For centuries, the Pythagorean Theorem has occupied a unique position in mathematics: both elementary and profound. Its ...

Abstract: Continuous piecewise affine (PWA) functions arise in many aspects of control. For this kind of function, we propose the minimal conjunctive normal expression (CNE). The CNE can be expressed ...

When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. In October 2024, news broke that Facebook parent company Meta had cracked an "impossible" problem ...

The total area under the curve must equal 1, representing the fact that the probability of some outcome occurring within the entire range is certain. \[\int_{-\infty}^{\infty}f\left(x\right)dx=1\] ...

After finding the homeschooling life confining, the teen petitioned her way into a graduate class at Berkeley, where she ended up disproving a 40-year-old conjecture. It’s not that anyone ever said ...

Functions are fundamental in mathematics, describing relationships between inputs and outputs. For instance, linear functions are used to describe proportional relationships such as calculating cost ...

American students’ math scores took a bigger hit from the pandemic than their peers overseas, according to a closely watched international exam. U.S. fourth- and eighth-grade students’ math ...

The next exam will take place on Monday, November 3, 2025, from 6:45 p.m. to 8:45 p.m. Please contact Pascale Larouche, [email protected] , to register for the exam. The deadline to register for this exam ...

ABSTRACT: In the author’s recent publications, a parametric system biorthogonal to the corresponding segment of the exponential Fourier system was unusually effective. On its basis, it was discovered ...

Most people probably don’t think of mathematics when they hear “busy beavers.” But these eager little animals symbolize one of the most amazing concepts of the knotty field: not everything can be ...