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Affine transformation
Affine transformation In geometry, an affine transformation or affine map (from the Latin, affinis, "connected with") between ... math> In the finite-dimensional case each affine transformation is given by a matrix ...
http://en.wikipedia.org/wiki/Affine_transformation - 17k - Cached - Similar pages

Proper map
Proper map In mathematics, a continuous function between topological ... p i are in S. Then a map f : X → Y is proper if ... → Y is a proper and continuous map, and Y is a first countable space ... is compact if and only if the map from that space to a single point ... proper. More generally, finite morphisms are proper. Affine varieties of non-zero dimension are ...
http://en.wikipedia.org/wiki/Proper_map - 7k - Cached - Similar pages

Affine arithmetic
Affine arithmetic Affine arithmetic (AA) is a model for self ... the quantities of interest are represented as affine combinations (affine forms) of certain primitive variables, which stand ... data or approximations made during the computation. Affine arithmetic is meant to be an ...
http://en.wikipedia.org/wiki/Affine_arithmetic - 29k - Cached - Similar pages

Horseshoe map
Horseshoe map In the mathematics of chaos theory, a horseshoe map is any member of a class of ... in the study of dynamical systems. The map was introduced by Stephen Smale while studying ... der Pol oscillator. The action of the map is defined geometrically by squishing the square ... the square under the action of the map. They go to the side caps ...
http://en.wikipedia.org/wiki/Horseshoe_map - 21k - Cached - Similar pages

Affine space
Affine space In mathematics, an affine space is an abstract structure that generalises the affine-geometric properties of Euclidean space. In an affine space, one can subtract points to get ... since there is no origin. One-dimensional affine space is the affine line. Physical ...
http://en.wikipedia.org/wiki/Affine_space - 8k - Cached - Similar pages

Inclusion map
Inclusion map In mathematics, if A is a subset of B, then the inclusion map (also inclusion function, or canonical injection) is ... function arrow above to denote an inclusion map. This and other analogous injective functions from ... structure closed under some operations, the inclusion map will be a homomorphism for tautological reasons ... Another example, more sophisticated, is that of affine schemes, for which the inclusions Spec( ...
http://en.wikipedia.org/wiki/Inclusion_map - 3k - Cached - Similar pages

List of mathematics articles (A-C)
... Advection equation Af — Al AF-heap -- Affine -- Affine arithmetic -- Affine combination -- Affine connection -- Affine geometry -- Affine group -- Affine hull -- Affine ...
http://en.wikipedia.org/wiki/List_of_mathematics_articles_(A-C) - 101k - Cached - Similar pages

Simplex
... in the above gives an n-dimensional affine subspace of R n+1 containing the ... 0, …, 1). There is a canonical map from the standard n-simplex to an ... a general simplex is often called an affine n-simplex, to emphasize that the canonical map is an affine transformation. It is also sometimes called ...
http://en.wikipedia.org/wiki/Simplex - 13k - Cached - Similar pages

User:Mathbot/Changes mathlist
... Added Cauchy's convergence test Added Circle map Added Cubic honeycomb Added Empirical process Added ... theories Added Locality preserving hashing Added Moment map Added Pattern theory Added Snub 24-cell ... which is not continuous Removed A linear map which is not continuous Removed Bilateral symmetry ... quantifier Added Brillouin function Added Discontinuous linear map Added Helmholtz theorem Added OpenBUGS Added Socle ... 27 Removed Semilinear Set Added A linear map which is not continuous Added Binet- ...
http://en.wikipedia.org/wiki/User:Mathbot/Changes_mathlist - 167k - Cached - Similar pages

Manifold
... Euclidean spaces together; for example, a world map can be obtained by gluing many maps ... circle Figure 1: The four charts each map part of the circle to an open ... two charts χ top and χ right map this part bijectively to the interval (0 ... Such a function is called a transition map. Figure 2: A circle manifold chart based ... the charts. For example, no single flat map can properly represent the entire Earth. ...
http://en.wikipedia.org/wiki/Manifold - 66k - Cached - Similar pages

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