Mathematical equations offer unique windows into the world. They make sense of reality and help us see things that haven't been previously noticed. So it’s no surprise that new developments in math ...

Maxwell’s equations of electromagnetism and the Euler equation top a poll to find the greatest equations of all time. Robert P Crease discusses the results of his reader survey First among equals – ...

A research team at Duke University has developed a new AI framework that can uncover simple, understandable rules that govern ...

Dynamic equations and time scale analysis offer a unifying framework for the study of systems evolving over time, whether in continuous, discrete, or hybrid settings. By integrating differential and ...

Discover how the equation of exchange links money supply, velocity of money, and price levels, influencing inflation and economic activity. Learn key formulas and impacts.

Mathematical formulas written over a hundred years ago could find an echo in the most current theories about black holes and ...

Current equations for estimated glomerular filtration rate (eGFR) that use serum creatinine or cystatin C incorporate age, sex, and race to estimate measured GFR. However, race in eGFR equations is a ...

An arbitrary waveform generator (AWG) is a powerful and flexible signal source capable of generating any wave shape within the bandwidth and amplitude range of the generator. Populating an AWG with ...

To mathematicians, equations are art. Just as many are moved by a painting or piece of music, to those who appreciate and understand math, expressions of numbers, variables, operations and relations ...

For more than 250 years, mathematicians have wondered if the Euler equations might sometimes fail to describe a fluid’s flow. A new computer-assisted proof marks a major breakthrough in that quest.

Ever since Archimedes, mathematicians have been fascinated by equations that involve a difference between squares. Now two mathematicians have proven how often these equations have solutions, ...