα χρόνια μέσα στην τάξη!!!</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"> </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Σε εκπαιδεύει να λύνεις 4 θέματα σε
3 ώρες!</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"> </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Ρώτησε όσους διάβασαν τον πρώτο
τόμο, και μίλησαν για αυτό:</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">«καταπληκτικό!!!!»</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">«δεν μοιάζει με κανένα άλλο…»,</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">«δεν περίμενα να έχει τόσα λυμένα
προβλήματα!!!»</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">«κι η θεωρία….με τόσα σχήματα»</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">«και ισχυρισμοί αληθείς!!!,
επιτέλους» </span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">«τα διαγωνίσματα αυτά οξύνουν τον
τρόπο σκέψης»</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">«συμβάλλουν σε σημαντικό βαθμό στην βαθύτερη
κατανόηση της ύλης»</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">Δείγμα του Β τόμου δείτε εδώ</span></span></p><p><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"><span style="mso-spacerun: yes;"> </span></span></span></p><p><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"><span style="mso-spacerun: yes;"><a href="https://zanthl.gr/product/3-%ce%b3%ce%b5%ce%bd%ce%b9%ce%ba%ce%ac-%ce%b4%ce%b9%ce%b1%ce%b3%cf%89%ce%bd%ce%af%cf%83%ce%bc%ce%b1%cf%84%ce%b1-%ce%bc%ce%b1%ce%b8%ce%b7%ce%bc%ce%b1%cf%84%ce%b9%ce%ba%cf%8e%ce%bd-%ce%bc%ce%b5-%ce%b1/" target="_blank">Δείγμα τόμου Β</a> </span></span></span>
</p><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;">κι εδώ δείγμα του Α τόμου</span></span></p><span style="font-family: helvetica;">
</span><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-family: helvetica;"><span face=""Helvetica",sans-serif" style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EL;"><br /></span></span></p><p><span style="font-family: helvetica;">
<span><a href="https://zanthl.gr/product/%ce%b3%ce%b5%ce%bd%ce%b9%ce%ba%ce%ac-%ce%b4%ce%b9%ce%b1%ce%b3%cf%89%ce%bd%ce%af%cf%83%ce%bc%ce%b1%cf%84%ce%b1-%ce%bc%ce%b1%ce%b8%ce%b7%ce%bc%ce%b1%cf%84%ce%b9%ce%ba%cf%8e%ce%bd-%ce%bc%ce%b5-%ce%b1/" target="_blank">Δείγμα τόμου Α </a></span></span></p><p><span style="font-family: helvetica;"><span> </span></span></p><p><span style="font-family: helvetica;"><span></span></span></p><div class="separator" style="clear: both; text-align: center;"><span><iframe allowfullscreen="" class="BLOG_video_class" height="303" src="https://www.youtube.com/embed/RFMOWX0_Wzo" width="364" youtube-src-id="RFMOWX0_Wzo"></iframe></span></div><span><br /> </span><br /><p></p>Βασίληςhttp://www.blogger.com/profile/08192330940730446249noreply@blogger.com0tag:blogger.com,1999:blog-4980200313074426892.post-15111140433950717762020-12-28T11:38:00.003+02:002020-12-28T11:38:50.074+02:00Μια Εισαγωγή στον Διανυσματικό Λογισμό στο Επίπεδο<p> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-lzcM2Viniks/X-mmq8Onf7I/AAAAAAAAXb4/_WQjoUEmxe0oLO_uc11FgKj9k_DOhY8ggCLcBGAsYHQ/s2089/%25CE%2594%25CE%25B9%25CE%25B1%25CE%25BD%25CF%258D%25CF%2583%25CE%25BC%25CE%25B1%25CF%2584%25CE%25B1%2B1%2B2020%25281%2529.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="939" data-original-width="2089" height="193" src="https://1.bp.blogspot.com/-lzcM2Viniks/X-mmq8Onf7I/AAAAAAAAXb4/_WQjoUEmxe0oLO_uc11FgKj9k_DOhY8ggCLcBGAsYHQ/w429-h193/%25CE%2594%25CE%25B9%25CE%25B1%25CE%25BD%25CF%258D%25CF%2583%25CE%25BC%25CE%25B1%25CF%2584%25CE%25B1%2B1%2B2020%25281%2529.png" width="429" /></a></div><p></p><p>
</p><p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;"> </span></p><p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Ένα απαιτητικό κουίζ στα
Διανύσματα!!!!</span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Για πολύ καλά
προετοιμασμένους μαθητές της Β Λυκείου. </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;"><a href="https://forms.office.com/Pages/ResponsePage.aspx?id=DQSIkWdsW0yxEjajBLZtrQAAAAAAAAAAAANAAdL7B-tUOUM2M0hDUVJYRzVLQ0ZCQURLR1k2TFFZUS4u" target="_blank">Διανυσματικός Λογισμός στο Επίπεδο</a><br /></span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Επιμένουμε ότι:</span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">για να φτάσει κανείς με
αξιώσεις </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">και να μελετήσει τα
Μαθηματικά της Γ Λυκείου, </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">για να πετύχει στις εξετάσεις
αλλά και πολύ περισσότερο,</span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">για να προχωρήσει τη μελέτη
του, στα Μαθηματικά, </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">στα πανεπιστημιακά έδρανα,
και για να έχει το ελάχιστο δυνατό επίπεδο γνώσεων, </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">που θα μπορεί να του
εξασφαλίσει την κατανόηση των Ανώτερων Μαθηματικών που ακολουθούν, δεν μπορεί, σε
καμία περίπτωση, να αγνοεί, </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">και ακόμα χειρότερα, να
απαξιώνει τα Μαθηματικά της Β Λυκείου </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">και μάλιστα με την ψευδο
δικαιολογία «ότι δεν εξετάζονται στην Γ Λυκείου»(;;;;).</span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Η Μαθηματική Γνώση έχει
συνέχεια, έχει αλληλουχία και αλληλεπίδραση. </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Οτιδήποτε άλλο, απλά σημαίνει
φτώχια και μαθηματική κουτοπονηριά, <span style="mso-spacerun: yes;"> </span></span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">ενίοτε δε και κακογουστιά.</span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Ειδικά όταν<span style="mso-spacerun: yes;"> </span>τέτοιες «επαναστατικές» και «αναγκαστικά
πρακτικές» απόψεις, </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">ακούγονται αλλά και
εφαρμόζονται από επαγγελματίες Μαθηματικούς,</span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">προσπαθώντας να χωρέσουν σε
4,5 μόλις ώρες, την εβδομάδα, ένα πολύ απαιτητικό και ευρύ φάσμα Μαθηματικής
Γνώσης που εμπεριέχεται στην απαιτούμενη ύλη της Β Λυκείου. </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Και βέβαια είναι επικίνδυνες και
καταστροφικές για τη συνέχεια, όταν διαφημίζονται </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">(με την ανοχή της άγνοιας ή τη
μιζέρια της βλακείας, αυτό δεν έχει και τόσο σημασία)<span style="mso-spacerun: yes;"> </span></span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">και εφαρμόζονται, <span style="mso-spacerun: yes;"> </span>από «φωστήρες»,<span style="mso-spacerun: yes;"> </span>«πανεπιστήμονες» αντιποίησης, ασχετοσύνης </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">και «<em><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">γιαλαντζί</span></em> μαθηματικών» περιωπής…
στα κρυφά και χωρίς ίχνος ντροπής, </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">στα υπόγεια της συναλλαγής και
στο περιθώριο της επιστημονικής γνώσης, την οποία προφανώς και δεν κατέχουν!!!,
αναπαράγοντας ξεπερασμένες πρακτικές, και αντιγράφοντας φτηνές επαιτείες
«συγγραμμάτων» και σημειώσεων «ακριβών ιδιαιτεράδων, αυτών που ξέρουν και κάθε
χρόνο πιάνουν τα θέματα!!!», <span style="mso-spacerun: yes;"> </span>παντελώς άσχετοι
και πάντα βέβαια, αισχρά κρυμμένοι, πίσω από «επίσημες ταμπέλες» ερμαφρόδιτων
κλώνων …κατά τα άλλα νομότυποι(;;;) και αξιοποιώντας την ένοχη σιωπή χρόνια
τώρα (άθλια αμοιβαία ή απλά ισοσκελισμένη(;;;) με απευθείας αναθέσεις, επίσης
