mapping

/map"ing/, n.
1. the act or operation of making a map or maps.
2. Math. function (def. 4a).
[1765-75; MAP + -ING1]

* * *

      any prescribed way of assigning to each object in one set a particular object in another (or the same) set. Mapping applies to any set: a collection of objects, such as all whole numbers, all the points on a line, or all those inside a circle. For example, “multiply by two” defines a mapping of the set of all whole numbers onto the set of even numbers. A rotation is a map of a plane or of all of space into itself. In mathematics, the words mapping, map, and transformation tend to be used interchangeably.

      The mathematical notion of mapping is an abstraction of the process of making a geographical map. It is now considered to be a fundamental notion pervading much of mathematics. Important special classes of mappings are homomorphisms (homomorphism) in algebra, isometries in geometry, operators (operator) in analysis, homeomorphisms (homeomorphism) in topology, representationsin group theory (algebra, modern), and isomorphisms in a variety of contexts (see foundations of mathematics: Isomorphic structures (mathematics, foundations of)).

Robert Osserman
 

* * *


Universalium. 2010.

Look at other dictionaries:

  • mapping — n. (Math.) A function such that for every element of one set there is a unique element of another set. Syn: map, correspondence. [WordNet 1.5] …   The Collaborative International Dictionary of English

  • mapping — mapping. = gene mapping (см.). (Источник: «Англо русский толковый словарь генетических терминов». Арефьев В.А., Лисовенко Л.А., Москва: Изд во ВНИРО, 1995 г.) …   Молекулярная биология и генетика. Толковый словарь.

  • Mapping — [mạ̈ping; aus engl. mapping = Kartenzeichnen, Kartographie] s; s, s: Ekg Technik mit Mikroelektroden, die an vielen Stellen des Epi und Endokards aufgesetzt werden, so daß ein landkartenartiges Ekg entsteht …   Das Wörterbuch medizinischer Fachausdrücke

  • mapping — mapping. См. картирование генов. (Источник: «Англо русский толковый словарь генетических терминов». Арефьев В.А., Лисовенко Л.А., Москва: Изд во ВНИРО, 1995 г.) …   Молекулярная биология и генетика. Толковый словарь.

  • mapping — (izg. màping) m DEFINICIJA inform., v. mapiranje ETIMOLOGIJA engl …   Hrvatski jezični portal

  • mapping — [map′iŋ] n. Math. a transformation taking the points of one space into the points of the same or another space …   English World dictionary

  • Mapping — Der Begriff Mapping (zu deutsch Abbildung oder Kartierung, wörtlich eine Karte machen) hat in den letzten Jahrzehnten eine Reihe zusätzlicher Bedeutungen erhalten. Zum ursprünglichen Inhalt – ein begrenztes Gebiet kartografisch erfassen; erhobene …   Deutsch Wikipedia

  • Mapping — In geomatics or geospatial science and technology: Mapping usually refers to map making and often used instead of cartography. Mapping term is also sometimes used for geospatial data collection (e.g. LIDAR mapping) but in fact it is not mapping… …   Wikipedia

  • Mapping — Cette page d’homonymie répertorie les différents sujets et articles partageant un même nom. Sur les autres projets Wikimedia : « Mapping », sur le Wiktionnaire (dictionnaire universel) Mapping est un mot anglais possédant de… …   Wikipédia en Français

  • Mapping — Umschlüsselung; bipartiter Graph; Entsprechung * * * I Mapping   [dt. »Abbilden«] das, Computergrafik: Verfahren zum beschleunigten Berechnen von Texturen bei 2D und 3D Darstellung. Es wird insbesondere dann eingesetzt, wenn nicht ebene… …   Universal-Lexikon

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”

We are using cookies for the best presentation of our site. Continuing to use this site, you agree with this.