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Projects in Awesome Lists tagged with binomial-theorem

A curated list of projects in awesome lists tagged with binomial-theorem .

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https://github.com/kolosovpetro/historyandoverviewofpolynomialp

Open research project on polynomial interpolation and approximation

approximation approximation-algorithms binomial-theorem differential-equations finite-difference interpolation-methods math mathematics maths open-research open-science polynomial-equations polynomials research research-project

Last synced: 15 Nov 2024

https://github.com/kolosovpetro/polynomialidentityinvolvingbtandfaulhaber

Polynomial identity involving Binomial Theorem and Faulhaber's formula

binomial-theorem math mathematics open-research open-science polynomials preprints research research-project working-paper

Last synced: 15 Nov 2024

https://github.com/kolosovpetro/onthebinomialtheoremanddiscreteconvolution

On the link between binomial theorem and discrete convolution

binomial-theorem math mathematics open-research open-science polynomials research research-project

Last synced: 15 Nov 2024

https://github.com/kolosovpetro/identitiesinrascaltriangle

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 binomial-theorem mathematica mathematics open-research open-science pascals-triangle research-paper research-project

Last synced: 15 Nov 2024

https://github.com/kolosovpetro/findingthederivativeofpolynomialsviadoublelimit

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.

binomial-theorem derivatives differential-equations math mathematics open-research open-science polynomials research research-project

Last synced: 15 Nov 2024

https://github.com/kolosovpetro/polynomialidentitiesinvolvingpascalstrianglerows

Polynomial identities involving Pascal's triangle rows

binomial-coefficients binomial-theorem combinatorics polynomials

Last synced: 15 Nov 2024