Kodi gulu la algebra ndi chiyani?
Kodi gulu la algebra ndi chiyani?
Anonim

Mu masamu, a gulu ndi seti yokhala ndi magwiridwe antchito a binary omwe amaphatikiza zinthu ziwiri zilizonse kupanga chinthu chachitatu mwanjira yomwe mikhalidwe inayi imatchedwa. gulu axioms amakhutitsidwa, ndiko kutseka, kuyanjana, kudziwika ndi kusasinthika. Magulu kugawana ubale wofunikira ndi lingaliro la symmetry.

Pankhani iyi, gulu ndi katundu wake ndi chiyani?

A gulu ndi zinthu zopanda malire kapena zopanda malire pamodzi ndi ntchito ya binary (yotchedwa the gulu operation) zomwe pamodzi zimakwaniritsa zofunikira zinayi katundu kutseka, kuyanjana, kudziwika katundu, ndi inverse katundu.

Kachiwiri, magulu mu abstract algebra ndi chiyani? Tanthauzo. A gulu (G, ·) ndi seti yopanda kanthu G pamodzi ndi machitidwe a binary · pa G kotero kuti zinthu zotsatirazi zichitike: (i) Kutseka: Kwa onse a, b G element a · b ndi chinthu chodziwika bwino cha G. (ii) Kuyanjana: Kwa onse a, b, c G, tili nawo. a · (b · c) = (a · b) · c.

Komanso kudziwa, KODI gulu liti mu linear algebra?

Mu masamu, a linear algebraic gulu ndi kagulu kakang'ono ka gulu a invertible n×n matrices (pansi matrix kuchulukitsa) komwe kumatanthauzidwa ndi ma equation a polynomial. Ambiri Amanama magulu akhoza kuwonedwa ngati magulu a algebraic linear pamunda wa manambala enieni kapena ovuta.

Nchiyani chimapangitsa gulu kukhala gulu?

A gulu ndi gulu la anthu amene ali ndi maunansi amene amawapangitsa kukhala odalirana pamlingo wina wake waukulu. Monga tafotokozera, mawuwo gulu amatanthauza gulu la mabungwe omwe ali ndi zinthu zodalirana pakati pa mamembala awo.

Yotchuka ndi mutu