Contemporary research has expanded our understanding of these polynomials, uncovering elegant identities and novel representations that further simplify complex calculations. Notably, new ...

Presented are polynomial identities which imply generalizations of Euler and Rogers-Ramanujan identities. Both sides of the identities can be interpreted as generating functions of certain restricted ...

[1] Nonlinear Superposition and Composite Solution Formula for the Generalized (2+ 1)-Dimensional Variable-Coefficient Fifth-Order KdV Equation ...

Abstract: Brugia's work on the noniterative computation of high order derivatives of rational functions with application to multiple-pole fraction expansion is simplified by the use of operators. The ...

Using a notion called integer partitions, mathematicians have discovered a new way to detect prime numbers while also ...

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 Haryana Board of School Education (HBSE) has made the Maths course materials for Class 10 available online for the ...

For centuries, prime numbers have captured the imaginations of mathematicians, who continue to search for new patterns that help identify them and the way they’re distributed among other numbers.

Abstract: This letter presents a new class of polynomial threshold operators for denoising signals using wavelet transforms. The operators are parameterized to include classical soft-and ...

Explore how post-quantum cryptography is revolutionising digital security, offering quantum-resistant algorithms.

But with autonomy comes accountability. And the question becomes: who is acting? To answer that, we need a new identity model built not for humans, but for artificial agents. An agentic identity is a ...