Datoteka:PascalTriangleAnimated2.gif

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PascalTriangleAnimated2.gif ‎(260 × 240 piksela, veličina datoteke: 27 KB, MIME tip: image/gif, stalno iznova, 84 sličice, 12 s)

Sažetak

Opis
English: Pascal's triangle is a geometric arrangement of integers representing the binomial coefficients in a polynominal equation of the format (x + y)n. The formation also demonstrates many other mathematical properties, such as listing the entire set of the natural numbers in the first diagonal rows. This phenomenon is named after Blaise Pascal in the western world, however was studied in detail before his time in many Asian countries.

It is also called the Halayudha's triangle, in honor of the Sanskrit prosody scholar who described it. (See: Alexander Zawaira and Gavin Hitchcock (2008), A Primer for Mathematics Competitions, Oxford University Press, ISBN 978-0-19-156170-2, page 237)

It is alternately referred to as "Khayyam's triangle" after the Persian Omar Khayyám. Each number is the sum of the two directly above it. This animation shows this relation in the construction of the first five rows, however the pattern applies for an infinite range.

This version has the 1 cells already filled in, and includes actual animation to better demonstrate the construction.
Čeština: Animace zobrazuje vytváření Pascalova trojúhelníku.
Datum
Izvor Vlastito djelo
Autor Hersfold on the English Wikipedia
Ostale verzije

Licenciranje

Public domain Ja, vlasnik autorskog prava ovog djela, objavljujem ovaj rad u javno vlasništvo. Ovo se primjenjuje u cijelom svijetu.
U nekim državama ovo zakonski nije moguće; u tom slučaju:
Ja dopuštam svima pravo korištenja ovog rada u bilo koju svrhu, bez ikakvih uslova, osim ako su takvi uslovi zakonski neophodni.

Captions

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Pascal's triangle

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prikazuje

Pascalov trougao

MIME type engleski

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Historija datoteke

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Datum/vrijemeSmanjeni pregledDimenzijeKorisnikKomentar
trenutno20:59, 21 maj 2023Smanjeni pregled verzije na dan 20:59, 21 maj 2023260 × 240 (27 KB)PhreneticcReduced file weight with FileOptimizer in lossless compression mode.
21:45, 2 maj 2012Smanjeni pregled verzije na dan 21:45, 2 maj 2012260 × 240 (28 KB)Dratini0Optimized and fixed with Gimp, because it did not work for me in LibreOffice and Gimp. I might have made a mistake.
22:49, 18 april 2008Smanjeni pregled verzije na dan 22:49, 18 april 2008260 × 240 (41 KB)Hersfold{{Information |Description=Pascal's triangle is a geometric arrangement of integers representing the binomial coefficients in a polynominal equation of the format (x + y)<sup>n</sup>. The

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