Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...

For centuries, one of algebra’s oldest puzzles has remained unsolved—how to find exact answers for higher-degree polynomials, where the variable is raised to the fifth power or more. Mathematicians ...

Using a relatively young theory, a team of mathematicians has started to answer questions whose roots lie at the very ...

Know the detailed paper analysis for the Karnataka SSLC Maths Exam 2025 conducted on 13th September, 2025. Students can also download the Karnataka SSLC Maths Question Paper 2025 and answer key PDFs ...

We investigate the extension of the nonparametric regression technique of local polynomial fitting with a kernel weight to generalized linear models and quasi-likelihood contexts. In the ordinary ...

Childs has been recognised for his contributions to quantum simulation and Hamiltonian dynamics. His work has focused on developing fast quantum algorithms for simulating Hamiltonian dynamics, which ...

Abstract: In this article, we investigate the stability analysis of a polynomial-fuzzy-model-based control system by employing a new form of approximate membership functions called Chebyshev ...

Abstract: For the stability analysis of a polynomial fuzzy system, a new polynomial membership function approach is proposed to reduce conservatism. In this article, based on a state-feedback ...

DeePoly is a universal high-precision mesh-free PDE solving framework. The core concept leverages the nonlinear approximation capabilities of deep neural networks combined with the local ...

Leaders today are facing more complexity, faster change, and higher expectations than ever. But budget cuts, approval ...

We meet a solutions architect who tells us that his defining characteristic is curiosity, and that for him success is in ...