THEOREM

theorem

(noun) an idea accepted as a demonstrable truth

theorem

(noun) a proposition deducible from basic postulates

Source: WordNet® 3.1

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Etymology

Noun

theorem (plural theorems)

(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.

(mathematics, colloquial, nonstandard) A mathematical statement that is expected to be true

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

Synonyms

• (proven statement): lemma, proposition, statement

• (unproven statement): conjecture

• See also statement

Hyponyms

(Hyponyms of theorem (informatics)):

• Böhm-Jacopini theorem

• structured program theorem

(Hyponyms of theorem (mathematics)):

• binomial theorem

• central limit theorem

• Ceva's theorem

• cosine theorem

• double angle theorem

• Dvoretzky's theorem

• Euclid's theorem

• exterior angle theorem

• Fermat's Last Theorem

• fundamental theorem of algebra

• fundamental theorem of arithmetic

• fundamental theorem

• Gauss' theorem

• Gödel's incompleteness theorem

• Green's theorem

• Haag's theorem

• Hales-Jewett theorem

• Hindman's theorem

• inscribed angle theorem

• intercept theorem

• Knaster-Tarski theorem

• Menelaus' theorem

• Milliken-Taylor theorem

• Paris-Harrington theorem

• Pythagoras' theorem

• Rado-Folkman-Sanders theorem

• Rado's theorem

• Schur's theorem

• sine theorem

• Stokes' theorem

• Szemerédi's theorem

• Thales' theorem

• Turán's theorem

• Van der Waerden's theorem

Holonyms

• theory

Verb

theorem (third-person singular simple present theorems, present participle theoreming, simple past and past participle theoremed)

(transitive) To formulate into a theorem.

Source: Wiktionary

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The"o*rem, n. Etym: [L. theorema, Gr. théorème. See Theory.]

1. That which is considered and established as a principle; hence, sometimes, a rule. Not theories, but theorems (Coleridge. By the theorems, Which your polite and terser gallants practice, I re-refine the court, and civilize Their barbarous natures. Massinger.

2. (Math.)

Definition: A statement of a principle to be demonstrated.

Note: 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, n., 5. Binomial theorem. (Math.) See under Binomial.

– Negative theorem, a theorem which expresses the impossibility of any assertion.

– Particular theorem (Math.), a theorem which extends only to a particular quantity.

– Theorem of Pappus. (Math.) See Centrobaric method, under Centrobaric.

– Universal theorem (Math.), a theorem which extends to any quantity without restriction.

The"o*rem, v. t.

Definition: To formulate into a theorem.

Source: Webster’s Unabridged Dictionary 1913 Edition

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