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In mathematics, Pascal's triangle is an infinite triangular array of the binomial coefficients which play a crucial role in probability theory, combinatorics, and algebra.In much of the Western world, it is named after the French mathematician Blaise Pascal, although other mathematicians studied it centuries before him in Persia, [1] India, [2] China, Germany, and Italy.
Image credits: thesnuggleisrl Perhaps not all animals have a sense of humor, but many sure like to have fun. Rats, for example, really like it when we tickle them.
Singmaster's conjecture is a conjecture in combinatorial number theory, named after the British mathematician David Singmaster who proposed it in 1971. It says that there is a finite upper bound on the multiplicities of entries in Pascal's triangle (other than the number 1, which appears infinitely many times).
1000th row of Pascal's triangle, arranged vertically, with grey-scale representations of decimal digits of the coefficients, right-aligned. The left boundary of the image corresponds roughly to the graph of the logarithm of the binomial coefficients, and illustrates that they form a log-concave sequence .
Image credits: Google Street View While the idea seems deceptively simple, just hiring folks to ride around in cars equipped with special cameras, Google had to overcome all sorts of different ...
Math sometimes gets a bad rap. Traditionally, it's not the most well-liked subject in school. Students often complain that it's difficult to understand. In fact, in a 2023 survey, math ranked only ...
World's Funniest Animals is an American video clip television series produced by Associated Television International that premiered on The CW on September 18, 2020. Premise [ edit ]
This list of triangle topics includes things related to the geometric shape, either abstractly, as in idealizations studied by geometers, or in triangular arrays such as Pascal's triangle or triangular matrices, or concretely in physical space.