1. [n]  a diagrammatic representation of the earth's surface (or part of it)
2. [n]  a function such that for every element of one set there is a unique element of another set
3. [v]  to establish a mapping (of mathematical elements or sets)
4. [v]  explore or survey for the purpose of making a map; "We haven't even begun to map the many galaxies that we know exist"
5. [v]  plan, delineate, or arrange in detail; "map one's future"
6. [v]  make a map of; show or establish the features of details of; "map the surface of Venus"
7. [v]  depict as if on a map; "sorrow was mapped on the mother's face"
8. [v]  locate within a specific region of a chromosome in relation to known DNA or gene sequences; "map the genes"

Map
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1. \Map\, n. [From F. mappe, in mappemonde map of the world,
   fr. L. mappa napkin, signal cloth; -- a Punic word. Cf.
   {Apron}, {Napkin}, {Nappe}.]
   1. A representation of the surface of the earth, or of some
      portion of it, showing the relative position of the parts
      represented; -- usually on a flat surface. Also, such a
      representation of the celestial sphere, or of some part of
      it.
   Note: There are five principal kinds of projection used in
         making maps: the orthographic, the stereographic, the
         globuar, the conical, and the cylindrical, or
         Mercator's projection. See {Projection}.
   2. Anything which represents graphically a succession of
      events, states, or acts; as, an historical map.
            Thus is his cheek the map of days outworn. --Shak.
   {Map lichen} (Bot.), a lichen ({Lecidea geographica}.)
      growing on stones in curious maplike figures. --Dr. Prior.
   

2. \Map\, v. t. [imp. & p. p. {Mapped}; p. pr. & vb. n.
   {Mapping}.]
   To represent by a map; -- often with out; as, to survey and
   map, or map out, a county. Hence, figuratively: To represent
   or indicate systematically and clearly; to sketch; to plan;
   as, to map, or map out, a journey; to map out business.
         I am near to the place where they should meet, if
         Pisanio have mapped it truly.            --Shak.
   

1. 1. Manufacturing Automation Protocol.

   2. Mathematical Analysis without Programming.

2. 1. function.

   2. In functional programming, the most common higher-order function over lists. Map applies its first argument to each element of its second argument (a list) and returns the list of results.

           map :: (a -> b) -> [a] -> [b]
           map f []     = []
           map f (x:xs) = f x : map f xs

   This can be generalised to types other than lists.