Definition of Theorem

1. Noun. A proposition deducible from basic postulates.

Specialized synonyms: Binomial Theorem
Generic synonyms: Proposition

2. Noun. An idea accepted as a demonstrable truth.
Generic synonyms: Idea, Thought
Specialized synonyms: Bayes' Theorem

Definition of Theorem

1. n. That which is considered and established as a principle; hence, sometimes, a rule.

2. v. t. To formulate into a theorem.

Definition of Theorem

1. Noun. (mathematics) A mathematical statement of some importance that has been proven to be true. Minor theorems are often called ''propositions''. Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are called ''lemmas'' ¹

2. Noun. (mathematics colloquial nonstandard) A mathematical statement that is expected to be true; as, Fermat's Last Theorem (as which it was known long before it was proved in the 1990s.) ¹

3. Noun. (logic) a syntactically correct expression that is deducible from the given axioms of a deductive system ¹

4. Verb. (transitive) to formulate into a theorem ¹

¹ Source: wiktionary.com

Definition of Theorem

1. a proposition that is demonstrably true or is assumed to be so [n -S]

Medical Definition of Theorem

1. 1. That which is considered and established as a principle; hence, sometimes, a rule. "Not theories, but theorems, the intelligible products of contemplation, intellectual objects in the mind, and of and for the mind exclusively." (Coleridge) "By the theorems, Which your polite and terser gallants practice, I re-refine the court, and civilize Their barbarous natures." (Massinger) 2. A statement of a principle to be demonstrated. A theorem is something to be proved, and is thus distinguished from a problem, which is something to be solved. In analysis, the term is sometimes applied to a rule, especially a rule or statement of relations expressed in a formula or by symbols; as, the binomial theorem; Taylor's theorem. See the Note under Proposition. Binomial theorem. A theorem which extends to any quantity without restriction. Origin: L. Theorema, Gr. A sight, speculation, theory, theorem, fr. To look at, a spectator: cf. F. Theoreme. See Theory. Source: Websters Dictionary (01 Mar 1998)

Theorem Pictures

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Lexicographical Neighbors of Theorem

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Literary usage of Theorem

Below you will find example usage of this term as found in modern and/or classical literature:

1. Projective Geometry by Oswald Veblen, John Wesley Young (1910)
"theorem 19. If the vertices of a complete quadrangle are on a conic which ... Reverting to the proof of theorem 2 (fig. 51), let the line meet the couic in ..."

2. Projective Geometry by Oswald Veblen, John Wesley Young (1910)
"theorem 19. If the vertices of a complete quadrangle are on a ... Reverting to the proof of theorem 2 (fig. 51), let the line meet the conic in the points ..."

3. A Treatise on Electricity and Magnetism by James Clerk Maxwell (1904)
"we have to do, therefore, is to substitute for X, T, and Z in that theorem the components of the vector on which the particular theorem depends. ..."

4. The Encyclopedia Americana: A Library of Universal Knowledge (1918)
"The theorem may be proved from the consideration that every time that a new positive root is introduced into an equation, by multiplying f(x) by (x — r), ..."

5. The Foundations of Geometry by David Hilbert (1902)
"The question arises as to whether Pascal's theorem can be demonstrated without ... Our investigation will show that in this respect Pascal's theorem is very ..."

6. Mathematical and Physical Papers by Sir George Gabriel Stokes, Baron John William Strutt Rayleigh (1880)
"Objections to Lagranges proof of the theorem that if udx+vdy+wdz is an exact differential ... A new proof of the theorem. A physical interpretation of the ..."

7. Proceedings of the Cambridge Philosophical Society by Cambridge Philosophical Society (1843)
"Some interest attaches to the nature of the bounds in theorem A. Landau (2) showed ... We shall prove the following results: theorem I. Iff(z) belongs to S, ..."