δεν έχει σημασία) </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;"> </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Εμείς εξακολουθούμε και
καταθέτουμε μια άλλη άποψη για την προσέγγιση των Μαθηματικών στο Λύκειο, και
για την προετοιμασία τους για τα πρώτα εξάμηνα στο Πανεπιστήμιο.</span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Επιμένουμε λοιπόν Μαθηματικά.
</span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Επιμένουμε στην ομορφιά και στην
γοητεία της Ολοκληρωμένης Μαθηματικής Γνώσης, κλείνοντας τα αυτιά σε «σειρήνες
ευκολίας» και ακυρώνοντας στην πράξη </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">επιβεβλημένες πολιτικές
κλαδικής ευθυγράμμισης…. προς τα κάτω</span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;"> </span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Αποχαιρετάμε μια δύσκολη
Χρονιά που μας τα πήρε όλα!!!!</span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Όμως εμείς δεν καταλαβαίνουμε
τίποτα!!!!</span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Συνεχίζουμε να ονειρευόμαστε</span></p>
<p class="MsoNormal"><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">«Και η πιο Μαύρη Νύχτα Θα
φέρει το Φως»<span style="mso-spacerun: yes;"> </span></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family: "Helvetica",sans-serif; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;">Non Mollare Mai</span></p><p class="MsoNormal"><span lang="EN-US" style="font-family: "Helvetica",sans-serif; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;"> </span></p><p class="MsoNormal"><span lang="EN-US" style="font-family: "Helvetica",sans-serif; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;"></span></p><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="266" src="https://www.youtube.com/embed/UKn2Ztc1hnE" width="320" youtube-src-id="UKn2Ztc1hnE"></iframe></div><br /> <span lang="EN-US" style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;"> </span><span style="font-family: "Helvetica",sans-serif; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi;"></span><p></p>
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<![endif]--></p>Βασίληςhttp://www.blogger.com/profile/08192330940730446249noreply@blogger.com0tag:blogger.com,1999:blog-4980200313074426892.post-10886021448925692982020-12-23T18:38:00.008+02:002020-12-23T18:49:49.806+02:00Μέγιστα και ελάχιστα τριγωνομετρικών συναρτήσεων- Πεδία ορισμού εκθετικών συναρτήσεων <p> </p><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-bo1HCNX0Caw/X-N0bc9aT6I/AAAAAAAAXa4/4UaqNmIUkno5tRzEoL0rqOf6fphjohLrwCLcBGAsYHQ/s882/y%253D1-cosx.fb%2B2020.%2B%25CF%258C%25CF%2587%25CE%25B9%2B%25CE%25B4%25CE%25B9%25CE%25B1%25CF%2586%25CE%25B1%25CE%25BD%25CE%25AE%25CF%2582.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="459" data-original-width="882" height="202" src="https://1.bp.blogspot.com/-bo1HCNX0Caw/X-N0bc9aT6I/AAAAAAAAXa4/4UaqNmIUkno5tRzEoL0rqOf6fphjohLrwCLcBGAsYHQ/w392-h202/y%253D1-cosx.fb%2B2020.%2B%25CF%258C%25CF%2587%25CE%25B9%2B%25CE%25B4%25CE%25B9%25CE%25B1%25CF%2586%25CE%25B1%25CE%25BD%25CE%25AE%25CF%2582.png" width="392" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-_HhAqHu3R3I/X-N0dtt85ZI/AAAAAAAAXa8/iBD4--_1Y5A20rJYihNY9QvRCkxPoTnfgCLcBGAsYHQ/s1453/y%253Df%2528x%2529%253D1-%25CE%25B7%25CE%25BCx.%2Bfb%2B2020-1%2B%25CF%258C%25CF%2587%25CE%25B9%2B%25CE%25B4%25CE%25B9%25CE%25B1%25CF%2586%25CE%25B1%25CE%25BD%25CE%25AE%25CF%2582.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="618" data-original-width="1453" height="160" src="https://1.bp.blogspot.com/-_HhAqHu3R3I/X-N0dtt85ZI/AAAAAAAAXa8/iBD4--_1Y5A20rJYihNY9QvRCkxPoTnfgCLcBGAsYHQ/w377-h160/y%253Df%2528x%2529%253D1-%25CE%25B7%25CE%25BCx.%2Bfb%2B2020-1%2B%25CF%258C%25CF%2587%25CE%25B9%2B%25CE%25B4%25CE%25B9%25CE%25B1%25CF%2586%25CE%25B1%25CE%25BD%25CE%25AE%25CF%2582.png" width="377" /></a></div><br /><a href="https://1.bp.blogspot.com/--Kr1Vci9ugs/X-NxD6mBdvI/AAAAAAAAXaQ/oqAzRjvwKtAW55RdTVeNf3px9sh6RfFZACLcBGAsYHQ/s882/y%253D1-cosx.fb%2B2020.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="459" data-original-width="882" height="202" src="https://1.bp.blogspot.com/--Kr1Vci9ugs/X-NxD6mBdvI/AAAAAAAAXaQ/oqAzRjvwKtAW55RdTVeNf3px9sh6RfFZACLcBGAsYHQ/w387-h202/y%253D1-cosx.fb%2B2020.png" width="387" /> </a></div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-yiD08Kwl2Us/X-NxAgNEQHI/AAAAAAAAXaM/tfL8L6b0V50OB0uz99W1YE7wLG_Bc7vxgCLcBGAsYHQ/s1453/y%253Df%2528x%2529%253D1-%25CE%25B7%25CE%25BCx.%2Bfb%2B2020-1.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="618" data-original-width="1453" height="168" src="https://1.bp.blogspot.com/-yiD08Kwl2Us/X-NxAgNEQHI/AAAAAAAAXaM/tfL8L6b0V50OB0uz99W1YE7wLG_Bc7vxgCLcBGAsYHQ/w394-h168/y%253Df%2528x%2529%253D1-%25CE%25B7%25CE%25BCx.%2Bfb%2B2020-1.png" width="394" /></a></div><p></p><p><span style="font-family: helvetica;">Ένα απαιτητικό μαθηματικό κουίζ με τριγωνομετρικές συναρτήσεις </span></p><p><span style="font-family: helvetica;">Μέσος χρόνος απαντήσεων 20 min </span></p><p><span style="font-family: helvetica;"><a href="https://forms.office.com/Pages/ResponsePage.aspx?id=DQSIkWdsW0yxEjajBLZtrQAAAAAAAAAAAANAAdL7B-tUQlIxMUowT0lHSFlCQUhQNExNSFhTNEJLUS4u" target="_blank">Μέγιστα Ελάχιστα τριγωνομετρικών συναρτήσεων - Πεδία Ορισμού Εκθετικών Συναρτήσεων </a></span></p><p><span style="font-family: helvetica;"> Πάμε ξανά λοιπόν<br /></span></p><p></p><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="266" src="https://www.youtube.com/embed/gb4sqx8RcdQ" width="320" youtube-src-id="gb4sqx8RcdQ"></iframe></div><br /> <br /><p></p>Βασίληςhttp://www.blogger.com/profile/08192330940730446249noreply@blogger.com0tag:blogger.com,1999:blog-4980200313074426892.post-84928685975228116792020-12-16T16:11:00.008+02:002020-12-17T11:05:13.860+02:00Ερωτήσεις Σωστού Λάθους - Πολλαπλής Επιλογής και Πλήρους ανάπτυξης στις Ρίζες <p><span style="font-family: helvetica;"> </span></p><div class="separator" style="clear: both; text-align: center;"><span style="font-family: helvetica;"><a href="https://1.bp.blogspot.com/-kbcX60_fbv8/X9opRIPPewI/AAAAAAAAXXM/Tra5KR35cJ4MtOt7bt9B50Wepw_Fi_00QCLcBGAsYHQ/s2604/%25CE%25BD%25CE%25B9%25CE%25BF%25CF%2583%25CF%2584%25CE%25AE%2B%25CF%2581%25CE%25AF%25CE%25B6%25CE%25B1.png%2B2.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1208" data-original-width="2604" height="185" src="https://1.bp.blogspot.com/-kbcX60_fbv8/X9opRIPPewI/AAAAAAAAXXM/Tra5KR35cJ4MtOt7bt9B50Wepw_Fi_00QCLcBGAsYHQ/w400-h185/%25CE%25BD%25CE%25B9%25CE%25BF%25CF%2583%25CF%2584%25CE%25AE%2B%25CF%2581%25CE%25AF%25CE%25B6%25CE%25B1.png%2B2.png" width="400" /></a></span></div><span style="font-family: helvetica;"><br /></span><p></p><p><span style="font-family: helvetica;"> </span></p><p><span style="font-family: helvetica;">Για τους μικρούς μας μαθητές της Α Λυκείου </span></p><p><span style="font-family: helvetica;">ένα πλήρες αρχείο με ερωτήσεις κατανόησης στις Ρίζες </span></p><p><span style="font-family: helvetica;">εδώ.</span></p><p><span style="font-family: helvetica;"><a href="https://forms.office.com/Pages/ResponsePage.aspx?id=DQSIkWdsW0yxEjajBLZtrQAAAAAAAAAAAANAAdL7B-tUMTQyVkk2NFJQN0I4SkdCUFc3VzRQNDBVQi4u" target="_blank">Ερωτήσεις στις Ρίζες</a></span></p><p><span style="font-family: helvetica;"> </span></p><p><span style="font-family: helvetica;">και μέχρι τότε ...</span></p><p><span style="font-family: helvetica;">αφού κάναμε 10 φορές το γύρο της Γης </span></p><p><span style="font-family: helvetica;">πάμε ξανά Μαζί!!!! <br /></span></p><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="266" src="https://www.youtube.com/embed/TlBS9vt37HY" width="320" youtube-src-id="TlBS9vt37HY"></iframe></div><br /><p><br /></p>Βασίληςhttp://www.blogger.com/profile/08192330940730446249noreply@blogger.com0tag:blogger.com,1999:blog-4980200313074426892.post-9009329145760883702020-09-13T19:44:00.006+03:002020-09-13T19:45:52.848+03:00Διδακτικές Προσεγγίσεις- Αποδεικτικές Μέθοδοι στα Μαθηματικά <p> <!--[if !mso]>
