The teacher added a bonus question: to provide a new proof for the Pythagorean theorem using trigonometry, a task previously ...

"There are no trigonometric proofs because all the fundamental formulae of trigonometry are themselves based upon the truth ...

Various types of convergence of sequences and measurable functions will be introduced, and precise statements and proofs of the probability limit theorems (Law of Large Numbers, Central Limit Theorems ...

where the strength of various theorems is assessed based on the axioms required for their proof. Moreover, the exploration of robust theorems from classical mathematics, such as those attributed ...

Now, a team of mathematicians led by a prominent Kyoto University professor has offered an alternative proof to Fermat's Last Theorem, the potential second solution in the past quarter-century.