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  2. Legendre's three-square theorem - Wikipedia

    en.wikipedia.org/wiki/Legendre's_three-square...

    This theorem can be used to prove Lagrange's four-square theorem, which states that all natural numbers can be written as a sum of four squares. Gauss [ 10 ] pointed out that the four squares theorem follows easily from the fact that any positive integer that is 1 or 2 mod 4 is a sum of 3 squares, because any positive integer not divisible by 4 ...

  3. The Geometry of Numbers - Wikipedia

    en.wikipedia.org/wiki/The_Geometry_of_Numbers

    The Geometry of Numbers is based on a book manuscript that Carl D. Olds, a New Zealand-born mathematician working in California at San Jose State University, was still writing when he died in 1979. Anneli Cahn Lax , the editor of the New Mathematical Library of the Mathematical Association of America , took up the task of editing it, but it ...

  4. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    Scott core theorem (3-manifolds) Seifert–van Kampen theorem (algebraic topology) Sela's theorem (hyperbolic groups) Separating axis theorem (convex geometry) Shannon–Hartley theorem (information theory) Shannon's expansion theorem (Boolean algebra) Shannon's source coding theorem (information theory) Shell theorem

  5. Proof without words - Wikipedia

    en.wikipedia.org/wiki/Proof_without_words

    Proof without words of the Nicomachus theorem (Gulley (2010)) that the sum of the first n cubes is the square of the n th triangular number. In mathematics, a proof without words (or visual proof) is an illustration of an identity or mathematical statement which can be demonstrated as self-evident by a diagram without any accompanying explanatory text.

  6. Category:Theorems in number theory - Wikipedia

    en.wikipedia.org/wiki/Category:Theorems_in...

    Siegel's theorem on integral points; Six exponentials theorem; Skolem–Mahler–Lech theorem; Sophie Germain's theorem; Størmer's theorem; Subspace theorem; Sum of two squares theorem; Szemerédi's theorem

  7. A Treatise on the Binomial Theorem - Wikipedia

    en.wikipedia.org/wiki/A_Treatise_on_the_Binomial...

    A Treatise on the Binomial Theorem is a fictional work of mathematics by the young Professor James Moriarty, the criminal mastermind and archenemy of the detective Sherlock Holmes in the fiction of Arthur Conan Doyle. The actual title of the treatise is never given in the stories; Holmes simply refers to "a treatise upon the Binomial Theorem".

  8. Stassi Schroeder's Daughter, 3, Accidentally Stabs Mom with ...

    www.aol.com/stassi-schroeders-daughter-3...

    Stassi Schroeder's daughter Hartford is dangerously obsessed with Wicked.. On Thursday, Dec. 27, the Vanderpump Rules alum's husband, Beau Clark, shared a hilarious video on Instagram of Schroeder ...

  9. Leonard Eugene Dickson - Wikipedia

    en.wikipedia.org/wiki/Leonard_Eugene_Dickson

    Leonard Eugene Dickson (January 22, 1874 – January 17, 1954) was an American mathematician.He was one of the first American researchers in abstract algebra, in particular the theory of finite fields and classical groups, and is also remembered for a three-volume history of number theory, History of the Theory of Numbers.