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 5"/>
<w:LsdException Locked="false" Priority="10" QFormat="true" Name="Title"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Closing"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Signature"/>
<w:LsdException Locked="false" Priority="1" SemiHidden="true"
UnhideWhenUsed="true" Name="Default Paragraph Font"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Message Header"/>
<w:LsdException Locked="false" Priority="11" QFormat="true" Name="Subtitle"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Salutation"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Date"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text First Indent"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text First Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Note Heading"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Block Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Hyperlink"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="FollowedHyperlink"/>
<w:LsdException Locked="false" Priority="22" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Document Map"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Plain Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="E-mail Signature"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Top of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Bottom of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal (Web)"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Acronym"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Address"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Cite"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Code"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Definition"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Keyboard"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Preformatted"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Sample"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Typewriter"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Variable"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal Table"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="annotation subject"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="No List"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Contemporary"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Elegant"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Professional"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Balloon Text"/>
<w:LsdException Locked="false" Priority="39" Name="Table Grid"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Theme"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Placeholder Text"/>
<w:LsdException Locked="false" Priority="1" QFormat="true" Name="No Spacing"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading"/>
<w:LsdException Locked="false" Priority="61" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 1"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" QFormat="true"
Name="List Paragraph"/>
<w:LsdException Locked="false" Priority="29" QFormat="true" Name="Quote"/>
<w:LsdException Locked="false" Priority="30" QFormat="true"
Name="Intense Quote"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 1"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 1"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 1"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 1"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 1"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 1"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 1"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 2"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 2"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 2"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 2"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 2"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 2"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 2"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 2"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 2"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 2"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 3"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 3"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 3"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 3"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 3"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 3"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 3"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 3"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 3"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 3"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 3"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 3"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 3"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 4"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 4"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 4"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 4"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 4"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 4"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 4"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 4"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 4"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 4"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 4"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 4"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 4"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 4"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 5"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 5"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 5"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 5"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 5"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 5"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 5"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 5"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 5"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 5"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 5"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 5"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" QFormat="true"
Name="Subtle Emphasis"/>
<w:LsdException Locked="false" Priority="21" QFormat="true"
Name="Intense Emphasis"/>
<w:LsdException Locked="false" Priority="31" QFormat="true"
Name="Subtle Reference"/>
<w:LsdException Locked="false" Priority="32" QFormat="true"
Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" SemiHidden="true"
UnhideWhenUsed="true" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/>
<w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
<w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
<w:LsdException Locked="false" Priority="43" Name="Plain Table 3"/>
<w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/>
