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irreducible

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irreducible


  2  definitions  found 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Irreducible  \Ir`re*du"ci*ble\,  a. 
  1.  Incapable  of  being  reduced,  or  brought  into  a  different 
  state;  incapable  of  restoration  to  its  proper  or  normal 
  condition;  as  an  irreducible  hernia. 
 
  2.  (Math.)  Incapable  of  being  reduced  to  a  simpler  form  of 
  expression;  as  an  irreducible  formula. 
 
  {Irreducible  case}  (Alg.),  a  particular  case  in  the  solution 
  of  a  cubic  equation,  in  which  the  formula  commonly 
  employed  contains  an  imaginary  quantity,  and  therefore 
  fails  in  its  application.  --  {Ir`re*du"ci*ble*ness},  n.  -- 
  --  {Ir`re*du"ci*bly},  adv 
 
  From  WordNet  r  1.6  [wn]: 
 
  irreducible 
  adj  :  incapable  of  being  made  smaller  or  simpler;  "an  irreducible 
  minimum";  "an  irreducible  formula"  [ant:  {reducible}] 




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