If you are worried and want to know how to fast-track and give the final push to your preparation, here are some suggestions on important topics, formulas, high-weightage units, along with what you ...

Abstract: Spectral clustering (SC) has been widely used in many applications and shows excellent performance. Its high computational cost limits its applications; many strategies including the anchor ...

The team used an AI method known as equation discovery to develop a model to simulate the interactions between small eddies—circular, vortex-like currents—and large-scale ones. These interactions are ...

Ahead of Valentine’s Day, Robinson unveiled a new set of equations that translate romantic phrases and symbols into mathematics. To create them, he drew on disciplines ranging from trigonometry and ...

Algebra is a core part of mathematics that develops critical thinking and problem‑solving skills. Among its many topics, inequalities stand out as both essential and challenging for students. Whether ...

The irregular, swirling motion of fluids we call turbulence can be found everywhere, from stirring in a teacup to currents in ...

Mathematicians finally understand the behavior of an important class of differential equations that describe everything from ...

py-pde is a Python package for solving partial differential equations (PDEs). The package provides classes for grids on which scalar and tensor fields can be defined. The associated differential ...

Abstract: During the past two decades, many evolutionary algorithms have been proposed to solve nonlinear equation systems (NESs). However, the benchmark test sets have not received enough attention.

This repository allows you to solve forward and inverse problems related to partial differential equations (PDEs) using finite basis physics-informed neural networks (FBPINNs). To improve the ...