FAZODA CHIZIQ VA TEKISLIK KESISHISHINING UMUMIY ANALITIK MODELI

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Issue: Vol. 3 No. 46 : Young scientists
Section: Maqolalar
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Matematika yo’nalishi 1- kurs talabasi
info@in-academy.uz
Ilmiy maslahatchi: Matematika kafedrasi katta o’qituvchisi Namangan davlat universiteti, O’zbekiston
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Abstract:

Ushbu maqolada fazoviy chiziq va tekislik o‘rtasidagi kesishish jarayonini aniqlashning umumiy analitik modeli ishlab chiqildi. Taklif etilgan yondashuv vektorlar, skalyar ko‘paytmalar, aralash ko‘paytmalar va determinantlar orqali chiziq parametrining aniq topilishini ta’minlaydi. Kesishish parametrining invariant shaklda ifodalanishi modelning affinning o‘zgarishlariga nisbatan barqarorligini oshiradi. Tadqiqot jarayonida mualliflik teoremasi isbotlandi: chiziqning tekislik bilan kesishish nuqtasi chiziq boshlang‘ich nuqtasining tekislik normaliga proyeksiyasi orqali aniqlanadi. Natijalar 3D grafika, robototexnika, geodeziya, optika, fizik modellashtirish va kosmik navigatsiyada qo‘llanilishi mumkin bo‘lgan yuqori aniqlikdagi hisoblash modelini yaratdi.

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How to Cite:

Olimova , M. ., & Maxmudova, D. (2025). FAZODA CHIZIQ VA TEKISLIK KESISHISHINING UMUMIY ANALITIK MODELI. Young Scientists, 3(46), 44–48. Retrieved from https://in-academy.uz/index.php/yo/article/view/66132

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