geometric mapping

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• Geometric group theory — is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties of such groups and topological and geometric properties of spaces on which these groups act (that is, when the… …   Wikipedia

• Geometric function theory — is the study of geometric properties of analytic functions. A fundamental result in the theory is the Riemann mapping theorem …   Wikipedia

• Mapping class group — In mathematics, in the sub field of geometric topology, the mapping class group is an important algebraic invariant of a topological space. Briefly, the mapping class group is a discrete group of symmetries of the space. Contents 1 Motivation 2… …   Wikipedia

• Mapping torus — In mathematics, the mapping torus in topology of a homeomorphism f of some topological space X to itself is a particular geometric construction with f. Take the cartesian product of X with a closed interval I, and glue the boundary components… …   Wikipedia

• Geometric genus — In algebraic geometry, the geometric genus is a basic birational invariant p g of algebraic varieties, defined for non singular complex projective varieties (and more generally for complex manifolds) as the Hodge number h n ,0 (equal to h 0, n by …   Wikipedia

• Unicode Geometric Shapes — Geometric Shapes is a Unicode block of 96 symbols at hex codepoint range 25A0 25FF. This range contains various geometric shapes.Font coverageOnly two font sets mdash;Code2000 and the DejaVu family mdash;incude coverage for each of the glyphs in… …   Wikipedia

• Bump mapping — is a computer graphics technique where at each pixel, a perturbation to the surface normal of the object being rendered is looked up in a heightmap and applied before the illumination calculation is done (see, for instance, Phong shading). The… …   Wikipedia

• Squeeze mapping — In linear algebra, a squeeze mapping is a type of linear map that preserves Euclidean area of regions in the Cartesian plane, but is not a Euclidean motion.For a fixed positive real number r , the mapping :( x , y ) rarr; ( r x , y / r ) is the… …   Wikipedia

• Arithmetic and geometric Frobenius — In mathematics, the Frobenius endomorphism is defined in any commutative ring R that has characteristic p , where p is a prime number. Namely, the mapping φ that takes r in R to r p is a ring endomorphism of R .The image of φ is then R p , the… …   Wikipedia

• Web mapping — is the process of designing, implementing, generating and delivering maps on the World Wide Web and its product. While web mapping primarily deals with technological issues, web cartography additionally studies theoretic aspects: the use of web… …   Wikipedia

• Displacement mapping — is an alternative computer graphics technique in contrast to bump mapping, normal mapping, and parallax mapping, using a (procedural ) texture or height map to cause an effect where the actual geometric position of points over the textured… …   Wikipedia