Nearly 200 years ago, the physicists Claude-Louis Navier and George Gabriel Stokes put the finishing touches on a set of equations that describe how fluids swirl. And for nearly 200 years, the ...

Abstract: Analytically solving complex or large-scale differential equations is often difficult or even impossible, making numerical integration methods indispensable. However, as all numerical ...

Discover a fast and powerful calculus-based method for finding square roots with impressive accuracy. This explanation shows how derivatives and iterative approximation can be used to quickly zero in ...

Where Winds Meet players are taking a novel approach to solving riddles by… simply telling the game's AI-powered chatbot NPCs that they have solved the game's riddles. The Wuxia open-world ...

High degree algebraic equations are an unsolved problem in algebra. The author has been able to solve high-order algebraic equations using elementary algebraic methods through exploration. This ...

Abstract: Surface integral equations (SIEs) are widely used for modeling electromagnetic scattering problems. However, after their discretization via the boundary element method (BEM), the spectra and ...

A mathematician at UNSW Sydney has introduced a groundbreaking new approach to one of algebra’s oldest unsolved problems. A mathematician has developed an algebraic solution to an equation that was ...

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Masaki Kashiwara has won the 2025 Abel prize, sometimes called the Nobel prize of mathematics, for his work on algebraic analysis. Kashiwara, a professor at Kyoto University, Japan, received the award ...

The iPad Calculator app has introduced an innovative feature called Math Notes, designed to enhance how you interact with mathematical equations. By integrating handwriting recognition, real-time ...