Dab tsi yog kev siv ntawm Pascal daim duab peb sab?
Dab tsi yog kev siv ntawm Pascal daim duab peb sab?

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Video: Dab tsi yog kev siv ntawm Pascal daim duab peb sab?
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Pascal's Triangle yog ntau tshaj qhov loj xwb daim duab peb sab ntawm tus lej. Muaj ob qhov chaw loj nyob qhov twg Pascal's Triangle yog siv , hauv Algebra thiab inProbability / Combinatorics. Cia peb hais tias koj muaj lub polynomial x + 1, thiab koj xav tsa nws mus rau qee lub zog, xws li 1, 2, 3, 4, 5,.

Tsis tas li ntawd, Pascal's Triangle ua haujlwm li cas?

Ntawm qhov kawg ntawm Pascal's Triangle yog tus naj npawb 1, uas ua rau zeroth kab. Thawj kab (1 & 1) muaj ob 1's, ob qho tib si tsim los ntawm kev ntxiv ob tus lej saum toj no rau sab laug thiab sab xis, qhov no 1 thiab 0 (txhua tus lej sab nraud. Daim duab peb sab yog 0's). Ua li no, cov kab ntawm cov daim duab peb sab mus infinitly.

Ib yam li ntawd, Pascal daim duab peb sab cuam tshuam li cas rau kev sib txuas? Kev sib xyaw ua ke tej zaum yuav muaj repetition los yog norepetition. Cov ntawv hauv Pascal daim duab peb sab yog tus naj npawb ntawm kev sib xyaws ntawm N coj n qhov twg N yog tus lej pib nrog N = 0 rau kab saum toj kawg nkaus thiab n yog tus lej nth hauv kab suav los ntawm sab laug mus rau sab xis qhov twg n = 0 tus lej yog thawj tus lej.

Ib yam li ntawd, cov hauj lwm twg siv Pascal daim duab peb sab?

Hnub no, pascal s daim duab peb sab feem ntau yog siv los ntawm cov neeg tsim qauv txhawm rau kom tau txais cov lej nyuaj thiab meej hauv ntau yam ntawm lej, tab sis feem ntau yog siv hauv algebra thiab qhov tshwm sim. Cov hauj lwm uas feem ntau siv tus daim duab peb sab yuav bearchitects, graphic designers, nyiaj txiag, mapping, thiab lwm yam.

Fibonacci cov lej siv li cas hauv Pascal Daim duab peb sab?

Cov tus lej ntawm diagonals ntawm lub daim duab peb sab ntxiv rau Fibonacci series , raws li qhia hauv qab no. Pascal's triangle muaj ntau yam khoom txawv txawv thiab ntau yam kev siv: Cov kab kab rov tav sawv cev rau lub zog ntawm 11 (1, 11, 121, 1331, 14641) rau thawj 5 kab, uas tus lej tsuas muaj ib tus lej xwb.

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