map onto itself
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map — I. noun Etymology: Medieval Latin mappa, from Latin, napkin, towel Date: 1527 1. a. a representation usually on a flat surface of the whole or a part of an area b. a representation of the celestial sphere or a part of it 2. something that… … New Collegiate Dictionary
Map — /map/, n. Walter, c1140 1209?, Welsh ecclesiastic, poet, and satirist. Also, Mapes /mayps, may peez/. * * * I Graphic representation, drawn to scale and usually on a flat surface, of features usually geographic, geologic, or geopolitical of an… … Universalium
map — mappable, adj. mapper, n. /map/, n., v., mapped, mapping. n. 1. a representation, usually on a flat surface, as of the features of an area of the earth or a portion of the heavens, showing them in their respective forms, sizes, and relationships… … Universalium
MAP — See modified American plan. * * * I Graphic representation, drawn to scale and usually on a flat surface, of features usually geographic, geologic, or geopolitical of an area of the Earth or of any celestial body. Globes are maps represented on… … Universalium
Arnold's cat map — In mathematics, Arnold s cat map is a chaotic map from the torus into itself, named after Vladimir Arnold, who demonstrated its effects in the 1960s using an image of a cat. [*fr icon cite book|author=V. I. Arnold|coauthors=A.… … Wikipedia
Geodesic map — In mathematics mdash; specifically, in differential geometry mdash; a geodesic map (or geodesic mapping or geodesic diffeomorphism) is a function that preserves geodesics . More precisely, given two (pesudo )Riemannian manifolds ( M , g ) and ( N … Wikipedia
Conformal map — For other uses, see Conformal (disambiguation). A rectangular grid (top) and its image under a conformal map f (bottom). It is seen that f maps pairs of lines intersecting at 90° to pairs of curves still intersecting at 90°. In mathematics, a… … Wikipedia
Standard map — Orbits of the standard map for K = 0.6. Orbits of the standard map for … Wikipedia
Linear map — In mathematics, a linear map, linear mapping, linear transformation, or linear operator (in some contexts also called linear function) is a function between two vector spaces that preserves the operations of vector addition and scalar… … Wikipedia
Harmonic map — A (smooth) map φ: M → N between Riemannian manifolds M and N is called harmonic if it is a critical point of the energy functional E (φ).This functional E will be defined precisely below mdash;one way of understanding it is to imagine that M is… … Wikipedia
Tube map — as of April 2011. Part of a series of articles on The Tube … Wikipedia
