Proceedings of the American Mathematical Society, Vol. 125, No. 6 (Jun., 1997), pp. 1675-1684 (10 pages) Let H(X, Y) (C(X, Y)) represent the family of holomorphic (continuous) maps from a complex ...

The Pythagorean theorem, a cornerstone of mathematics for millennia, provides a method for determining unknown sides in right-angled triangles using the formula a² + b² = c². Its applications extend ...

For four decades, a quiet boundary in pure mathematics kept a powerful theorem locked inside the safe world of finite quantities. Now a new result known as Sebestyen’s theorem has pushed that boundary ...

At the University of Vaasa in Finland, mathematician Yosra Barkaoui has successfully generalized a fundamental theorem that had remained confined to “bounded” systems for more than 40 years.

Two teens say they’ve historically solved Pythagoras’ famous theorem by using trigonometry. New Orleans natives Calcea Johnson and Ne’Kiya Jackson, who attend St. Mary’s Academy, presented their ...

Trigonometric identities are powerful tools for simplifying complex equations in math and science. Three core groups—reciprocal, quotient, and Pythagorean—form the foundation. Effective strategies ...

In 2019, mathematicians finally solved one of the hardest math problems—one that had stumped them for decades. It’s called a Diophantine Equation, and it’s sometimes known as the “summing of three ...

Humans and AI bring complementary strengths to problem-solving. Innovative nonprofit receives grant to combine AI with human intelligence to tackle unproven math theorems. A big part of this project ...