- Proofs-Of-Principle
- Abbreviation: POP
Универсальный русско-английский словарь. Академик.ру. 2011.
Универсальный русско-английский словарь. Академик.ру. 2011.
Proofs of Fermat's theorem on sums of two squares — Fermat s theorem on sums of two squares asserts that an odd prime number p can be expressed as: p = x^2 + y^2with integer x and y if and only if p is congruent to 1 (mod 4). The statement was announced by Fermat in 1640, but he supplied no proof … Wikipedia
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Pigeonhole principle — A photograph of pigeons in holes. Here there are n = 10 pigeons in m = 9 holes, so by the pigeonhole principle, at least one hole has more than one pigeon: in this case, both of the top corner holes contain two pigeons. The principle says nothing … Wikipedia
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Hasse principle — In mathematics, Helmut Hasse s local global principle, also known as the Hasse principle, is the idea that one can find an integer solution to an equation by using the Chinese remainder theorem to piece together solutions modulo powers of each… … Wikipedia
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