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theoremmore about theorem

theorem


  3  definitions  found 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  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 
 
  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. 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Theorem  \The"o*rem\,  v.  t. 
  To  formulate  into  a  theorem. 
 
  From  WordNet  r  1.6  [wn]: 
 
  theorem 
  n  1:  a  proposition  deducible  from  basic  postulates 
  2:  an  idea  accepted  as  a  demonstrable  truth 




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