tangent-and-normal coordinates

  • 1Normal coordinates — In differential geometry, normal coordinates at a point p in a differentiable manifold equipped with a symmetric affine connection are a local coordinate system in a neighborhood of p obtained by applying the exponential map to the tangent space… …

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  • 2Normal mapping — used to re detail simplified meshes. In 3D computer graphics, normal mapping, or Dot3 bump mapping , is a technique used for faking the lighting of bumps and dents. It is used to add details without using more polygons. A common use of this… …

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  • 3Curvilinear coordinates — Curvilinear, affine, and Cartesian coordinates in two dimensional space Curvilinear coordinates are a coordinate system for Euclidean space in which the coordinate lines may be curved. These coordinates may be derived from a set of Cartesian… …

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  • 4Covariance and contravariance of vectors — For other uses of covariant or contravariant , see covariance and contravariance. In multilinear algebra and tensor analysis, covariance and contravariance describe how the quantitative description of certain geometric or physical entities… …

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  • 5Rational normal curve — In mathematics, the rational normal curve is a smooth, rational curve C of degree n in projective n space mathbb{P}^n. It is a simple example of a projective variety. The twisted cubic is the special case of n =3.DefinitionThe rational normal… …

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  • 6Surface normal — Normal vector redirects here. For a normalized vector, or vector of length one, see unit vector. A polygon and two of its normal vectors …

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  • 7Orthogonal coordinates — In mathematics, orthogonal coordinates are defined as a set of d coordinates q = (q1, q2, ..., qd) in which the coordinate surfaces all meet at right angles (note: superscripts are indices, not exponents). A coordinate surface for a particular… …

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  • 8Greek letters used in mathematics, science, and engineering — Greek alphabet Αα Alpha Νν Nu Ββ Beta …

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  • 9Mechanics of planar particle motion — Classical mechanics Newton s Second Law History of classical mechanics  …

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  • 10Polar coordinate system — Points in the polar coordinate system with pole O and polar axis L. In green, the point with radial coordinate 3 and angular coordinate 60 …

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