Ancient Indian mathematician Baudhayana was the first person to formulate a theorem on right-angled triangles that in its modern form came to be associated with Greek mathematician Pythagoras, a newly ...
According to Greg Brockman (@gdb), the introduction of GPT-5.2 Pro marks a significant advancement in applying artificial intelligence to mathematical research. This new version is designed to handle ...
Two triangles are deemed similar if their corresponding angles are congruent (equal in measure) and their corresponding sides are proportional. This proportionality means that the ratio between the ...
The Pythagoras’ theorem in 1D is governed by lines, while in 2D by squares (see picture below). Just like squares appear naturally when transforming the Pythagoras’ theorem from 1D to 2D, octahedrons ...
The field of formal verification is all about using mathematically rigorous techniques and tools to prove properties about systems. The applications of formal verification vary widely. There are ...
DeepSeek AI has announced the release of DeepSeek-Prover-V2, a groundbreaking open-source large language model specifically designed for formal theorem proving within the Lean 4 environment. This ...
In 2022, two high school students created a trigonometric proof of the Pythagorean Theorem—something that’s only ever been accomplished by a few professional mathematicians. Now, a new article not ...
Coq is a formal proof management system. It provides a formal language to write mathematical definitions, executable algorithms and theorems together with an environment for semi-interactive ...
Two US college students, who discovered a new way to prove Pythagoras' famous 2,000-year-old theorem in 2022 have now come up with five different ways of solving the problem using trigonometry. Their ...
Two Louisiana teens, Ne'Kiya Jackson and Calcea Johnson, developed an original trigonometric proof for the Pythagorean Theorem, long thought impossible. Their groundbreaking work recently led to a ...
What began as a bonus question in a high school math contest has resulted in a staggering 10 new ways to prove the ancient mathematical rule of Pythagoras' theorem. "There are no trigonometric proofs ...