Every summer, scores of tourists take to the bustling streets of Barcelona, a city known for its breathtaking architecture. Nicolás Atanes Santos, a young Spanish mathematician, sees this as an ...

For over two millennia, mathematicians agreed on one thing: you can’t use trigonometry to prove Pythagoras’ Theorem—because trigonometry is built on it. That logic, drilled into students and scholars ...

Pythagoras is perhaps the most famous figure in the group of ancient Greek philosophers known as the Pre-Socratics. This is largely due to the Pythagorean Theorem, a mathematical theorem that is still ...

Abstract: We introduce a new class of non-standard fuzzy subsets called Pythagorean fuzzy subsets and the related idea of Pythagorean membership grades. We focus on the negation operation and its ...