Projects in Awesome Lists tagged with binomial-theorem
A curated list of projects in awesome lists tagged with binomial-theorem .
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: 05 Mar 2025
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: 05 Mar 2025
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: 05 Mar 2025
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: 05 Mar 2025
https://github.com/happybono/sonatasmooth
Provides three different noise reduction algorithms for smoothing out data : Rectangular Averaging, Binomial Median Filtering, and Binomial Averaging. It processes data from a list and displays the results in another list.
algorithms average binomial binomial-coefficient binomial-theorem calibration csharp data-analysis data-calibration dynamic-noise-reduction median noise-algorithms noise-reduction noise-reduction-kernel outliers rectangular-averaging windows-desktop windows-desktop-application windows-forms winforms
Last synced: 11 Feb 2025
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: 05 Mar 2025
https://github.com/kolosovpetro/polynomialidentitiesinvolvingpascalstrianglerows
Polynomial identities involving Pascal's triangle rows
binomial-coefficients binomial-theorem combinatorics polynomials
Last synced: 05 Mar 2025