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conformal plane

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  • 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

  • Conformal geometry — In mathematics, conformal geometry is the study of the set of angle preserving (conformal) transformations on a space. In two real dimensions, conformal geometry is precisely the geometry of Riemann surfaces. In more than two dimensions,… …   Wikipedia

  • Conformal pictures — Here are examples of conformal maps understood as deforming pictures. This technique is a generalization of domain coloring where the domain space is not colored by a fixed infinite color wheel but by a finite picture tiling the plane. A… …   Wikipedia

  • Conformal radius — In mathematics, the conformal radius is a way to measure the size of a simply connected planar domain D viewed from a point z in it. As opposed to notions using Euclidean distance (say, the radius of the largest inscribed disk with center z),… …   Wikipedia

  • Plane (geometry) — Two intersecting planes in three dimensional space In mathematics, a plane is a flat, two dimensional surface. A plane is the two dimensional analogue of a point (zero dimensions), a line (one dimension) and a space (three dimensions). Planes can …   Wikipedia

  • conformal mapping —    The transposition and solution of plane flow problems in a complex plane [16] …   Lexicon of Cave and Karst Terminology

  • Carathéodory's theorem (conformal mapping) — See also Carathéodory s theorem for other meanings. In mathematics, Carathéodory s theorem in complex analysis states that if U is a simply connected open subset of the complex plane C, whose boundary is a Jordan curve Γ then the Riemann map : f …   Wikipedia

  • State Plane Coordinate System — The State Plane Coordinate System (SPS or SPCS) is a set of 126 geographic zones or coordinate systems designed for specific regions of the United States. Each state contains one or more state plane zones, the boundaries of which usually follow… …   Wikipedia

  • Area theorem (conformal mapping) — In the mathematical theory of conformal mappings, the area theorem gives an inequality satisfied bythe power series coefficients of certain conformal mappings. The theorem is called by that name, not because of its implications, but rather… …   Wikipedia

  • Poincaré half-plane model — Stellated regular heptagonal tiling of the model.In non Euclidean geometry, the Poincaré half plane model is the upper half plane, together with a metric, the Poincaré metric, that makes it a model of two dimensional hyperbolic geometry.It is… …   Wikipedia

  • Upper half-plane — In mathematics, the upper half plane H is the set of complex numbers with positive imaginary part y: The term is associated with a common visualization of complex numbers with points in the plane endowed with Cartesian coordinates, with the Y… …   Wikipedia

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