Fil:PascalTriangleAnimated2.gif

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PascalTriangleAnimated2.gif ‎(260 × 240 pixlar, filstorlek: 27 kbyte, MIME-typ: image/gif, upprepad, 84 bildrutor, 12 s)

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Sammanfattning

BeskrivningPascalTriangleAnimated2.gif	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	18 april 2008
Källa	Eget arbete
Skapare	Hersfold on the English Wikipedia
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Licensiering

Jag, upphovsrättsinnehavaren till detta verk, släpper detta verk i public domain. Detta gäller globalt.
I vissa länder kan detta inte vara juridiskt möjligt; i så fall:
Jag ger härmed envar rätten att använda detta verk för alla ändamål, utan några villkor, förutom villkor som lagen ställer.

Filhistorik

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	Datum/Tid	Dimensioner	Användare	Kommentar
nuvarande	21 maj 2023 kl. 20.59	260 × 240 (27 kbyte)	Phreneticc	Reduced file weight with FileOptimizer in lossless compression mode.
	2 maj 2012 kl. 21.45	260 × 240 (28 kbyte)	Dratini0	Optimized and fixed with Gimp, because it did not work for me in LibreOffice and Gimp. I might have made a mistake.
	18 april 2008 kl. 22.49	260 × 240 (41 kbyte)	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