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determinant

## 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
```