<w:LsdException Locked="false" Priority="45" Name="Plain Table 5"/>
<w:LsdException Locked="false" Priority="40" Name="Grid Table Light"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 4"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 5"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 5"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 5"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 5"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 5"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 6"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 6"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 6"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 6"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 6"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="46" Name="List Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="List Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="List Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 1"/>
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<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 1"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" QFormat="true"
Name="List Paragraph"/>
<w:LsdException Locked="false" Priority="29" QFormat="true" Name="Quote"/>
<w:LsdException Locked="false" Priority="30" QFormat="true"
Name="Intense Quote"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 1"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 1"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 1"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 1"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 1"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 1"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 1"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 2"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 2"/>
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<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 2"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 2"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 2"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 2"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 2"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 2"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 2"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 3"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 3"/>
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<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 3"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 3"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 3"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 3"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 3"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 3"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 3"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 3"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 3"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 3"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 4"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 4"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 4"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 4"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 4"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 4"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 4"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 4"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 4"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 4"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 4"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 4"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 4"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 4"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 5"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 5"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 5"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 5"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 5"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 5"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 5"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 5"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 5"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 5"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 5"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 5"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" QFormat="true"
Name="Subtle Emphasis"/>
<w:LsdException Locked="false" Priority="21" QFormat="true"
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<w:LsdException Locked="false" Priority="31" QFormat="true"
Name="Subtle Reference"/>
<w:LsdException Locked="false" Priority="32" QFormat="true"
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<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" SemiHidden="true"
UnhideWhenUsed="true" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/>
<w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
<w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
<w:LsdException Locked="false" Priority="43" Name="Plain Table 3"/>
<w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/>
<w:LsdException Locked="false" Priority="45" Name="Plain Table 5"/>
<w:LsdException Locked="false" Priority="40" Name="Grid Table Light"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
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<w:LsdException Locked="false" Priority="46"
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<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52"
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<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 5"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 5"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 5"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 5"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 5"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="46"
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<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 6"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 6"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 6"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 6"/>
<w:LsdException Locked="false" Priority="51"
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<w:LsdException Locked="false" Priority="52"
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<w:LsdException Locked="false" Priority="46" Name="List Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="List Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="List Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
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<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
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<w:LsdException Locked="false" Priority="46"
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<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52"
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<w:LsdException Locked="false" Priority="46"
