• In differential geometry, normal coordinates at a point p in a differentiable manifold equipped with a symmetric affine connection are a local coordinate...
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  • time. Note that these coordinates do not correspond to normal modes (see § Normal coordinates). In other words, they do not correspond to particular frequencies...
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  • obtain certain internal coordinates for a vibrating semi-rigid molecule, the so-called normal coordinates Qk. Normal coordinates decouple the classical...
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  • Thumbnail for Differential geometry of surfaces
    normal coordinates (u, v) as ds2 = du2 + dv2 − K(u dv – v du)2/12 + …. Taking a coordinate change from normal coordinates at p to normal coordinates at...
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  • spacetime)#Proper coordinates or Fermi coordinates Geodesic normal coordinates Fermi–Walker transport Christoffel symbols Isothermal coordinates Manasse, F....
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  • Thumbnail for Normal mode
    electrical circuits, the system can be transformed to new coordinates called normal coordinates. Each normal coordinate corresponds to a single vibrational frequency...
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  • cryptography Normal bundle Normal cone, of a subscheme in algebraic geometry Normal coordinates, in differential geometry, local coordinates obtained from...
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  • Thumbnail for Geodetic coordinates
    Geodetic coordinates are a type of curvilinear orthogonal coordinate system used in geodesy based on a reference ellipsoid. They include geodetic latitude...
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  • standard notation ISO 80000-2, which supersedes ISO 31-11, for spherical coordinates (other sources may reverse the definitions of θ and φ): The polar angle...
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  • Thumbnail for Normal mapping
    correspond to the X, Y, and Z coordinates, respectively, of the surface normal. In 1978 Jim Blinn described how the normals of a surface could be perturbed...
    18 KB (2,303 words) - 06:18, 7 March 2025
  • Thumbnail for Polar coordinate system
    a given point in a plane by using a distance and an angle as its two coordinates. These are the point's distance from a reference point called the pole...
    49 KB (6,702 words) - 21:47, 13 May 2025
  • Fourier space which uses normal modes of the wavevector as variables instead of coordinates of particles. The number of normal modes is the same as the...
    48 KB (6,990 words) - 21:24, 8 June 2025
  • Rindler coordinates are a coordinate system used in the context of special relativity to describe the hyperbolic acceleration of a uniformly accelerating...
    66 KB (7,773 words) - 18:05, 5 February 2025
  • Inertial frame of reference Local coordinates Local spacetime structure Lorentz covariance Minkowski space Normal coordinates Zee, A. (2001). Einstein's Universe:...
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  • real number coordinates. Similarly, Euclidean space is given coordinates where every point has three coordinates. The value of the coordinates depends on...
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  • Thumbnail for World Geodetic System
    geodetic data could be referred and compatibility established between the coordinates of widely separated sites of interest. Efforts of the U.S. Army, Navy...
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  • Thumbnail for Spherical coordinate system
    three-dimensional space by using a distance and two angles as its three coordinates. These are the radial distance r along the line connecting the point...
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  • Thumbnail for Geographic coordinate system
    datum obtain identical coordinates for a given physical point. However, different datums typically produce different coordinates for the same location...
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  • In geometry, Plücker coordinates, introduced by Julius Plücker in the 19th century, are a way to assign six homogeneous coordinates to each line in projective...
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  • A system of skew coordinates, sometimes called oblique coordinates, is a curvilinear coordinate system where the coordinate surfaces are not orthogonal...
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  • Thumbnail for Normal (geometry)
    In geometry, a normal is an object (e.g. a line, ray, or vector) that is perpendicular to a given object. For example, the normal line to a plane curve...
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  • Thumbnail for Latitude
    geodetic coordinates, spherical polar coordinates and ellipsoidal coordinates respectively. At an arbitrary point P consider the line PN which is normal to...
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  • Thumbnail for Gaussian integral
    because of the transform to polar coordinates (r dr dθ is the standard measure on the plane, expressed in polar coordinates Wikibooks:Calculus/Polar...
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  • Thumbnail for Curvilinear coordinates
    geometry, curvilinear coordinates are a coordinate system for Euclidean space in which the coordinate lines may be curved. These coordinates may be derived from...
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  • geometric vertices, texture coordinates, vertex normals and polygonal faces: # List of geometric vertices, with (x, y, z, [w]) coordinates, w is optional and defaults...
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  • In mathematics, the rational normal curve is a smooth, rational curve C of degree n in projective n-space Pn. It is a simple example of a projective variety;...
    5 KB (918 words) - 22:07, 19 August 2020
  • Thumbnail for Multivariate normal distribution
    normal distribution, multivariate Gaussian distribution, or joint normal distribution is a generalization of the one-dimensional (univariate) normal distribution...
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  • Thumbnail for Local tangent plane coordinates
    lines of geographical coordinates: East–west tangent to parallels, North–south tangent to meridians, and Up–down in the direction normal to the oblate spheroid...
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  • also refer to the simultaneous flip in the sign of all three spatial coordinates (a point reflection): P : ( x y z ) ↦ ( − x − y − z ) . {\displaystyle...
    251 KB (31,183 words) - 19:07, 15 June 2025
  • In addition to the actual potential (the geopotential), a theoretical normal potential (symbol U) and their difference, the disturbing potential (T =...
    12 KB (1,752 words) - 09:32, 12 May 2025