Pure Python functions

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

A Python implementation of General Lucas Theorem to solve n choose m (mod p^q)

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.

binomial coefficient

Some math functions in Rust

👩‍💻This repository provides Python implementations of a variety of fundamental algorithms and problem-solving techniques. From Knapsack and TSP to BFS, DFS, and more, explore practical examples to enhance your algorithmic skills. Perfect for students and developers seeking to grasp essential algorithms in Python.

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.

Repository with statistical functions via R

Pure Python Pochhammer symbol using Stirling numbers of the first kind

Repository with statistical functions via Python

Some BigInt usage examples in D

Simple CLI helper to create values of binomial coefficients for a specific row or range of rows.