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<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 5"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 5"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 5"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 5"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 6"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 6"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 6"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 6"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 6"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Mention"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Smart Hyperlink"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Hashtag"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Unresolved Mention"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Smart Link"/>
</w:LatentStyles>
</xml><![endif]--><!--[if gte mso 10]>
<style>
/* Style Definitions */
table.MsoNormalTable
{mso-style-name:"Κανονικός πίνακας";
mso-tstyle-rowband-size:0;
mso-tstyle-colband-size:0;
mso-style-noshow:yes;
mso-style-priority:99;
mso-style-parent:"";
mso-padding-alt:0cm 5.4pt 0cm 5.4pt;
mso-para-margin-top:0cm;
mso-para-margin-right:0cm;
mso-para-margin-bottom:8.0pt;
mso-para-margin-left:0cm;
line-height:107%;
mso-pagination:widow-orphan;
font-size:11.0pt;
font-family:"Calibri",sans-serif;
mso-ascii-font-family:Calibri;
mso-ascii-theme-font:minor-latin;
mso-hansi-font-family:Calibri;
mso-hansi-theme-font:minor-latin;
mso-bidi-font-family:"Times New Roman";
mso-bidi-theme-font:minor-bidi;
mso-fareast-language:EN-US;}
</style>
<![endif]--></span>Το κείμενο
αποτελεί μια εισαγωγή στη Μαθηματική Λογική και απευθύνεται <span style="mso-spacerun: yes;"> </span>στους μικρούς μας μαθητές της Α΄ Λυκείου που
κάνουν τα πρώτα τους ουσιαστικά θεωρητικά βήματα στο μαγικό κόσμο των Μαθηματικών. </span></p><p class="MsoListParagraph"><span style="font-family: "Cambria Math",serif; font-size: 14.0pt; line-height: 107%; mso-bidi-font-family: "Cambria Math";"> </span></p>
<p class="MsoListParagraph" style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-CMQGNZor0Oc/X15MUbP1T7I/AAAAAAAAWgY/UZKOp1CoPz4gmo02d8xcdBodJJBZPTGVgCLcBGAsYHQ/s2048/%25CE%2591%25CF%2580%25CE%25BF%25CE%25B4%25CE%25B5%25CE%25B9%25CE%25BA%25CF%2584%25CE%25B9%25CE%25BA%25CE%25AD%25CF%2582%2B%25CE%259C%25CE%25AD%25CE%25B8%25CE%25BF%25CE%25B4%25CE%25BF%25CE%25B9%2B%25CF%2583%25CF%2584%25CE%25B1%2B%25CE%259C%25CE%25B1%25CE%25B8%25CE%25B7%25CE%25BC%25CE%25B1%25CF%2584%25CE%25B9%25CE%25BA%25CE%25AC_Page_1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="2048" data-original-width="1448" height="400" src="https://1.bp.blogspot.com/-CMQGNZor0Oc/X15MUbP1T7I/AAAAAAAAWgY/UZKOp1CoPz4gmo02d8xcdBodJJBZPTGVgCLcBGAsYHQ/w283-h400/%25CE%2591%25CF%2580%25CE%25BF%25CE%25B4%25CE%25B5%25CE%25B9%25CE%25BA%25CF%2584%25CE%25B9%25CE%25BA%25CE%25AD%25CF%2582%2B%25CE%259C%25CE%25AD%25CE%25B8%25CE%25BF%25CE%25B4%25CE%25BF%25CE%25B9%2B%25CF%2583%25CF%2584%25CE%25B1%2B%25CE%259C%25CE%25B1%25CE%25B8%25CE%25B7%25CE%25BC%25CE%25B1%25CF%2584%25CE%25B9%25CE%25BA%25CE%25AC_Page_1.jpg" width="283" /></a></div><br /><div class="separator" style="clear: both; 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<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 12.0pt;">Σημείωση για το Θέμα Γ των αποφοίτων που εξετάσθηκαν με το ΠΑΛΑΙΟ σύστημα.</span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 12.0pt;">Ο τύπος για το εμβαδό του ισοσκελούς τριγώνου ΑΒΓ με ΑΒ=ΑΓ, το οποίο είναι
εγγεγραμμένο σε κύκλο κέντρου Ο και ακτίνας 1 δίνεται <b>σε κάθε περίπτωση,
</b>από τον τύπο Ε(θ)=ημθ.(1+συνθ) με το θ να ανήκει στο διάστημα (0,π) </span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></div>
<ul type="disc">
<li class="MsoNormal" style="color: #c00000; line-height: normal; mso-list: l0 level1 lfo1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; tab-stops: list 36.0pt; text-align: justify;"><span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">Είναι
σοβαρό ατόπημα της επιτροπής που δεν ξεκαθάρισε ή ότι το σχήμα που
παραθέτει είναι ενδεικτικό ή ότι αφορά στην περίπτωση που το θ ανήκει στο
διάστημα (0,π/2) και η λύση που ζητάει από τους υποψηφίους, αναφέρεται
μόνο στην περίπτωση αυτή. Θα μπορούσε κάλλιστα να δίνει ότι θ ανήκει στο διάστημα
(0,π/2) . </span><span style="font-family: "times new roman" , serif; font-size: 12.0pt;"></span></li>
<li class="MsoNormal" style="color: #c00000; line-height: normal; mso-list: l0 level1 lfo1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; tab-stops: list 36.0pt; text-align: justify;"><span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">Είναι
επίσης σοβαρό ατόπημα σε όσους λύνουν τα θέματα, οι παρόντες εδώ
εξαιρούνται, το λέω και το εννοώ, να σφυρίζουν αδιάφορα, λύνοντας το
σχετικό θέμα με την παραδοχή το θ ανήκει στο (0,π/2) και να
ισχυρίζονται μάλιστα ότι είναι λάθος(!!!!) η άσκηση του βιβλίου και έπρεπε
να πέσει στις εξετάσεις… για να το αντιληφθούν. <b>Η άσκηση δεν είναι
λάθος,</b> μάλλον λάθος είναι ο τρόπος που την έλυναν μέχρι τώρα οι ίδιοι
ή τα διάφορα «λυσάρια»... Δηλαδή αν κάποιος υποψήφιος το έλυνε σωστά
διακρίνοντας περιπτώσεις…. τόσο το χειρότερο για αυτόν… θα έχανε (άσκοπα)
χρόνο;;;;; </span><span style="font-family: "times new roman" , serif; font-size: 12.0pt;"></span></li>
<li class="MsoNormal" style="color: #c00000; line-height: normal; mso-list: l0 level1 lfo1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; tab-stops: list 36.0pt; text-align: justify;"><span style="font-family: "arial" , sans-serif; font-size: 12.0pt;">Το
γεγονός ότι πολλοί αξιόλογοι συνάδελφοι έχουν συμπεριλάβει την άσκηση σε
βιβλία τους, με την υποσημείωση ότι το θ ανήκει στο (0,π/2)_ γιατί με
αυτόν τον τρόπο επιθυμούν να διαπραγματευτούν το συγκεκριμένο θέμα_
δεν μας απαλλάσσει από την <b>υποχρέωση, </b> όταν λύνουμε τα θέματα
που ζητούνται από την επιτροπή και απευθύνονται στους μαθητές μας, να τα
λύνουμε με την επιστημονική αυστηρότητα και ακρίβεια που επιβάλλει η
Μαθηματική μας παράδοση. </span><span style="font-family: "times new roman" , serif; font-size: 12.0pt;"></span></li>
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Βασίληςhttp://www.blogger.com/profile/08192330940730446249noreply@blogger.com0tag:blogger.com,1999:blog-4980200313074426892.post-52523990706201535522020-06-17T15:38:00.000+03:002020-06-22T19:59:57.281+03:00ΜΑΘΗΜΑΤΙΚΑ ΠΡΟΣΑΝΑΤΟΛΙΣΜΟΥ 2020 ΝΕΟ ΣΥΣΤΗΜΑ ΕΚΦΩΝΗΣΕΙΣ ΑΠΑΝΤΗΣΕΙΣ <div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="font-size: small;"><a href="http://www.hms.gr/?q=node/1675" target="_blank">το σχόλιο της Ελληνικής Μαθηματικής Εταιρείας για τα θέματα</a></span></span><br />
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<div class="MsoNormal" style="line-height: normal; text-align: left;">
<br />
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Μια διαφορετική άποψη για τα Θέματα των Μαθηματικών Προσανατολισμού 2020. </span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Η θέση που ο καθένας μας παίρνει απέναντι στην κριτική των θεμάτων, γενικά </span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Δεν πρέπει να έχει σχέση, ούτε με το πώς έγραψαν οι μαθητές μας, ούτε με
την πολιτική μας τοποθέτηση, ούτε με τις προσωπικές μας προτιμήσεις πάνω στα
Μαθηματικά του Λυκείου. </span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Το κριτήριο (πρέπει να) είναι, ένα και μοναδικό:</span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Προάγουν την Μαθηματική Επιστήμη αυτά τα θέματα;</span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Κάνουν ελκυστική για έναν έφηβο, την ενασχόληση του με τα Μαθηματικά;</span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Διαχωρίζουν την αποστήθιση και την άκρατη μεθοδολογία από την κριτική
Μαθηματική και Διαλεκτική Σκέψη;</span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Προετοιμάζουν σημερινό υποψήφιο και αυριανό φοιτητή για τις Μαθηματικές
