Malumoti ohirin
Home / Ilm / MUQOISA

MUQOISA

mukoisa-mathMUQOISA dar matematika, tanosubi adadhoi butuni a va b-ro guyand, ki ba adadi butuni dodashudai t (moduli M.) taqsim shudani farqi in adadho (b-a)-ro ifoda mekunad; chunin navishta meshavad: a=b (mod m). Mas., 2=8 (mod 3), zero 2—8 ba E taqsim meshavad. Muqoisa doroi khosiyathoi ziyodest, ki ba khosiyathoi barobari monand meboshand. Masalan, jamshavandai yak tarafi Muqoisaro bo alomati baraks ba tarafi digar guzarondan mumkin ast, yane az a + = s (mod t) barmeoyad, ki a = s—b ( mod m), Muqoisahoi doroi hamon yak modulro jam, tarh va zarb kar­dan mumkin ast, yane az a=b (mod t) va s = d (mod t) barmeoyad, ki  a+s =b+d (mod m), ac= b-d  (mod t), a • s= b•d (mod t). Har du tarafi Muqoisaro ba yak adad zarb va ba taqsimkunandai umumii onho taqsim kardan (agar on va modul adadhoi baynan sodda boshand) mum­kin ast. Agar kalontarin taqsimkunandai umumii adade, ki ba on har du tarafi Muqoisa taqsim meshavad va modul ba adadi A barobar boshand, natijai taqsimkuni Muqoisai doroi mo­duli A meboshad. Dar nazariyai adadho metodhoi halli Muqoisahoi gunogun, yane usulhoi justujui adadhoi butuni in yo on namuda Muqoisaro qone gardonanda mavridi barrasi qaror giriftaast.

Agar adadi kh halli yagon Muqoisai doroi moduli t boshad, har guna adadi namudi kh + kt (k — adadi butun) niz halli in Muqoisa meshavad. Muqoisai tartibi yakumi yaknomalumaro hamesha ba namudi akh= b (mod t) ovardan mumkin ast. Agar b ba kalontarin taqsimkunandai umumii a va td taqsim nashavad, in guna Muqoisa hal nadorad va agar b ba d takqsam shavad Muqoisa halpazir ast. Nazariyai tafriqhoi kvadrati va tafriqhoi darajagi az rui moduli t muvofiqan nazariyai Muqoisahoi namudi kh2 =  a ( mod t) va  kh2 = a (mod t) me­boshand. Mafhumi Muqoisaro baroi adadhoi butun umumiyat dodan, dar borai muqoisashavandagii du elementi halqa az rui  i d e a l sukhan rondan mumkin ast.

Ad.: Vinogradov I. M., Osnovi teorii chisel. M., 1972.

Dar boramon

Инчунин кобед

SATH (dar matematika)

SATH (dar matematika), yake az mafhumoti asosii geometriya ast, ki dar faslhoi mukhtalifi on manohoi …