The Pythagorean Theorem, a cornerstone of geometry, empowers students to solve right triangle problems and unlock advanced mathematical concepts. Mastering this theorem enhances logical reasoning, ...

Examples are given which show the necessity of various hypotheses in the known finite dimensional complement theorems. In addition, several positive results are presented which improve one direction ...

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 ...

This is an updated version of a story first published on May 5, 2024. For many high school students returning to class, it may seem like geometry and trigonometry were created by the Greeks as a form ...

Sign up for CNN’s Wonder Theory science newsletter. Explore the universe with news on fascinating discoveries, scientific advancements and more. Louisiana students ...

Abstract.In this paper, we state a new form of fixed point theorems on metric spaces and 2-metric spaces which unifies and generalizes many results in the literature. Examples are given to illustrate ...

A mathematician will turn a groundbreaking 100-page proof into computer code. The proof tool, Lean, lets users turn proofs written in prose into rules and logic for testing. Kevin Buzzard already uses ...

Here's what the hairiest problem in math can teach us about wind, antennas and nuclear fusion. When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works.