προκλήσεις που τον περιμένουν στις Σχολές του Πολυτεχνείου και στα τμήματα
Μαθηματικών και Φυσικών των διαφόρων Πανεπιστημίων;</span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Λειτουργούν διορθωτικά και απελευθερωτικά, για την ενίσχυση του έργου του
Μαχόμενου Εκπαιδευτικού Μαθηματικού; </span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Και βέβαια πάντα υπάρχει το θεμελιακό ερώτημα:</span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Μπορεί τα θέματα να διαφοροποιούνται από τη γενικότερη αντίληψη των
ιθυνόντων του Υπουργείου και του Π.Ι. για το είδους της Μαθηματικής Παιδείας
που έχει ανάγκη η Πατρίδα μας;</span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Δυστυχώς (και) τα θέματα υπηρετούν και ενισχύουν τη γενικότερη υποβάθμιση
των Μαθηματικών στο Λύκειο που συντελείται τα τελευταία χρόνια.</span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">(Και για αυτό βέβαια έχουν και έχουμε ευθύνη όλοι.</span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Ιδιαίτερα όσοι από εμάς </span></div>
<ul style="text-align: left;">
<li><span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Δεν εστιάζουμε στη Μαθηματική Λογική στα εισαγωγικά μαθήματα της Α Λυκείου</span></li>
</ul>
<ul style="text-align: left;">
<li><span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Δε διδάσκουμε Μαθηματικά Προσανατολισμού στη Β Λυκείου,</span></li>
</ul>
<ul style="text-align: left;">
<li><span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Δε διδάσκουμε Γεωμετρία στη Β Λυκείου</span></li>
</ul>
<ul style="text-align: left;">
<li><span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Ξεκινάμε την προετοιμασία για την Γ Λυκείου, χωρίς οι μαθητές να γνωρίζουν
την εκθετική και τη λογαριθμική συνάρτηση και τις τριγωνομετρικές συναρτήσεις… )</span></li>
</ul>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Έτσι η επιτροπή έφτιαξε ένα πρόχειρο δοκίμιο, με απλά θέματα, συρραφή
όμοιων θεμάτων που κυκλοφορούν σε διάφορα βιβλία, </span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">χωρίς καμία διάθεση, ούτε να πρωτοτυπήσει, </span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Ούτε να εξετάσει σε βάθος τις Θεωρητικές Μαθηματικές γνώσεις των υποψηφίων,
με ευχάριστη εξαίρεση το Α4 ε) </span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">(θυμίζω το εξαιρετικό δοκίμιο της περσινής
εξέτασης , όπου για να απαντήσεις σωστά το πρώτο θέμα, έπρεπε να έχεις
μελετήσει και όχι να έχεις αποστηθίσει το σχολικό βιβλίο), </span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">ούτε και να
δοκιμάσει τις πρακτικές και τις δεξιότητες, αντιμετώπισης προβλημάτων και
ασκήσεων, που υπάρχουν σε μεγάλη ποικιλία μέσα στο σχολικό εγχειρίδιο.</span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Τι δείχνει αλήθεια, το να ζητάς τα κρίσιμα σημεία μιας συνάρτησης και <b>να
μην μπορείς</b>, χρησιμοποιώντας, δύο εύκολες συναρτήσεις, να συμπεριλάβεις και
τις δύο περιπτώσεις κρίσιμων σημείων που υπάρχουν;</span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Προχειρότητα; Έλλειψη έμπνευσης; Διάθεση να μην κακοκαρδίσουμε κανέναν; </span><br />
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<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Τι αποκαλύπτει για τον εισηγητή των θεμάτων, όταν ζητάει από τους υποψηφίους
να αποδείξουν ότι η εφαπτομένη ευθεία στο σημείο Α(0,1) σχηματίζει με τον άξονα
</span><span lang="EN-US" style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">x</span><span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">΄</span><span lang="EN-US" style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">x</span><span lang="EN-US" style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;"> </span><span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">γωνία ίση με π/4(;;;) μάλλον
(εννοεί ξανά) </span><span lang="EN-US" style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">rad</span><span lang="EN-US" style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;"> </span><span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">ή μήπως π/4<span style="mso-spacerun: yes;"> </span>μύδια;;;;;;</span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></div>
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το θεωρεί πλεονασμό;;;;; γιατί παρακάτω ζητάει το ρυθμό μεταβολής της τετμημένης
του Β την χρονική στιγμή </span><span lang="EN-US" style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">t</span><sub><span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">0</span></sub><span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;"> όπου το σημείο Μ έχει
τετμημένη ίση με -1, άρα μάλλον πάλι εννοούσε ότι: Ο ρυθμός μεταβολής της τετμημένης
του σημείου Μ δίνεται από τον τύπο α΄(</span><span lang="EN-US" style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">t</span><span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">)=-α(</span><span lang="EN-US" style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">t</span><span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">)/3. «την κάθε χρονική στιγμή»…</span></div>
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<w:LsdException Locked="false" Priority="52"
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<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52"
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<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 5"/>
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Name="List Table 6 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 6"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 6"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 6"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 6"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 6"/>
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Name="List Table 6 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Mention"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Smart Hyperlink"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Hashtag"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Unresolved Mention"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Smart Link"/>
</w:LatentStyles>
</xml><![endif]--><!--[if gte mso 10]>
<style>
/* Style Definitions */
table.MsoNormalTable
{mso-style-name:"Κανονικός πίνακας";
mso-tstyle-rowband-size:0;
mso-tstyle-colband-size:0;
mso-style-noshow:yes;
mso-style-priority:99;
mso-style-parent:"";
mso-padding-alt:0cm 5.4pt 0cm 5.4pt;
mso-para-margin-top:0cm;
mso-para-margin-right:0cm;
mso-para-margin-bottom:8.0pt;
mso-para-margin-left:0cm;
line-height:107%;
mso-pagination:widow-orphan;
font-size:11.0pt;
font-family:"Calibri",sans-serif;
mso-ascii-font-family:Calibri;
mso-ascii-theme-font:minor-latin;
mso-hansi-font-family:Calibri;
mso-hansi-theme-font:minor-latin;
mso-bidi-font-family:"Times New Roman";
mso-bidi-theme-font:minor-bidi;
mso-fareast-language:EN-US;}
</style>
<![endif]--></span>
</span><br />
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<br />
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Είναι επίσημο εξεταστικό δοκίμιο, Πανελλαδικών Εξετάσεων, το οποίο
συντάσσεται από Επιστήμονες Μαθηματικούς!!! Δεν επιτρέπεται καμία αβλεψία,
κανένα σκοτεινό σημείο, κανένα περιθώριο παρερμηνείας.</span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></div>
</div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Τι δείχνει αλήθεια το διατυπώνεις έναν ισχυρισμό (για μία ακόμα φορά ψευδή!!!!
