Mobius muaj nuj nqi yog dab tsi?

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Mobius muaj nuj nqi yog dab tsi?
Mobius muaj nuj nqi yog dab tsi?

Video: Mobius muaj nuj nqi yog dab tsi?

Video: Mobius muaj nuj nqi yog dab tsi?
Video: Tsis Muaj Ntxiv Lawm [(kuv hmoov phem los koj siab phem part 2)]-LOKY f.t RC Hmong. 2024, Lub peb hlis ntuj
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Möbius muaj nuj nqi μ(n) yog ib qho tseem ceeb ntawm kev ua haujlwm ntau hauv cov lej kev xav tau qhia los ntawm German mathematician August Ferdinand Möbius hauv xyoo 1832. Nws yog ubiquitous hauv elementary thiab analytic tooj txoj kev xav thiab feem ntau tshwm sim raws li ib feem ntawm nws lub npe. Möbius inversion formula.

Möbius ua haujlwm li cas?

Lub Möbius muaj nuj nqi yog an arithmetic function of a natural number argument n with μ(1)=1, μ(n)=0 if n is divisible by the square of a prime number, txwv tsis pub μ(n)=(−1)k, qhov twg k yog tus naj npawb ntawm cov tseem ceeb ntawm n. Txoj haujlwm no tau qhia los ntawm A. Möbius hauv xyoo 1832.

Vim li cas peb thiaj xav tau Möbius muaj nuj nqi?

Tom qab Euler txoj haujlwm totient, Möbius muaj nuj nqi (npe tom qab Möbius ntawm lub koob meej) yog ib qho tseem ceeb tshaj plaws ntawm cov kev xav ntawm tus lej. Nws tso cai rau peb hloov pauv qee tus lej-kev sib raug zoo.

Möbius theorem yog dab tsi?

In combinatorics: Möbius inversion theorem. Nyob rau hauv 1832 tus German astronomer thiab mathematician Lub yim hli ntuj Ferdinand Möbius ua pov thawj tias, if f thiab g yog lub luag haujlwm tau hais tseg rau ntawm cov lej zoo, xws li f ntsuas ntawm x yog cov txiaj ntsig ntawm g. ntsuam xyuas ntawm divisors ntawm…

Vim li cas Möbius muaj nuj nqi ntau ntxiv?

Lub Mobius muaj nuj nqi μ(n) yog ntau yam. Cia m thiab n yog ob tus lej tseem ceeb. Peb yuav tsum ua pov thawj tias μ(mn)=μ(m) μ(n). Yog tias m=n=1, ces qhov sib npaug tuav.

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