Bitcoin.ℏ uses SHA-384 and Hedera Hashgraph to counter quantum threats, offering stronger security than traditional ...

Graph polynomials serve as robust algebraic encodings of the intricate combinatorial properties inherent to graphs. At the heart of this discipline lies the Tutte polynomial, an invariant that not ...

What do Sudoku, AI, Rubik’s cubes, clocks and molecules have in common? They can all be reimagined as algebraic equations.

Python allows free creation of plots, unlike expensive, stagnant graphing calculators. Import NumPy and Matplotlib for basic linear and polynomial ... m = 3.5 The plot function creates a 2D ...

Algebra can be demystified with the right approach. Transforming word problems into mathematical expressions is crucial, ...

Graph-based spectral denoising is a low-pass filtering using the eigendecomposition of the graph Laplacian matrix of a noisy signal. Polynomial filtering avoids costly computation of the ...

The primary utility function, find_embedding(), is an implementation of the heuristic algorithm described in [1]. It accepts various optional parameters used to tune the algorithm's execution or ...

In full generality, minimizing a polynomial function over a closed semi-algebraic set requires complex mathematical equations. This book explains recent developments from singularity theory and ...

The “9th Grade Algebra Made Easy” program has been updated to cover new topics for those interested in studying over the ...