GitHub

Review of the importance of the binomial coefficient in combinatorics, polynomial expansions, and probability

Image a line of people waiting to get into a movie theater. The total number of permutations, or ways to order the people in the line, is n! = n•(n-1)•(n-2)•...•2•1. However, in this situation we ...
GitHub

Factorial & Binomial Coefficient #47841

torch currenltly only offers lgamma which can be used to calculate factorial as torch.exp(torch.lgamma(x + 1)), this is a bit cumbersome for such a simple mathematical operation. It will of course be ...
Scientific Research Publishing

Research on Transformation Characteristics of Binomial Coefficient Formula and Its Extended Model ()

1 School of Software, Yunnan University, Kunming, China. 2 Yunnan Laboratory of Quantum Information, Kunming, China. There are one-to-one relationships between binomial coefficients and PASCAL ...
Scientific Research Publishing

On the Study of Binomial Theorem: Formulation of Conjecture for Odd Binomial Coefficients for Binomials with Indices of n = 2 r – 1, Where r∈Z-* ()

1 Institute of Teacher Education, Davao Del Norte State College, Panabo, Philippines. 2 Institute of Advanced Studies, Davao Del Norte State College, Panabo, Philippines. Much of the development in ...