catflap.org Online Dictionary Query

  bounded
       
           In domain theory, a subset S of a cpo X is
          bounded if there exists x in X such that for all s in S, s <=
          x.  In other words, there is some element above all of S.  If
          every bounded subset of X has a least upper bound then X is
          boundedly complete.
       
          ("<=" is written in LaTeX as \subseteq).
       
          (1995-02-03)
       
       

  Bound \Bound\, v. t. [imp. & p. p. Bounded; p. pr. & vb. n.
     Bounding.]
     [1913 Webster]
     1. To limit; to terminate; to fix the furthest point of
        extension of; -- said of natural or of moral objects; to
        lie along, or form, a boundary of; to inclose; to
        circumscribe; to restrain; to confine.
        [1913 Webster]
  
              Where full measure only bounds excess. --Milton.
        [1913 Webster]
  
              Phlegethon . . .
              Whose fiery flood the burning empire bounds.
                                                    --Dryden.
        [1913 Webster]
  
     2. To name the boundaries of; as, to bound France.
        [1913 Webster]

  bounded \bounded\ adj.
     1. having the limits or boundaries established.
  
     Syn: delimited.
          [WordNet 1.5]
  
     2. having a defined physical border.
        [WordNet 1.5]

  Bound \Bound\, v. t. [imp. & p. p. Bounded; p. pr. & vb. n.
     Bounding.]
     1. To limit; to terminate; to fix the furthest point of
        extension of; -- said of natural or of moral objects; to
        lie along, or form, a boundary of; to inclose; to
        circumscribe; to restrain; to confine.
  
              Where full measure only bounds excess. --Milton.
  
              Phlegethon . . . Whose fiery flood the burning
              empire bounds.                        --Dryden.
  
     2. To name the boundaries of; as, to bound France.

  bounded
       adj : having the limits or boundaries established; "a delimited
             frontier through the disputed region" [syn: delimited]

  bounded
     Αγγλικά a.
     φραγμένος, περιορισμένος

  bounded
     a.
     1 (lb en analysis of a set) That can be enclosed within a ball of
  finite radius.
     2 (lb en set theory order theory of a poset X with partial order ≤)
  That contains a ''least element'', ''a'', and a ''greatest element'',
  ''b'', such that for all ''x'' ∈ ''X'', ''a'' ≤ ''x'' ≤ ''b''.
     vb.
     (infl of en bound  ed-form)

  bounded
     a.
     1 (lb en analysis of a set) That can be enclosed within a ball of
  finite radius.
     2 (lb en set theory order theory of a poset X with partial order ≤)
  That contains a ''least element'', ''a'', and a ''greatest element'',
  ''b'', such that for all ''x'' ∈ ''X'', ''a'' ≤ ''x'' ≤ ''b''.
     vb.
     (infl of en bound  ed-form)

  bounded
     a.
     1 (lb en analysis of a set) That can be enclosed within a ball of
  finite radius.
     2 (lb en set theory order theory of a poset X with partial order ≤)
  That contains a ''least element'', ''a'', and a ''greatest element'',
  ''b'', such that for all ''x'' ∈ ''X'', ''a'' ≤ ''x'' ≤ ''b''.
     vb.
     (infl of en bound  ed-form)

  bounded
     a.
     1 (lb en analysis of a set) That can be enclosed within a ball of
  finite radius.
     2 (lb en set theory order theory of a poset X with partial order ≤)
  That contains a ''least element'', ''a'', and a ''greatest element'',
  ''b'', such that for all ''x'' ∈ ''X'', ''a'' ≤ ''x'' ≤ ''b''.
     vb.
     (infl of en bound  ed-form)

  bounded
     Englanti vb.
     (en-v-taivm b ound ed)

  Bounded /bˈaʊndɪd/
  تنطّط

  bounded /bˈaʊndɪd/
   [mat] omezený

  bounded /bˈaʊndɪd/
  ohraničený

  bounded /bˈaʊndɪd/
  begrenzt, umschlossen  [geogr.]
        "The ground was bounded by the main road on one side and a meadow on the other."  - Der Platz war auf einer Seite von der Hauptstraße und auf der anderen von einer Wiese begrenzt.
   see: bounded stream
  

  bounded /bˈaʊndɪd/
  beschränkt  [math.]
   see: bounded sequence, bounded function, bounded set, bounded variable, bounded above, bounded below
  

  bounded /bˈaʊndɪd/
  eingeschränkt 
        "be bounded by law"  - gesetzlich eingeschränkt sein

  bounded /bˈaʊndɪd/
  gesprungen, gehüpft
   see: bound, bounding
  

  bounded //ˈbaʊndɪd// 
  rajoitettu
  type of set

  bounded /bˈaʊndɪd/
  ograničen, ograničena, oivičen, omeđen, vezan

  
/ˈbaʊndəd/, /ˈbaʊndɪd/