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3 definitions found
 for Binomial theorem
From The Collaborative International Dictionary of English v.0.48 :

  Theorem \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.
        [1913 Webster]
  
              Not theories, but theorems (?), the intelligible
              products of contemplation, intellectual objects in
              the mind, and of and for the mind exclusively.
                                                    --Coleridge.
        [1913 Webster]
  
              By the theorems,
              Which your polite and terser gallants practice,
              I re-refine the court, and civilize
              Their barbarous natures.              --Massinger.
        [1913 Webster]
  
     2. (Math.) A statement of a principle to be demonstrated.
        [1913 Webster]
  
     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.
           [1913 Webster]
  
     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.
        [1913 Webster]

From The Collaborative International Dictionary of English v.0.48 :

  Binomial \Bi*no"mi*al\, a.
     1. Consisting of two terms; pertaining to binomials; as, a
        binomial root.
        [1913 Webster]
  
     2. (Nat. Hist.) Having two names; -- used of the system by
        which every animal and plant receives two names, the one
        indicating the genus, the other the species, to which it
        belongs.
        [1913 Webster]
  
     Binomial theorem (Alg.), the theorem which expresses the
        law of formation of any power of a binomial.
        [1913 Webster]

From WordNet (r) 3.0 (2006) :

  binomial theorem
      n 1: a theorem giving the expansion of a binomial raised to a
           given power

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