How can you have a proof without proving anything? Mathematicians found a way and, in the process, came to blows over it – ...
Place any number of dots on a two-dimensional plane—say, a piece of paper—and measure the distance between each pair. If you rearrange the dots, how many pairs could be positioned exactly the same ...
Penn researchers have developed a smarter AI method for solving notoriously difficult inverse equations, which help scientists uncover hidden causes behind observable effects. By introducing ...
Every year, the countries competing in the International Mathematical Olympiad arrive with a booklet of their best, most original problems. Those booklets get shared among delegations, then quietly ...
Abstract: This paper proposes an alternating refined constraint method (ARCM) for solving multi-objective optimization problems (MOPs) in energy systems. Through a two-stage solution mechanism, ARCM ...
One idle evening last October, Mehtaab Sawhney took up an old pastime. He began perusing the website erdosproblems.com, an updated record of the 1,179 conjectures left behind by the eccentric and ...
Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...
Abstract: We propose a novel method for the efficient and accurate iterative solution of frequency domain integral equations (IEs) used for large/multi-scale electromagnetic scattering problems. The ...
Forbes contributors publish independent expert analyses and insights. The workplace needs assessment is a critical lever in making inclusion operational; where the needs for disability adjustments are ...
When was the last time it felt like New York City was headed in the right direction? As federal funding for housing, schools, and food security gets cut, New York’s leaders are facing crises of their ...
Microplastics seem to be everywhere—in the air we breathe, the water we drink, the food we eat. They have turned up in human organs, blood, testicles, placentas and even brains. While the full health ...
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