TO‘PLAMLAR USTIDA BAJARILADIGAN MINKOVSKIY AMALLARINI O‘QITISHNING ZAMONAVIY METODLARI

TO‘PLAMLAR USTIDA BAJARILADIGAN MINKOVSKIY AMALLARINI O‘QITISHNING ZAMONAVIY METODLARI

Authors

  • Jalolxon Nuritdinov Qo‘qon Davlat Pedagogika Instituti o‘qituvchisi
  • Abdug‘affor Tashxodjayev Qo‘qon Universiteti o‘qituvchisi

DOI:

https://doi.org/10.54613/ku.v13i.1052

Keywords:

Minkovskiy yig‘indisi, Minkovskiy ayirmasi, ortogonal proyeksiya, Geogebra, parallel ko‘chirish.

Abstract

Mazkur maqolada Minkovskiy operatorlarining xususiy hollari bo‘lgan to‘plamlar ustida bajariladigan Minkovskiy amallarini o‘qitishda qo‘llaniladigan zamonaviy pedagogik texnologiyalar va innovatsion yondashuvlar muhokama qilinadi. Tadqiqot ishida nazariy tahlil, lokal va nolokal differensial geometriya, qatlamalar topologiyasi, qatlamalar nazariyasi va dinamik sistemalar nazariyasining geometrik hamda topologik usullaridan foydalanilgan. Ushbu maqolada to‘g‘ri chiziqda va tekislikda berilgan to‘plamlarning Minkovskiy yig‘indisi va ayirmasini hisoblashning turli usullari keltiriladi.  Ushbu usullarni talabalarga o‘rgatishda qo‘llanilishi mumkin bo‘lgan metodlar, xususan, axborot texnologiyalaridan foydalanish, vizualizatsiya va interaktiv dasturlar yordamida darslarni boyitish yo‘llari tahlil qilinadi.

Foydalanilgan adabiyotlar:

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M.Sh. Mamatov, J.T. Nuritdinov, Kh.Sh. Turakulov, S.M. Mamazhonov, Geometric properties of the Minkowski operator. Bulletin of the Karaganda University. Mathematics Series, No. 4(116), 2024, pp. 127–137. https://doi.org/10.31489/2024M4/127-137

Published

2024-12-29

Iqtiboslik olish

Nuritdinov, J., & Tashxodjayev, A. (2024). TO‘PLAMLAR USTIDA BAJARILADIGAN MINKOVSKIY AMALLARINI O‘QITISHNING ZAMONAVIY METODLARI. QO‘QON UNIVERSITETI XABARNOMASI, 13, 174–177. https://doi.org/10.54613/ku.v13i.1052

Issue

Section

Pedagogika / Pedagogy
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