Δεν υπάρχουν, άραγε, αληθείς ισχυρισμοί μέσα στο σχολικό βιβλίο;;;;;!!!) και να
μην αναφέρεις ότι η παράγωγος είναι θετική για κάθε </span><span lang="EN-US" style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">x</span><span lang="EN-US" style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;"> </span><span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">στο </span><span lang="EN-US" style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">IR</span><span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">; Υπονοείται, «ποιητική αδεία»; </span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Γιατί αν δεν υπονοείται έχουμε απαντήσει όλοι λάθος!!!! </span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Ναι αλλά εμείς στα Μαθηματικά ξέρουμε και επιμένουμε στη διδασκαλία μας,
ότι: «ό,τι δεν λέγεται ΔΕΝ εννοείται».</span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Έτσι καταλήγοντας πρόκειται για </span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Εύκολα θέματα, </span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">(όχι και «πιο απαιτητικά από τα περσινά!!!!» έλεος, </span></div>
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<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">ζούμε
στον ίδιο Μαθηματικό πλανήτη;)</span><br />
<br />
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</span><br />
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Με πολύ κακή διατύπωση, σε μερικά σημεία προϋπέθετε ότι θα καταλάβουν μόνοι
τους οι υποψήφιοι τι εννοεί ο «ποιητής», στα όρια της γλωσσικής ανεπάρκειας και
βέβαια καθόλου «ποιητικά»…</span></div>
</div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Προσαρμοσμένα στις ειδικές φετινές συνθήκες, (που ήταν δύσκολες για όλους,
αλλά και που ανέδειξαν μια δυναμική των Επιστημόνων του χώρου μας, άμεσης
προσαρμογής στις νέες συνθήκες και συνέχισης του εκπαιδευτικού έργου πέρα και
πάνω από οποιαδήποτε δυσκολία, στο οποίο σημειωτέον είχαν ελεύθερη πρόσβαση <b>όλα</b>
τα παιδιά που επιθυμούσαν…).</span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Εμφανώς άλλης φιλοσοφίας λοιπόν και ….άλλης επιτροπής.</span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Είναι θέματα που απευθύνονται στο μέσο μαθητή… </span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Που δυστυχώς, αντιμετωπίζει τα Μαθηματικά με τον τρόπο που του έχουν
επιβάλλει: </span></div>
<ul style="text-align: left;">
<li><span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">είτε το σφιχτό «φροντιστηριακό» πρόγραμμα των 4,5 ή 5 ωρών την
εβδομάδα, γεμάτο με «κόλπα» και τεχνάσματα αναπαραγωγής «μεθοδολογιών», </span></li>
<li><span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">είτε το
αντιπαιδαγωγικό και επικίνδυνο εφεύρημα, κενού περιεχομένου, διαφόρων περιπλανώμενων
μάγων, περίπου «μαθηματικών» (πολιτικών υπομηχανικών, υπαλλήλων τραπεζών, υπουργείων,
δήμων κ.α. ) που ασχολούνται ήδη από την Γ Γυμνασίου!!! Μόνο με τα Μαθηματικά της
Γ Λυκείου!!!, τα οποία <span style="mso-spacerun: yes;"> </span>μάλιστα, τα ολοκληρώνουν
στο τέλος της Α Λυκείου!!!!, </span></li>
<li><span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">είτε με το ανεκδιήγητο πρόγραμμα των 4 «εντατικών»
ωρών, των «ιδιαιτεράδων» περιωπής, που μονίμως «πιάνουν» τα θέματα… </span></li>
</ul>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Και όλα αυτά, σε αντίθεση αγεφύρωτη, όχι μόνο με τις πραγματικές ανάγκες
των μαθητών, αλλά και με τις 7 ώρες!!!! που διατίθενται για την Γ Λυκείου,
από το εγκεκριμένο ωρολόγιο πρόγραμμα του Υπουργείου.</span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Τελειώνοντας </span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></div>
<ul style="text-align: left;">
<li><span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Για πρώτη φορά μετά από πολλά χρόνια ένας καλά προετοιμασμένος μαθητής, που
σέβεται τον εαυτό του και αφιερώνει στα Μαθηματικά τον απαιτούμενο χρόνο
μελέτης, σε όλες τις τάξεις του Λυκείου, έφτανε στο άριστα σε δύο ώρες.</span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></li>
</ul>
<ul style="text-align: left;">
<li><span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Το ότι άλλαξε η επιτροπή και η φιλοσοφία της φαίνεται και από τα θέματα των
αποφοίτων </span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></li>
</ul>
<ul style="text-align: left;">
<li><span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Απολύτως καμία σχέση με τα περσινά, σίγουρα όμως καλύτερα από τα θέματα του
Νέου συστήματος… </span></li>
</ul>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Μπορούσε να κάνει πράγματα η επιτροπή; <span style="mso-spacerun: yes;"> </span>Με δεδομένες τις ιδιαίτερες συνθήκες που
επικράτησαν φέτος, και να λειτουργήσει τροχιοδεικτικά; </span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Εννοείται πως ναι. Αρκεί να αντιληφθούμε όλοι ότι οι εξετάσεις είναι ένας διαγωνισμός
κάλυψης θέσεων, και αυτό που μας ενδιαφέρει είναι να επιλεγούν οι καλύτεροι για
τις συγκεκριμένες αυτές θέσεις. </span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span style="color: #c00000; font-family: "arial" , sans-serif; font-size: 14.0pt;">Ας γίνει η συζήτηση αυτή, μια αφορμή, ώστε να κινητοποιηθούν οι εξαιρετικοί
Συνάδελφοι του χώρου, που βρίσκονται κοντά στα κέντρα των αποφάσεων, ώστε να σταματήσει
η υποβάθμιση του τόσο απαραίτητου αλλά και τόσο ξεχωριστού μαθήματος στο Λύκειο
και να χαραχθεί μια νέα Μαθηματική Πορεία για το Ελληνικό Σχολείο του 21<sup>ου</sup>
αιώνα. </span><span style="color: #c00000; font-family: "times new roman" , serif; font-size: 12.0pt;"></span></div>
<div style="text-align: left;">
<br /></div>
</div>
</div>
Βασίληςhttp://www.blogger.com/profile/08192330940730446249noreply@blogger.com0tag:blogger.com,1999:blog-4980200313074426892.post-47481984910533487852020-06-10T19:12:00.004+03:002020-06-14T14:55:57.650+03:0043o Γενικό Διαγώνισμα στα Μαθηματικά. Εκφωνήσεις - Απαντήσεις <div dir="ltr" style="text-align: left;" trbidi="on">
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<br />
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<br />
<div class="MsoNormal" style="line-height: normal;">
<b><span style="color: #c00000; font-family: "helvetica" , sans-serif; font-size: 12pt; letter-spacing: 1pt;">Το διαγώνισμα αυτό αφιερώνεται σε όλους τους
εξαίρετους Συναδέλφους Μαθηματικούς που το προηγούμενο διάστημα
συναντήθηκαν οι τροχιές μας. </span></b></div>
<div class="MsoNormal" style="line-height: normal;">
<b><span style="color: #c00000; font-family: "helvetica" , sans-serif; font-size: 12pt; letter-spacing: 1pt;">Ένα μικρό αντίδωρο της έμπνευσης και της
μοιρασμένης δημιουργίας που κοινωνήσαμε όλοι.</span></b></div>
<div class="MsoNormal" style="line-height: normal;">
<br /></div>
<div class="MsoNormal" style="line-height: normal;">
<b><span style="color: #c00000; font-family: "helvetica" , sans-serif; font-size: 12pt; letter-spacing: 1pt;">Hasta Siempre!!!</span></b></div>
<div class="MsoNormal" style="line-height: normal;">
<br /></div>
<div class="MsoNormal" style="line-height: normal;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; text-align: center;">
<b><span style="color: #c00000; font-family: "helvetica" , sans-serif; font-size: 12pt; letter-spacing: 1pt;"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/oE82Zmpt_sU" width="420"></iframe> </span></b><br />
<br />
<br />
<br />
<div class="MsoNormal" style="line-height: normal; text-align: left;">
<span lang="EN-US" style="color: #c00000; font-family: "helvetica" , sans-serif; font-size: 12pt;">P.S.</span><span style="color: #c00000; font-family: "helvetica" , sans-serif; font-size: 12pt;"></span></div>
<ul style="text-align: left;" type="disc">
<li class="MsoNormal" style="color: #c00000; line-height: normal;"><b><span style="font-family: "helvetica" , sans-serif; font-size: 12pt; letter-spacing: 1pt;">τα
σχήματα, οι μαθηματικοί, οφείλουμε να τα κάνουμε σε ορθοκανονικό σύστημα,
είτε τα κάνουμε πρόχειρα με το χέρι, είτε σε κάποιο πρόγραμμα, σε αντίθετη
περίπτωση αποκαλύπτεται η γενικότερη κακογουστιά μας. </span></b><span style="font-family: "helvetica" , sans-serif; font-size: 12pt;"></span></li>
<li class="MsoNormal" style="color: #c00000; line-height: normal;"><b><span style="font-family: "helvetica" , sans-serif; font-size: 12pt; letter-spacing: 1pt;">Τα λάθη
μας, οι μαθηματικοί <u>δεν</u> προσπαθούμε να τα κουκουλώσουμε σαν τις
ακαθαρσίες της γάτας, αλλά τα παραδεχόμαστε στο ίδιο ακριβώς ακροατήριο
που εκτεθήκαμε, και με τον ίδιο πομπώδη τρόπο που απολαμβάνουμε τα εύπεπτα
</span></b><b><span lang="EN-US" style="font-family: "helvetica" , sans-serif; font-size: 12pt; letter-spacing: 1pt;">like</span></b><b><span style="font-family: "helvetica" , sans-serif; font-size: 12pt; letter-spacing: 1pt;"> (στα λάθη μας;;;
Έλεος!!!) με παρρησία και θάρρος και να μαθαίνουμε από αυτά,
