ABSTRACT: Using elementary Mother space of type e M , we construct semiring N , ring Z and field Q of extended numbers inculuding natural numbers ℕ , rational integers ℤ and rational numbers ℚ . We ...

Abstract: In this paper we introduce and study the algebraic generalization of non commutative convolutional neural networks. We leverage the theory of algebraic signal processing to model ...

The prediction of protein-nucleic acid binding affinity is a critical challenge in biology and drug discovery. Accurate machine learning predictions rely on deciphering both intermolecular and ...

Abstract: This work investigated the post-quantum digital signature algorithm based on Finite Non-commutative Associative Algebras and also provides a brief analytical overview of certain post-quantum ...

Contributor Internet Archive Language English Item Size 1.6G 1 online resource (x, 586 pages) : Computational Commutative Algebra 2 is the natural continuation of Computational Commutative Algebra 1 ...

A team of researchers affiliated with UNIST has made a significant breakthrough by mathematically proving that a special type of vortex pair, called the Sadovskii vortex patch, can exist within ideal ...

This title is part of a longer publication history. The full run of this journal will be searched. TITLE HISTORY A title history is the publication history of a journal and includes a listing of the ...

The general-purpose drawing package TikZ can be used to typeset commutative diagrams and other kinds of mathematical pictures, generating high-quality results. This TikZ library facilitates the ...

Explore a wide range of recent research in mathematics. From mathematical modeling to why some people have difficulty learning math, read all the math-related news here.

I will never forget this one day when Kevin was a preschooler. We had an IEP meeting, and one of his proposed math IEP goals was to be able to visualize and identify what 2 of something looks like or ...

The "moving wall" represents the time period between the last issue available in JSTOR and the most recently published issue of a journal. Moving walls are generally represented in years. In ...

In the late 1960s and early 1970s, the American cartoonist Crockett Johnson created a series of paintings on mathematical subjects. They’re based on theorems, laws, and mathematical figures, but ...