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determinant

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determinant


  3  definitions  found 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Determinant  \De*ter"mi*nant\,  a.  [L.  determinans,  p.  pr  of 
  determinare:  cf  F.  d['e]terminant.] 
  Serving  to  determine  or  limit;  determinative. 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Determinant  \De*ter"mi*nant\,  n. 
  1.  That  which  serves  to  determine;  that  which  causes 
  determination. 
 
  2.  (Math.)  The  sum  of  a  series  of  products  of  several 
  numbers,  these  products  being  formed  according  to  certain 
  specified  laws; 
 
  Note:  thus  the  determinant  of  the  nine  numbers  a,  b,  c,a', 
  b',  c',a'',  b'',  c'',  is  a  b'  c''  -  a  b''  c'  +  a'  b'' 
  c]  -  a'  b  c''  +  a''  b'  c.  The  determinant  is  written  by 
  placing  the  numbers  from  which  it  is  formed  in  a  square 
  between  two  vertical  lines.  The  theory  of  determinants 
  forms  a  very  important  branch  of  modern  mathematics. 
 
  3.  (Logic)  A  mark  or  attribute,  attached  to  the  subject  or 
  predicate,  narrowing  the  extent  of  both  but  rendering 
  them  more  definite  and  precise.  --Abp.  Thomson. 
 
  From  WordNet  r  1.6  [wn]: 
 
  determinant 
  adj  :  having  the  power  or  quality  of  deciding;  "the  crucial 
  experiment";  "cast  the  deciding  vote";  "the 
  determinative  (or  determinant)  battle"  [syn:  {crucial}, 
  {deciding(a)},  {determinative},  {determining(a)}] 
  n  1:  a  determining  or  causal  element  or  factor:  "education  is  an 
  important  determinant  of  one's  outlook  onlife"  [syn:  {determiner}, 
  {determinative},  {determining  factor},  {causal  factor}] 
  2:  a  square  matrix  used  to  solve  simultaneous  equations 




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