elegant proof

  • 1Proof by exhaustion — Proof by exhaustion, also known as proof by cases, perfect induction, or the brute force method, is a method of mathematical proof in which the statement to be proved is split into a finite number of cases, and each case is proved separately. A… …

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  • 2Proof without words — In mathematics, a proof without words is a proof of an identity or mathematical statement which can be demonstrated as self evident by a diagram without any accompanying explanatory text. Such proofs can be considered more elegant than more… …

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  • 3Mathematical proof — In mathematics, a proof is a convincing demonstration (within the accepted standards of the field) that some mathematical statement is necessarily true.[1][2] Proofs are obtained from deductive reasoning, rather than from inductive or empirical… …

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  • 4Cantor's first uncountability proof — Georg Cantor s first uncountability proof demonstrates that the set of all real numbers is uncountable. Cantor formulated the proof in December 1873 and published it in 1874 in Crelle s Journal [cite… …

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  • 5Elegance — Elegant redirects here. For the American novelist, see Robert Elegant. Elegance of the Epoque by Frédéric Soulacroix …

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  • 6Mathematical beauty — An example of beauty in method a simple and elegant geometrical proof that the Pythagorean theorem is true for a particular right angled triangle. Many mathematicians derive aesthetic pleasure from their work, and from mathematics in general.… …

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  • 7Mathematics — Maths and Math redirect here. For other uses see Mathematics (disambiguation) and Math (disambiguation). Euclid, Greek mathematician, 3r …

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  • 8Philosophy of mathematics — The philosophy of mathematics is the branch of philosophy that studies the philosophical assumptions, foundations, and implications of mathematics. The aim of the philosophy of mathematics is to provide an account of the nature and methodology of …

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  • 9Circle packing theorem — Example of the circle packing theorem on K5, the complete graph on five vertices, minus one edge. The circle packing theorem (also known as the Koebe–Andreev–Thurston theorem) describes the possible tangency relations between circles in the plane …

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  • 10Peter Orno — Peter Ørno Born 1974 Columbus, Ohio Residence Columbus, Ohio Citizenship …

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