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homogeneous

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homogeneous


  3  definitions  found 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Homogeneous  \Ho`mo*ge"ne*ous\,  a.  [Gr.  ?;  ?  the  same  +  ?  race, 
  kind:  cf  F.  homog[`e]ne.  See  {Same},  and  {Kin}.] 
  1.  Of  the  same  kind  of  nature;  consisting  of  similar  parts 
  or  of  elements  of  the  like  nature;  --  opposed  to 
  heterogeneous;  as  homogeneous  particles,  elements,  or 
  principles;  homogeneous  bodies. 
 
  2.  (Alg.)  Possessing  the  same  number  of  factors  of  a  given 
  kind  as  a  homogeneous  polynomial. 
 
  From  WordNet  r  1.6  [wn]: 
 
  homogeneous 
  adj  :  of  the  same  or  similar  kind  or  nature;  "a  tight-knit 
  homogeneous  society"  [ant:  {heterogeneous}] 
 
  From  The  Free  On-line  Dictionary  of  Computing  (13  Mar  01)  [foldoc]: 
 
  homogeneous 
 
  (Or  "homogenous")  Of  uniform  nature,  similar  in  kind 
 
  1.  In  the  context  of  {distributed  systems},  {middleware}  makes 
  {heterogeneous}  systems  appear  as  a  homogeneous  entity.  For 
  example  see:  {interoperable  network}. 
 
  Constrast  {heterogeneous}. 
 
  2.    (Of  a  {polynomial})  containing  terms  of  the 
  same  degree  with  respect  to  all  the  variables,  as  in  x^2  +  2xy 
  +  y^2. 
 
  3.    (Of  a  {function})  containing  a  set  of 
  variables  such  that  when  each  is  multiplied  by  a  constant, 
  this  constant  can  be  eliminated  without  altering  the  value  of 
  the  function,  as  in  cos  x/y  +  x/y. 
 
  4.    (of  an  equation)  containing  a  homogeneous 
  function  made  equal  to  0. 
 
  (1999-05-06) 
 
 




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