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ZENODO
Other literature type . 2025
License: CC BY
Data sources: ZENODO
ZENODO
Other literature type . 2025
License: CC BY
Data sources: Datacite
ZENODO
Other literature type . 2025
License: CC BY
Data sources: Datacite
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IKKI TEKISLIK ORASIDAGI BURCHAKNI TOPISHNING ANALITIK IFODASI

descriptionPublicationkeyboard_double_arrow_right Other literature type 20 Nov 2025Publisher:Zenodo
Authors: Turg'unpo'latova, Durdona; Mahmudova, Dilnoza;

doi: 10.5281/zenodo.17656713 , 10.5281/zenodo.17656714

IKKI TEKISLIK ORASIDAGI BURCHAKNI TOPISHNING ANALITIK IFODASI

Abstract

Ushbu maqolada fazoda ikki tekislik orasidagi burchakni aniqlashning analitik yondashuvi normal vektorlar, ularning skalyar ko‘paytmasi va uzunliklari asosida chuqur tahlil qilinadi. Tekislik tenglamalarining koeffitsiyentlari orqali normal vektorlarni aniqlash hamda ular yordamida burchakni topish formulasi matematik asoslangan holda yoritiladi. Tadqiqot davomida tekisliklar burchagining invariant xususiyatlari, koordinata o‘zgarishlariga nisbatan barqarorligi va yangi ilmiy natija - “Tekisliklar yo‘nalish invariantlari teoremasi” isbotlab berilgan. Olingan natijalar analitik geometriya, mexanika, kompyuter grafikasi va fazoviy modellashtirishda qo‘llash uchun muhim nazariy asos yaratadi.

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 0
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green