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

Last month, OpenAI announced that its latest version of ChatGPT had solved a major math problem, one that had stumped experts ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

A function is a relation such that for each \(x\)-value there is only one corresponding \(y\)-value. In other words, a function cannot contain two different ordered pairs with the same first ...

This contribution is part of the special series of Inaugural Articles by members of the National Academy of Sciences elected in 2017. Edited by Kenneth A. Ribet, University of California, Berkeley, CA ...

We propose a task-space admittance controller for dual-arm robotic systems using conformal geometric algebra. The controller is a reinterpretation of a previous work using dual quaternion algebra. By ...

Date: 02/23/2008 at 04:13:50 From: dIonAtHan Subject: finding the area of irregular polygon What is the formula for finding the area of an irregular polygon?

An Approach to Productive and Maintainable Shader Creation. Creating shaders has always been an advanced step for most developers; many game developers have never created GLSL code from scratch. The ...

Explore how corporations authorize and calculate issued shares through market cap and balance sheet methods. Monitor short-term returns for portfolio insight. Calculate monthly returns accurately.

Mathematicians sometimes think of their research as a garden and unsolved problems as seeds waiting to sprout. Some problems are analogous to tulip bulbs. As mathematicians work to solve them, they ...