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)
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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 |
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Public domainPublic domainfalsefalse |
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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. |
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18 april 2008
source of file engleski
original creation by uploader engleski
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Datum/vrijeme | Smanjeni pregled | Dimenzije | Korisnik | Komentar | |
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trenutno | 20:59, 21 maj 2023 | ![]() | 260 × 240 (27 KB) | Phreneticc | Reduced file weight with FileOptimizer in lossless compression mode. |
21:45, 2 maj 2012 | ![]() | 260 × 240 (28 KB) | Dratini0 | Optimized 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 2008 | ![]() | 260 × 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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