Attēls:PascalTriangleAnimated2.gif

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PascalTriangleAnimated2.gif ‎(260 × 240 pikseļi, faila izmērs: 27 KB, MIME tips: image/gif, looped, 84 kadri, 12 s)

Kopsavilkums

Apraksts
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.
Datums
Avots Paša darbs
Autors Hersfold on the English Wikipedia
Citas versijas

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Pascal's triangle

Šajā failā attēlotais

attēlo

Paskāla trijstūris

izveides datums

18 aprīlis 2008

medija veids

image/gif

Faila hronoloģija

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Datums/LaiksAttēlsIzmēriDalībnieksKomentārs
tagadējais2023. gada 21. maijs, plkst. 21.592023. gada 21. maijs, plkst. 21.59 versijas sīktēls260 × 240 (27 KB)PhreneticcReduced file weight with FileOptimizer in lossless compression mode.
2012. gada 2. maijs, plkst. 22.452012. gada 2. maijs, plkst. 22.45 versijas sīktēls260 × 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.
2008. gada 18. aprīlis, plkst. 23.492008. gada 18. aprīlis, plkst. 23.49 versijas sīktēls260 × 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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