PROYEKTIV TEKISLIKDA IKKINCHI TARTIBLI CHIZIQLARNI KLASSIFIKATSIYALASH, ULARNING INVARIANTLARI VA KANONIK KO‘RINISHLARINI ANALITIK TADQIQ ETISH
Keywords:
proyektiv tekislik, ikkinchi tartibli chiziq, konika, invariant, kanonik ko‘rinish, gomogen koordinata, determinant, rang, kvadratik forma, analitik tahlil.Abstract
Ushbu maqolada proyektiv tekislikda ikkinchi tartibli chiziqlarni klassifikatsiyalash, ularning invariantlari va kanonik ko‘rinishlarini analitik jihatdan tadqiq etish masalasi o‘rganiladi. Natijalarda ikkinchi tartibli chiziqlar degeneratsiyalangan va degeneratsiyalanmagan sinflarga ajratiladi, ularning kanonik ko‘rinishlari analitik yo‘l bilan olinadi hamda invariantlarning geometrik mazmuni ochib beriladi. Xulosa sifatida proyektiv tekislikda konikalarni klassifikatsiya qilishda invariantlar eng asosiy analitik mezon ekanligi asoslanadi.
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