Last week, I introduced Emmy Noether, an extraordinary figure in the fields of mathematics and physics. To understand Noether ...

How Emmy Noether's theorem uses the Lagrangian to provide a formula for calculating the quantity of symmetries in a system—like the orbit of planets.

Compartment models have been proposed in the 1920s as a model for the spread of an infectious disease in a society, in a famous article by Kermack and ...

Abstract: A novel completely mode-free integral reinforcement learning (CMFIRL)-based iteration algorithm is proposed in this article to compute the two-player zero-sum games and the Nash equilibrium ...

Abstract: This article investigates impulsive security protocols with the goal of achieving consensus of fractional-order fuzzy multiagent systems (FOFMASs). In contrast to multiagent systems ...

Time has always seemed like the one thing physics could count on. Matter changes, stars die, particles flicker in and out, ...

MASA (Manufactured Analytical Solution Abstraction) is a library written in C++ (with C, python and Fortran90 interfaces) which provides a suite of manufactured solutions for the software verification ...

Reproducing kernel Hilbert space method is utilized in this paper as an efficient approach to solve singular fourth order ...

Students can plan their studies for board exam preparation with the official CBSE Class 12 Applied Maths syllabus (2026-27).

Google and OpenAI have solved decades-old problems — but the scientific community is beginning to discuss whether limits ...

Dylan Kane likes his math curriculum. But there’s one important piece missing, he says. The 7th grade math teacher in Leadville, Colo., uses a program that teaches math skills through real-world ...

Our body contains an intricate system of tiny vessels through which blood, water and other molecules flow. When the size of the pipes shrinks to the nanoscale, where only a few molecules can fit side ...