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theorem

3 definitions found

From The Collaborative International Dictionary of English v.0.48 [gcide]:

Theorem \The"o*rem\, noun [L. theorema, Gr. ? a sight, speculation, theory, theorem, fr. ? to look at, ? a spectator: cf. F. th['e]or['e]me. See {Theory}.]

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. (Math.) 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}, noun, 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.

From The Collaborative International Dictionary of English v.0.48 [gcide]:

Theorem \The"o*rem\, verb (used with an object) To formulate into a theorem. Theorematic

From WordNet (r) 3.0 (2006) [wn]:

theorem

noun

1: a proposition deducible from basic postulates

2: an idea accepted as a demonstrable truth


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