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From The Free On-line Dictionary of Computing (27 SEP 03) : [ foldoc ]


  inverse
       
           Given a function, f : D -> C, a function g : C
          -> D is called a left inverse for f if for all d in D, g (f d)
          = d and a right inverse if, for all c in C, f (g c) = c and an
          inverse if both conditions hold.  Only an injection has a
          left inverse, only a surjection has a right inverse and only
          a bijection has inverses.  The inverse of f is often written
          as f with a -1 superscript.
       
          (1996-03-12)

From The Collaborative International Dictionary of English v.0.44 : [ gcide ]


  Inverse \In"verse\, n.
     That which is inverse.
     [1913 Webster]
  
           Thus the course of human study is the inverse of the
           course of things in nature.              --Tatham.
     [1913 Webster]

From The Collaborative International Dictionary of English v.0.44 : [ gcide ]


  Inverse \In*verse"\, a. [L. inversus, p. p. of invertere: cf. F.
     inverse. See Invert.]
     [1913 Webster]
     1. Opposite in order, relation, or effect; reversed;
        inverted; reciprocal; -- opposed to direct.
        [1913 Webster]
  
     2. (Bot.) Inverted; having a position or mode of attachment
        the reverse of that which is usual.
        [1913 Webster]
  
     3. (Math.) Opposite in nature and effect; -- said with
        reference to any two operations, which, when both are
        performed in succession upon any quantity, reproduce that
        quantity; as, multiplication is the inverse operation to
        division. The symbol of an inverse operation is the symbol
        of the direct operation with -1 as an index. Thus sin-1 x
        means the arc or angle whose sine is x.
        [1913 Webster]
  
     Inverse figures (Geom.), two figures, such that each point
        of either figure is inverse to a corresponding point in
        the order figure.
  
     Inverse points (Geom.), two points lying on a line drawn
        from the center of a fixed circle or sphere, and so
        related that the product of their distances from the
        center of the circle or sphere is equal to the square of
        the radius.
  
     Inverse ratio, or Reciprocal ratio (Math.), the ratio of
        the reciprocals of two quantities.
  
     Inverse proportion, or Reciprocal proportion, an equality
        between a direct ratio and a reciprocal ratio; thus, 4 : 2
        : : 1/3 : 1/6, or 4 : 2 : : 3 : 6, inversely.
        [1913 Webster]

From Webster's Revised Unabridged Dictionary (1913) : [ web1913 ]


  Inverse \In*verse"\, a. [L. inversus, p. p. of invertere: cf. F.
     inverse. See Invert.]
     1. Opposite in order, relation, or effect; reversed;
        inverted; reciprocal; -- opposed to direct.
  
     2. (Bot.) Inverted; having a position or mode of attachment
        the reverse of that which is usual.
  
     3. (Math.) Opposite in nature and effect; -- said with
        reference to any two operations, which, when both are
        performed in succession upon any quantity, reproduce that
        quantity; as, multiplication is the inverse operation to
        division. The symbol of an inverse operation is the symbol
        of the direct operation with -1 as an index. Thus sin-1 x
        means the arc whose sine is x.
  
     Inverse figures (Geom.), two figures, such that each point
        of either figure is inverse to a corresponding point in
        the order figure.
  
     Inverse points (Geom.), two points lying on a line drawn
        from the center of a fixed circle or sphere, and so
        related that the product of their distances from the
        center of the circle or sphere is equal to the square of
        the radius.
  
     Inverse, or Reciprocal, ratio (Math.), the ratio of the
        reciprocals of two quantities.
  
     Inverse, or Reciprocal, proportion, an equality between
        a direct ratio and a reciprocal ratio; thus, 4 : 2 : : 1/3
        : 1/6, or 4 : 2 : : 3 : 6, inversely.

From Webster's Revised Unabridged Dictionary (1913) : [ web1913 ]


  Inverse \In"verse\, n.
     That which is inverse.
  
           Thus the course of human study is the inverse of the
           course of things in nature.              --Tatham.

From WordNet (r) 2.0 : [ wn ]


  inverse
       adj 1: reversed (turned backward) in order or nature or effect
              [syn: reverse]
       2: opposite in nature or effect or relation to another quantity
          ; "a term is in inverse proportion to another term if it
          increases (or decreases) as the other decreases (or
          increases)" [ant: direct]
       n : something inverted in sequence or character or effect; "when
           the direct approach failed he tried the inverse" [syn: opposite]

From Greek Wiktionary: All languages (2023-07-27) : [ dictinfo.com:wikt-el-ALL-2023-07-27 ]


  inverse
     Γαλλικά a.
     αντίστροφος, ανάποδος
     Ίντο adv.
     αντίστροφα

