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1. Coordinates: Latitude (abbreviation: Lat., φ, or phi) is the angle from a point on the Earth's surface and the equatorial plane, measured from the center of the sphere. Lines joining points of the same latitude are called parallels, which trace concentric ... [100%] 2023-11-10
2. Coordinates: Numbers, quantities, used to specify (or determine) the position of some kind of element (point) in a collection (a set $M$), e.g. on a plane or a surface, in a space, on a manifold. (Mathematics) [100%] 2023-10-27
3. Transformation of Coordinates: Graph in 2 dimensions illustrating Translation of Coordinate Axes. [78%] 2023-12-19
4. Polar coordinates: In mathematics and physics, polar coordinates are two numbers—a distance and an angle—that specify the position of a point on a plane. In their classical ("pre-vector") definition, polar coordinates give the position of a point P with ... [70%] 2023-10-17
5. Born coordinates: In relativistic physics, the Born coordinate chart is a coordinate chart for (part of) Minkowski spacetime, the flat spacetime of special relativity. It is often used to analyze the physical experience of observers who ride on a ring or disk ... (Physics) [70%] 2023-11-17 [Coordinate charts in general relativity]
6. Rindler coordinates: Rindler coordinates are a coordinate system used in the context of special relativity to describe the hyperbolic acceleration of a uniformly accelerating reference frame in flat spacetime. In relativistic physics the coordinates of a hyperbolically accelerated reference frame constitute an ... [70%] 2023-11-09 [Theory of relativity] [Coordinate charts in general relativity]...
7. Cartesian coordinates: A method of defining the location of points on a plane by their distances from two fixed perpendicular straight lines (axes). This concept can already be found in the works of Archimedes and Apollonius more than two thousand years ago ... (Mathematics) [70%] 2023-10-17
8. Galactic Coordinates: Galactic Coordinates are sky location coordinates given with respect to the center of the Milky Way Galaxy (our galaxy). The Milky Way galaxy is a spiral galaxy - very flat with a bulging core. [70%] 2023-02-05 [Astronomy]
9. Spherical coordinates: Spherical coordinates are a way to describe the location of a point in three-dimensional space based on , the distance from the origin (where ); , the angle between the point and the x-z plane (in the positive x direction); and ... [70%] 2023-03-23 [Mathematics] [Geometry]...
10. Homogeneous coordinates: Coordinates having the property that the object determined by them does not change if all the coordinates are multiplied by the same non-zero number. Such, for example, are projective coordinates; Plücker coordinates and pentaspherical coordinates. (Mathematics) [70%] 2023-10-17
11. Cylindrical coordinates: The cylindrical coordinates are related to Cartesian coordinates (x,y,z) by: The matrix A ( Coordinate Systems) relating the two sets of unit vectors is: The volume element is , and the distance element is . The Laplace differential equation becomes in ... [70%] 2022-11-21 [W.Krisher and R.Bock] [Data analysis]...
12. Weierstrass coordinates: A type of coordinates in an elliptic space. Let $M^n$ be an elliptic space obtained by the identification of diametrically-opposite points of the unit sphere $S^n$ in $(n+1)$-dimensional Euclidean space. (Mathematics) [70%] 2023-10-13
13. Pentaspherical coordinates: A kind of homogeneous coordinates $x_0:x_1:x_2:x_3:x_4$ for a point $(x)$ in complex inversive space. The numbers $x_\nu$, not all zero, are connected by the relation $$(x,x)\equiv x_0^2+x_1^2+x_2^2+x_3 ... (Mathematics) [70%] 2023-10-17
14. Lode coordinates: Lode coordinates \displaystyle{ (z,r,\theta) }[/math] or Haigh–Westergaard coordinates \displaystyle{ (\xi,\rho,\theta) }[/math]. are a set of tensor invariants that span the space of real, symmetric, second-order, 3-dimensional tensors and are isomorphic with respect to ... (Physics) [70%] 2023-11-09 [Solid mechanics] [Materials science]...
15. Barycentric coordinates: Coordinates of a point in an -dimensional vector space , with respect to some fixed system of points that do not lie in an -dimensional subspace. Every point can uniquely be written as where are real numbers satisfying the condition. (Mathematics) [70%] 2023-11-10
16. Isothermal coordinates: Coordinates of a two-dimensional Riemannian space in which the square of the line element has the form: $$ ds ^ {2} = \lambda ( \xi , \eta ) ( d \xi ^ {2} + d \eta ^ {2} ). $$ Isothermal coordinates specify a conformal mapping of the two-dimensional Riemannian ... (Mathematics) [70%] 2023-10-18
17. Curvilinear coordinates: In geometry, 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 coordinates by using a transformation that is locally invertible (a one ... (Coordinate system whose directions vary in space) [70%] 2023-09-10 [Coordinate systems] [Metric tensors]...
18. Parabolic coordinates: Parabolic coordinates are a two-dimensional orthogonal coordinate system in which the coordinate lines are confocal parabolas. A three-dimensional version of parabolic coordinates is obtained by rotating the two-dimensional system about the symmetry axis of the parabolas. [70%] 2023-11-08 [Orthogonal coordinate systems]
19. Paraboloidal coordinates: Paraboloidal coordinates are three-dimensional orthogonal coordinates \displaystyle{ (\mu, \nu, \lambda) }[/math] that generalize two-dimensional parabolic coordinates. They possess elliptic paraboloids as one-coordinate surfaces. [70%] 2022-06-23 [Three-dimensional coordinate systems] [Orthogonal coordinate systems]...
20. Homogeneous coordinates: In mathematics, homogeneous coordinates or projective coordinates, introduced by August Ferdinand Möbius in his 1827 work Der barycentrische Calcul, are a system of coordinates used in projective geometry, just as Cartesian coordinates are used in Euclidean geometry. They have the ... (Coordinate system used in projective geometry) [70%] 2022-06-25 [Linear algebra] [Projective geometry]...