ευχαριστώντας όσους συναδέλφους είχαν την καλή διάθεση να μας τα
υποδείξουν και να μας βοηθήσουν να γίνουμε καλύτεροι.</span></b><span style="font-family: "helvetica" , sans-serif; font-size: 12pt;"></span></li>
<li class="MsoNormal" style="color: #c00000; line-height: normal;"><b><span style="font-family: "helvetica" , sans-serif; font-size: 12pt; letter-spacing: 1pt;">Και να
θυμίσω στους λάτρεις της γλοιώδους ασάφειας ότι… Μαθαίνω γρήγορα και ΔΕΝ
ΞΕΧΝΑΩ ΠΟΤΕ!!!</span></b><span style="font-family: "helvetica" , sans-serif; font-size: 12pt;"></span></li>
</ul>
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Name="endnote text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="table of authorities"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="macro"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="toa heading"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 5"/>
<w:LsdException Locked="false" Priority="10" QFormat="true" Name="Title"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Closing"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Signature"/>
<w:LsdException Locked="false" Priority="1" SemiHidden="true"
UnhideWhenUsed="true" Name="Default Paragraph Font"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Message Header"/>
<w:LsdException Locked="false" Priority="11" QFormat="true" Name="Subtitle"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Salutation"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Date"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text First Indent"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text First Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Note Heading"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Block Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Hyperlink"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="FollowedHyperlink"/>
<w:LsdException Locked="false" Priority="22" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Document Map"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Plain Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="E-mail Signature"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Top of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Bottom of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal (Web)"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Acronym"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Address"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Cite"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Code"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Definition"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Keyboard"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Preformatted"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Sample"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Typewriter"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Variable"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal Table"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="annotation subject"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="No List"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Contemporary"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Elegant"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Professional"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Balloon Text"/>
<w:LsdException Locked="false" Priority="39" Name="Table Grid"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" Name="Placeholder Text"/>
<w:LsdException Locked="false" Priority="1" QFormat="true" Name="No Spacing"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading"/>
<w:LsdException Locked="false" Priority="61" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 1"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" QFormat="true"
Name="List Paragraph"/>
<w:LsdException Locked="false" Priority="29" QFormat="true" Name="Quote"/>
<w:LsdException Locked="false" Priority="30" QFormat="true"
Name="Intense Quote"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 1"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 1"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 1"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 1"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 1"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 1"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 1"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 2"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 2"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 2"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 2"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 2"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 2"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 2"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 2"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 2"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 2"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 3"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 3"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 3"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 3"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 3"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 3"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 3"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 3"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 3"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 3"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 3"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 3"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 3"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 4"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 4"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 4"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 4"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 4"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 4"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 4"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 4"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 4"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 4"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 4"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 4"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 4"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 4"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 5"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 5"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 5"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 5"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 5"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 5"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 5"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 5"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 5"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 5"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 5"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 5"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" QFormat="true"
Name="Subtle Emphasis"/>
<w:LsdException Locked="false" Priority="21" QFormat="true"
Name="Intense Emphasis"/>
<w:LsdException Locked="false" Priority="31" QFormat="true"
Name="Subtle Reference"/>
<w:LsdException Locked="false" Priority="32" QFormat="true"
Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" SemiHidden="true"
UnhideWhenUsed="true" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/>
<w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
<w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
<w:LsdException Locked="false" Priority="43" Name="Plain Table 3"/>
<w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/>
<w:LsdException Locked="false" Priority="45" Name="Plain Table 5"/>
<w:LsdException Locked="false" Priority="40" Name="Grid Table Light"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 4"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 5"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 5"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 5"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 5"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 5"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 6"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 6"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 6"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 6"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 6"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="46" Name="List Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2"/>
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Βασίληςhttp://www.blogger.com/profile/08192330940730446249noreply@blogger.com0