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## 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]:

norm
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]:

norm

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}.

(1998-07-05)

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