A command line tool to expand expressions using the binomial expansion formula, written in python

Open research project on polynomial interpolation and approximation

In this manuscript, we start our discussion from the definition of central factorial numbers (both, recursive and iterative), continuing with a set of identities used further in this manuscript. Then, based on odd power identities given by Knuth, we show other variations of odd power identities applying derived previously identities

Solucionador del Teorema del Binomio 🧮

Differentiation is process of finding the derivative, or rate of change, of a function. Derivative itself is defined by the limit of function's change divided by the function's argument change as change tends to zero. In particular, for polynomials the function's change is calculated via Binomial expansion.

In this manuscript, we show new binomial identities in iterated rascal triangles, revealing a connection between the Vandermonde convolution and iterated rascal numbers. We also present Vandermonde-like binomial identities. Furthermore, we establish a relation between iterated rascal triangle and (1,q)-binomial coefficients.

On the link between binomial theorem and discrete convolution

Polynomial identity involving Binomial Theorem and Faulhaber's formula

Polynomial identities involving Pascal's triangle rows

The power rule for derivatives, typically proven through the limit definition of derivative in conjunction with the Binomial theorem. In this manuscript we present an alternative approach to proving the power rule, by utilizing a certain polynomial identity, such that expresses the function's growth.

Probability with python - combinations, permutations, sets

Pharmaceutical company Sun Pharma