Video: Koj ua li cas Fermat's me theorem?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Fermat's me theorem hais tias yog p yog tus lej thawj, ces rau ib tus lej a, tus lej a p - a yog ib qho integer ntau ntawm p. ap ≡ ib (mod p). Tshwj xeeb Case: Yog tsis muab faib los ntawm p, Fermat's me theorem yog sib npaug rau nqe lus hais tias a p-1-1 yog integer ntau ntawm p.
Ua li no, koj ua pov thawj Fermat lub theorem me me li cas?
Cia p ua ib tug thawj thiab ib tug integer, ces ap = a (mod p). Pov thawj. Qhov tshwm sim yog trival (ob tog yog xoom) yog p faib a. Yog tias p tsis faib a, ces peb tsuas yog muab qhov sib xyaw ua ke Fermat's Little Theorem los ntawm kev ua kom tiav cov ntaub ntawv pov thawj.
Kuj Paub, qhov kev daws teeb meem rau Fermat's Last Theorem yog dab tsi? Kev daws rau Fermat's Last Theorem . Fermat's Last Theorem (FLT), (1637), hais tias yog n yog tus lej ntau dua 2, ces nws tsis tuaj yeem nrhiav peb tus lej x, y thiab z qhov twg qhov kev sib txig sib luag tau ntsib yog (x, y)> 0 hauv xn + yn = zn.
Xav txog qhov no, vim li cas Fermat lub theorem me me tseem ceeb?
Fermat's me theorem yog ib qho tseem ceeb theorem nyob rau hauv elementary tooj txoj kev xav, uas pab xam lub hwj chim ntawm integers modulo prime zauv. Nws yog ib rooj plaub tshwj xeeb ntawm Euler's theorem , thiab yog tseem ceeb nyob rau hauv daim ntawv thov ntawm tus lej theem pib, suav nrog kev sim thawj zaug thiab pej xeem-key cryptography.
Euler lub theorem txhais li cas?
Euler's Theorem . Generalization ntawm Fermat's theorem yog lub npe hu ua Euler lub theorem . Feem ntau, Euler lub theorem hais tias, "yog tias p thiab q yog qhov tseem ceeb, ces", qhov twg φ yog Euler tus totient muaj nuj nqi rau integers. Ntawd yog, yog tus naj npawb ntawm cov lej tsis zoo uas tsawg dua q thiab kuj tseem ceeb rau q.
Pom zoo:
Qhov theorem twg zoo tshaj qhia tias vim li cas Kab J thiab K yuav tsum sib npaug?
Lub converse alternate sab nrauv lub kaum sab xis theorem justifies vim li cas kab j thiab k yuav tsum yog parallel. Lub converse alternate sab nrauv lub kaum sab xis theorem hais tias yog hais tias ob kab yog txiav los ntawm ib tug transversal thiaj li alternate sab nrauv ces kaum yog congruent, ces cov kab yog parallel
Lub rational root theorem hais li cas?
Rational root theorem. Lub theorem hais tias txhua qhov kev daws teeb meem x = p / q, sau rau hauv nqe lus qis tshaj kom p thiab q yog tus tseem ceeb, txaus siab: p yog ib qho tseem ceeb ntawm lub sij hawm tas li a0, thiab
Vim li cas cov theorem seem ua haujlwm?
Qhov seem theorem hais tias f(a) yog qhov seem thaum lub polynomial f(x) muab faib los ntawm x - a. Yog li, muab ib tug polynomial, f (x), saib yog hais tias ib tug linear binomial ntawm daim ntawv x - a yog ib feem ntawm lub polynomial, peb daws rau f (a). Yog tias f(a) = 0, ces x - a yog qhov tseem ceeb, thiab x - a tsis yog lwm yam
Vim li cas ho hu ua pob khawm Theorem?
Lub 'suav nrog lub kaum sab xis' yog lub kaum sab xis tsim los ntawm ob sab ntawm daim duab peb sab uas tau hais hauv qhov kev xav no. Qhov kev xav no yog hu ua 'Hinge Theorem' vim nws ua raws li lub hauv paus ntsiab lus ntawm ob sab uas tau piav qhia hauv daim duab peb sab uas yog 'hinged' ntawm lawv cov vertex. (Tej zaum kuj yuav raug hu ua SSS Inequality Theorem.)
Koj pom daim duab peb sab Midsegment Theorem li cas?
Daim duab peb sab Midsegment Theorem hais tias txoj kab ntu txuas rau nruab nrab ntawm ob sab ntawm daim duab peb sab yuav ua rau cov khoom nram qab no: Cov kab ntu yuav sib npaug mus rau sab thib peb. Qhov ntev ntawm kab ntu yuav yog ib nrab ntawm qhov ntev ntawm peb sab