From English Wiktionary: All languages (2023-07-27) : [ dictinfo.com:wikt-en-ALL-2023-07-27 ]


  inverse
     Danish a.
     (da-e-form of: invers)
     Dutch a.
     (infl of nl invers  infl)
     Dutch n.
     #English
     German a.
     (de-adj form of: invers)
     Latin part.p.
     (inflection of la inversus  voc m s)

From English Wiktionary: English language only (2023-07-27) : [ dictinfo.com:wikt-en-en-2023-07-27 ]


  inverse
     a.
     1 opposite in effect, nature or order.
     2 reverse, opposite in order.
     3 (lb en botany) Inverted; having a position or mode of attachment
  the reverse of that which is usual.
     4 (lb en mathematics) Having the properties of an '''inverse''';
  ''said with reference to any two operations, which, when both are
  performed in succession upon any quantity, reproduce that quantity''.
     5 (lb en geometry) That has the property of being an '''inverse'''
  (the result of a circle inversion of a given point or geometrical
  figure); that is constructed by circle inversion. Category:en:Curves
     6 (lb en category theory of a category) Whose every element has an
  '''inverse''' (morphism which is both a left inverse and a right
  inverse).
     n.
     1 An inverted state: a state in which something has been turned (lb
  en properly) upside down or (lb en loosely) inside out or backwards.
     2 The result of an inversion, ''particularly'':
     3 # The reverse of any procedure or process.
     4 # (lb en mathematics) A ratio etc. in which the antecedents and
  consequents are switched.
     5 # (lb en geometry) The result of a circle inversion; the set of all
  such points; the curve described by such a set.
     6 # (lb en logic) The non-truth-preserving proposition constructed by
  negating both the premise and conclusion of an initially given
  proposition.
     vb.
     (lb en surveying) To compute the bearing and distance between two
  points.

From English Wiktionary: Western, Greek, and Slavonic languages only (2023-07-27) : [ dictinfo.com:wikt-en-Western_Greek_Slavonic-2023-07-27 ]


  inverse
     Danish a.
     (da-e-form of: invers)
     Dutch a.
     (infl of nl invers  infl)
     Dutch n.
     #English
     German a.
     (de-adj form of: invers)
     Latin part.p.
     (inflection of la inversus  voc m s)

From English Wiktionary: Western languages only (2023-07-27) : [ dictinfo.com:wikt-en-Western-2023-07-27 ]


  inverse
     Danish a.
     (da-e-form of: invers)
     Dutch a.
     (infl of nl invers  infl)
     Dutch n.
     #English
     German a.
     (de-adj form of: invers)
     Latin part.p.
     (inflection of la inversus  voc m s)

From Finnish Wiktionary: All languages (2023-07-27) : [ dictinfo.com:wikt-fi-ALL-2023-07-27 ]


  inverse
     Englanti n.
     1 (yhteys matematiikka k=en) käänteisarvo
     2 (yhteys logiikka k=en) käänteislause

From Swedish Wiktionary: All languages (2023-07-27) : [ dictinfo.com:wikt-sv-ALL-2023-07-27 ]


  inverse
     Franska a.
     invers, omvänd
     Franska n.
     invers, omvändning

From German - English Ding/FreeDict dictionary ver. 1.9-fd1 : [ freedict:deu-eng ]


  Inverse /ˈɪnfɜzə/ 
   [math.] inverse

From English-Arabic FreeDict Dictionary ver. 0.6.3 : [ freedict:eng-ara ]


  Inverse /ɪnvˈɜːs/
  معكوس

From English-български език FreeDict+WikDict dictionary ver. 2023.05.29 : [ freedict:eng-bul ]


  inverse //ɪnˈvɝs// //ˈɪnvɝs// 
  1. реципрочен
  (mathematics) having the properties of an inverse
  2. противоположен
  opposite in effect or nature
  3. обратен
  reverse, opposite in order

From English-български език FreeDict+WikDict dictionary ver. 2023.05.29 : [ freedict:eng-bul ]


  inverse //ɪnˈvɝs// //ˈɪnvɝs// 
  1. реципрочно число
  math: element
  2. противоположност
  opposite of a given due to contrary effects or nature
  3. обръщане
  reverse procedure

From English-Czech dicts.info/FreeDict Dictionary ver. 0.1.3 : [ freedict:eng-ces ]


  inverse /ɪnvˈɜːs/ 
  inverzní

From English-Czech dicts.info/FreeDict Dictionary ver. 0.1.3 : [ freedict:eng-ces ]


  inverse /ɪnvˈɜːs/
  převrácený

From English-Czech dicts.info/FreeDict Dictionary ver. 0.1.3 : [ freedict:eng-ces ]


  inverse /ɪnvˈɜːs/
  opačný

From English-Czech dicts.info/FreeDict Dictionary ver. 0.1.3 : [ freedict:eng-ces ]


  inverse /ɪnvˈɜːs/
  obrácený