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normmore about norm


  3  definitions  found 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
  Norm  \Norm\,  n.  [L.  norma  a  rule  See  {Normal},  a.] 
  1.  A  rule  or  authoritative  standard;  a  model;  a  type 
  2.  (Biol.)  A  typical,  structural  unit;  a  type  --Agassiz. 
  From  WordNet  r  1.6  [wn]: 
  n  1:  a  standard  or  model  or  pattern  regarded  as  typical:  "the 
  current  middle-class  norm  of  two  children  per  family" 
  2:  a  statistic  describing  the  location  of  a  distribution:  "it 
  set  the  norm  for  American  homes"  [syn:  {average}] 
  From  The  Free  On-line  Dictionary  of  Computing  (13  Mar  01)  [foldoc]: 
    A  real-valued  function  modelling  the  length  of  a 
  {vector}.  The  norm  must  be  {homogeneous}  and  {symmetric}  and 
  fulfil  the  following  condition:  the  shortest  way  to  reach  a 
  point  is  to  go  straight  towards  it  Every  {convex}  symmetric 
  {closed}  surface  surrounding  point  0  introduces  a  norm  by 
  means  of  {Minkowski  functional};  all  vectors  that  end  on  the 
  surface  have  the  same  norm  then. 
  The  most  popular  norm  is  the  {Euclidean  norm};  it  is 
  calculated  by  summing  up  squares  of  all  coordinates  and  taking 
  the  square  root;  this  is  the  essence  of  {Pythagorus's 
  theorem}.  In  the  infinite-dimensional  case,  the  sum  is 
  infinite  or  is  replaced  with  an  integral  when  the  number  of 
  dimensions  is  {uncountable}. 

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