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PascalTriangleAnimated2.gif (260 × 240 billedpunkter, filstørrelse: 27 KB, MIME-type: image/gif, gentaget, 84 rammer, 12 s)

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Beskrivelse

Beskrivelse
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.
Dato
Kilde Eget arbejde
Forfatter Hersfold
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Dato/tidMiniaturebilledeDimensionerBrugerKommentar
nuværende21. maj 2023, 19:59Miniature af versionen fra 21. maj 2023, 19:59260 × 240 (27 KB)PhreneticcReduced file weight with FileOptimizer in lossless compression mode.
2. maj 2012, 20:45Miniature af versionen fra 2. maj 2012, 20:45260 × 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.
18. apr. 2008, 21:49Miniature af versionen fra 18. apr. 2008, 21:49260 × 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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