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 ...

Emmy Noether showed that fundamental physical laws are just a consequence of simple symmetries. A century later, her insights continue to shape physics. In the fall of 1915, the foundations of physics ...

The old adage goes that if you give an infinite number of monkeys an infinite amount of time hitting random keys on a typewriter, one of them will eventually type out the complete works of William ...

Two New Orleans students who solved the Pythagorean theorem using trigonometry have had their discovery confirmed by the math community after their findings were published in the American Mathematical ...

Two years ago, a couple of high school classmates each composed a mathematical marvel, a trigonometric proof of the Pythagorean theorem. Now, they’re unveiling 10 more. For over 2,000 years, such ...

In a new peer-reviewed study, Ne'Kiya Jackson and Calcea Johnson outlined 10 ways to solve the Pythagorean theorem using trigonometry, including a proof they discovered in high school. When you ...

Ehrenfest’s theorem expresses a connection between classical mechanics and quantum mechanics, although as mentioned, it was demonstrated in the formalism of wave mechanics. In the 19 th century, the ...

Abstract: Modeling the single electron dynamics under the influence of an electromagnetic field is important for next-generation electronic solid-state quantum systems for electron quantum optics and ...