TSUYAMA, Okayama -- A "modern castle" with an inverted trapezoid shape, built in this western Japan city in 1965 on the former site of a real castle, continues to capture attention while serving ...

In other words, Arrow’s Impossibility Theorem can be thought of as a kind of political Incompleteness Theorem – a result that says, hey, sometimes, there just is no perfect solution.

Five or ten new proofs of the Pythagorean theorem. American Mathematical Monthly. Published online October 28, 2024. doi: 10.1080/00029890.2024.2370240. N.D. Jackson and C.R. Johnson.

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.

Parsons left Infinite Monkey Theorem in 2020, and since then no amount of monkeys banging away on typewriters could have created a tale to match the changes to the world, the booze industry, and ...

2 Students, Who Met In 2017, Have Solved 57 Maths Theorems Since The proof contributes towards an extensive body of research on the mathematical impossibility of complete disorder.

Pythagoras Theorem: This article explains the concept of Pythagoras Theorem and its converse. Know the definition, formula, proof, examples and applications of Pythagoras Theorem.

Where a, b, c, and d are the lengths of each side. 2. Use the Pythagorean Theorem: If you are given enough information about right angles and side lengths in your trapezoid or can derive these ...

In fact, there is an ancient Babylonian tablet (by the catchy name of IM 67118) which uses the Pythagorean theorem to solve the length of a diagonal inside a rectangle.