Gamma Function

1. More generally, the binomial coefficient is a well-defined function of arbitrary real or complex and, via the gamma function.

Power Set

1. The number of sets with k elements in the power set of a set with n elements will be a combination C(n, k), also called a binomial coefficient.

Standard Definition

1. For finite cardinals, this definition coincides with the standard definition of the binomial coefficient.

Binomial Coefficient

1. In mathematics, particularly in combinatorics, a binomial coefficient is a coefficient of any of the terms in the expansion of the binomial (x + y) n.
2. In mathematics, particularly in combinatorics, the binomial coefficient of the natural number n and the integer k is the number of combinations that exist.
3. Counting the basis elements, we see that the dimension of Λ k(V) is the binomial coefficient n choose k.

Categories

1. Basis Elements
2. Binomial
3. Information > Science > Mathematics > Combinatorics
4. Mathematics > Algebra > Polynomials > Coefficient
5. Standard Definition
6. Books about "Binomial Coefficient" in Amazon.com
   

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