Light is usually described using quantum mechanics when phenomena like entanglement enter the picture. But a new paper shows ...

Abstract: In many branches of engineering, Banach contraction mapping theorem is employed to establish the convergence of certain deterministic algorithms. Randomized versions of these algorithms have ...

1 School of Mathematics and Statistics, Huaiyin Normal University, Huaian, Jiangsu, China 2 Jiyang College, Zhejiang Agriculture and Forestry University, Zhuji, Zhejiang, China This paper is devoted ...

The Pythagorean Theorem—discovered by the Greek mathematician Pythagoras in the 6th century BCE—is a cornerstone of mathematics. Simply stated as a 2 + b 2 = c 2, the theorem posits that the sum of ...

Two high school seniors have presented their proof of the Pythagorean theorem using trigonometry — which mathematicians thought to be impossible — at an American Mathematical Society meeting. When you ...

The dynamics of volume preserving maps can model a variety of mixing problems ranging from microscopic granular mixing, to dispersion of pollutants over our planet's atmosphere. We study a general ...