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22 apr 2024 · A zero-knowledge proof allows you to prove the truth of a statement without sharing the statement’s contents or revealing how you discovered the truth. To make this possible, zero-knowledge protocols rely on algorithms that take some data as input and return ‘true’ or ‘false’ as output.
4 giorni fa · As high school students, Calcea Johnson and Ne’Kiya Jackson worked to find valid new proof for the 2,000-year-old theorem Two college freshmen who, during their final year of high school, found ...
19 apr 2024 · This is an overview of how Mathematicians validate truth and create new knowledge. By presenting various proof techniques and examples, we will investigate how mathematicians formalized reasoning over the centuries to make it correct and unambiguous.
3 giorni fa · Let ABC be a triangle with side lengths a, b, and c, with a2 + b2 = c2. Construct a second triangle with sides of length a and b containing a right angle. By the Pythagorean theorem, it follows that the hypotenuse of this triangle has length c = √a2 + b2, the same as the hypotenuse of the first triangle.
1 mag 2024 · A proof of concept (POC) is the process of proving that an idea is feasible. It's a screening phase to decide whether the idea can and should be brought to life. A POC may very well reveal that a great-on-paper proposal doesn't have legs to stand on, in which case it should be revised or trashed.
26 apr 2024 · Wilson’s theorem states that any positive integer, n (> 1), is a prime number if and only if (n – 1)! ≡ -1 (mod n), which means: If (n – 1)! ≡ -1 (mod n), then n is prime. If n is prime, then (n – 1)! ≡ -1 (mod n), the converse. It is used in mathematical calculations in elementary number theory involving (n – 1)!.
2 giorni fa · A conjecture is a mathematical statement that has not yet been rigorously proved. Conjectures arise when one notices a pattern that holds true for many cases. However, just because a pattern holds true for many cases does not mean that the pattern will hold true for all cases.
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