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Meaning of THEOREM

Pronunciation:  'theeurum

WordNet Dictionary
 
 Definition: 
  1. [n]  an idea accepted as a demonstrable truth
  2. [n]  a proposition deducible from basic postulates
 
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 See Also: binomial theorem, idea, proposition, thought

 

 

Webster's 1913 Dictionary
 
 Definition: 
  1. \The"o*rem\, n. [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}, 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.
    
  2. \The"o*rem\, v. t.
    To formulate into a theorem.
    
 
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