| NOUN | a binomial coefficient | binomial coefficients | |
NOUN article.ind sg | pl
21 translations
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Usage Examples English
- Applying Legendre's formula to the product formula for binomial coefficients produces Kummer's theorem, a similar result on the exponent of each prime in the factorization of a binomial coefficient.
- The last representation, which is also immediate from the recursion formula, expresses the Legendre polynomials by simple monomials and involves the generalized form of the binomial coefficient.
- The reason is that when each division occurs, the intermediate result that is produced is itself a binomial coefficient, so no remainders ever occur.
- The term "negative binomial" is likely due to the fact that a certain binomial coefficient that appears in the formula for the probability mass function of the distribution can be written more simply with negative numbers.
- Although this list enumerates only trichords containing the note C, the number of "all" possible trichords inside a single octave is 220 (the binomial coefficient of picking three keys out of twelve).
- Sperner's theorem, from 1928, says that the size of an antichain in the power set of an "n"-set (a Sperner family) is at most the middle binomial coefficient(s).
- Here, [...] is the binomial coefficient.
- As the binomial coefficient [...] , 126 is a central binomial coefficient, and in Pascal's Triangle, it is a pentatope number.
- where "(i,j)" denotes the binomial coefficient for [...].
- in the prime decomposition of the central binomial coefficient [...] is at most [...].
- This follows from the binomial theorem, as each binomial coefficient of the expansion of [...] , except the first and the last, is a multiple of [...].
- Due to the symmetry of the binomial coefficient with regard to "k" and [...] , calculation may be optimised by setting the upper limit of the product above to the smaller of "k" and [...].
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Contains translations by TU Chemnitz and Mr Honey's Business Dictionary (German-English only).
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