Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true of all natural numbers. The method can be extended to prove statements about ...

In 2024, Google DeepMind announced that they had developed an AI system that scored a silver medal in the International Mathematical Olympiad, a prestigious proof-based exam for high school students.

A mathematical proof of the law can be considered as an ideal consistency check. It also gives us a better understanding of what is really going on in the fluid, and this may lead to further ...

By making key substitutions and clarifications to the original problem, Wang and Zahl opened it to a type of proof called induction on scale. Classic proof by induction involves showing a ...

In much simpler proofs, we use induction to show that the next counting number will always fall into the logic we already established. If it’s true for 8, it’s true for 9, 10, 11, and so forth ...

The entire proof—consisting of the new work, an 800-page paper by Klainerman and Szeftel from 2021, plus three background papers that established various mathematical tools—totals roughly ...

Ne’Kiya Jackson and Calcea Johnson have published a paper on a new way to prove the 2000-year-old Pythagorean theorem. Their work began in a high school math contest.

In the formula for Proof of Work-based blockchains, including Bitcoin, ... There is mathematical proof in the pudding. Kyoto University. Journal IEEE Access DOI 10.1109/ACCESS.2024.3410025.

Ne’Kiya Jackson and Calcea Johnson have published a paper on a new way to prove the 2000-year-old Pythagorean theorem. Their ...

Ne’Kiya Jackson and Calcea Johnson have published a paper on a new way to prove the 2000-year-old Pythagorean theorem. Their work began in a high school math contest.