EVKLID FAZOSIDA SKALYAR ARGUMENTLI VEKTOR FUNKSIYALARNING DIFFERENSIAL XOSSALARINI OPERATORLI TAHLIL QILISH VA ULARNING TOPOLOGIK INVARIANTLARI
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vektor funksiya, differensial, hosila, gradient, operatorli analiz, topologik invariant, uzluksizlik, differensiallanuvchanlik, Evklid fazosi, limit, Jacobian, differensial operatorlar, funksional analiz, lokal xossa.Abstrak
Ushbu maqolada Evklid fazosida aniqlangan skalyar argumentli vektor funksiyalarning differensial xossalari operatorli yondashuv asosida o‘rganiladi. Muhokama qismida olingan natijalar differensial tenglamalar, fizik modellashtirish va optimallashtirish masalalari bilan bog‘liq holda tahlil qilindi. Xulosa sifatida operatorli yondashuv differensial analizni umumlashtirish va chuqurlashtirish imkonini beruvchi samarali vosita ekanligi asoslandi.
Iqtiboslar
Strang, G. (2006). Linear Algebra and Its Applications. Thomson Brooks/Cole.
Kuratowski, K. (1968). Topology, Volume II. Academic Press.
Dilnoza, M. Use of the Acmelological Approach to Teaching Mathematics. International Journal of Innovative Analyses and Emerging Technology. c-ISSN, 2792-4025.
Abduraxmonova, R., & Mahmudova, D. (2025). Nuqtadan to'g'ri chiziqqacha bo'lgan masofa. Ikki to'g'ri chiziq orasidagi burchak. В theoretical aspects in the formation of pedagogical sciences (Т. 4, Выпуск 7, сс. 74–78). Zenodo. https://doi.org/10.5281/zenodo.15186643
Abdulhayeva, G., & Mahmudova, D. (2025). Tekislikda to'g'ri chiziq tenglamalari va ularni amaliyotga tadbiqi. В theoretical aspects in the formation of pedagogical sciences (Т. 4, Выпуск 7, сс. 35–40).
Karimberdiyeva , D. ., & Mahmudova , D. . (2025). Tekislikdagi perspektiv-affin moslikning o’ziga xos xususiyatlari. Развитие педагогических технологий в современных науках, 4(3), 114–117.
Ismoilova, D., & Mahmudova, D. (2025). Ko ‘po ‘lchovli yevklid fazosi: o ‘qitish texnologiyasi asosida yondashuv. In Innov. Conf. Published online April (Vol. 17, No. 2025, pp. 1-7).
Abdiqayumov, A., & Maxmudova, D. (2025). Central and parallel projections and their properties. Теоретические аспекты становления педагогических наук, 4(8), 177-184.
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