In geometry, the elliptic coordinate system is a two-dimensional orthogonal coordinate system in which the coordinate lines are confocal ellipses and hyperbolae...
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Elliptic cylindrical coordinates are a three-dimensional orthogonal coordinate system that results from projecting the two-dimensional elliptic coordinate...
9 KB (1,398 words) - 01:28, 27 March 2021
Sometimes this is called an elliptic coordinate system on the sphere, by analogy to a planar elliptic coordinate system. Such coordinates can be used...
12 KB (1,056 words) - 07:08, 23 November 2023
Ellipsoidal coordinates (category Three-dimensional coordinate systems)
orthogonal coordinate system ( λ , μ , ν ) {\displaystyle (\lambda ,\mu ,\nu )} that generalizes the two-dimensional elliptic coordinate system. Unlike most...
7 KB (1,149 words) - 01:54, 3 June 2024
Bipolar coordinates (redirect from Bipolar coordinate system)
Bipolar coordinates are a two-dimensional orthogonal coordinate system based on the Apollonian circles. Confusingly, the same term is also sometimes used...
9 KB (1,440 words) - 18:22, 16 August 2023
Oblate spheroidal coordinates (redirect from Oblate spheroidal coordinate system)
three-dimensional orthogonal coordinate system that results from rotating the two-dimensional elliptic coordinate system about the non-focal axis of the...
20 KB (3,467 words) - 00:28, 17 May 2024
Elliptic-curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields. ECC...
39 KB (4,660 words) - 13:02, 21 May 2024
Prolate spheroidal coordinates (category Three-dimensional coordinate systems)
three-dimensional orthogonal coordinate system that results from rotating the two-dimensional elliptic coordinate system about the focal axis of the ellipse...
13 KB (1,930 words) - 23:09, 3 January 2024
The perifocal coordinate (PQW) system is a frame of reference for an orbit. The frame is centered at the focus of the orbit, i.e. the celestial body about...
6 KB (1,037 words) - 11:45, 2 June 2024
In astronomy, coordinate systems are used for specifying positions of celestial objects (satellites, planets, stars, galaxies, etc.) relative to a given...
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Homogeneous coordinates (redirect from Homogeneous coordinate system)
to be easily represented by a matrix. They are also used in fundamental elliptic curve cryptography algorithms. If homogeneous coordinates of a point are...
25 KB (3,343 words) - 06:21, 17 December 2023
Confocal conic sections Circumconic and inconic Director circle Elliptic coordinate system Equidistant set Parabolic coordinates Quadratic function Spherical...
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Transverse Mercator projection (redirect from Gauss–Krüger coordinate system)
is oriented with north up. In most applications the Gauss–Krüger coordinate system is applied to a narrow strip near the central meridians where the...
37 KB (4,481 words) - 23:46, 27 May 2024
{O}}\end{aligned}}} For elliptic curves of the form E: y2 = x3 + ax + b, negation is a point with the same x coordinate but negated y coordinate: ( x , y ) + (...
30 KB (4,086 words) - 15:38, 27 March 2024
Paraboloid (redirect from Elliptic paraboloid)
parabola directed by a second parabola. In a suitable Cartesian coordinate system, an elliptic paraboloid has the equation z = x 2 a 2 + y 2 b 2 . {\displaystyle...
15 KB (2,335 words) - 22:25, 1 April 2024
The orthogonal net of ellipses and hyperbolas is the base of an elliptic coordinate system. A parabola has only one focus, and can be considered as a limit...
22 KB (3,676 words) - 13:31, 11 January 2024
the current loop. Angular momentum Specific angular momentum Elliptic coordinate system Houde, Martin (November 10, 2005). "Chapter 6. Central Force Motion"...
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A highly elliptical orbit (HEO) is an elliptic orbit with high eccentricity, usually referring to one around Earth. Examples of inclined HEO orbits include...
3 KB (303 words) - 02:46, 13 June 2024
polar stereographic (UPS) coordinate system is used in conjunction with the universal transverse Mercator (UTM) coordinate system to locate positions on...
4 KB (499 words) - 18:09, 11 June 2024
mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point O. An elliptic curve is defined...
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Orthogonal coordinates (redirect from Orthogonal coordinate system)
three-dimensional Cartesian coordinates (x, y, z) is an orthogonal coordinate system, since its coordinate surfaces x = constant, y = constant, and z = constant are...
30 KB (3,360 words) - 01:37, 7 June 2024
Conical coordinates (category Three-dimensional coordinate systems)
orthogonal coordinate system consisting of concentric spheres (described by their radius r) and by two families of perpendicular elliptic cones, aligned...
5 KB (570 words) - 03:41, 28 July 2021
Analytic geometry (redirect from Coordinate geometry)
analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts with synthetic...
40 KB (5,612 words) - 21:38, 16 June 2024
Plane (mathematics) (section Elliptic plane)
coordinate system is called a Cartesian plane. The set R 2 {\displaystyle \mathbb {R} ^{2}} of the ordered pairs of real numbers (the real coordinate...
6 KB (1,516 words) - 15:13, 17 April 2024
Elliptic geometry is an example of a geometry in which Euclid's parallel postulate does not hold. Instead, as in spherical geometry, there are no parallel...
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Euclidean plane (redirect from Plane coordinate)
Later, the plane was described in a so-called Cartesian coordinate system, a coordinate system that specifies each point uniquely in a plane by a pair...
16 KB (1,963 words) - 04:54, 30 April 2024
In astrodynamics or celestial mechanics, an elliptic orbit or elliptical orbit is a Kepler orbit with an eccentricity of less than 1; this includes the...
19 KB (2,715 words) - 21:54, 29 May 2024
Dual EC DRBG (redirect from Dual Elliptic Curve Deterministic Random Bit Generator)
Dual_EC_DRBG (Dual Elliptic Curve Deterministic Random Bit Generator) is an algorithm that was presented as a cryptographically secure pseudorandom number...
67 KB (6,727 words) - 19:16, 29 April 2024
Standard gravitational parameter (section Solar system)
a binary star system, we define: the vector r is the position of one body relative to the other r, v, and in the case of an elliptic orbit, the semi-major...
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Hyperbolic partial differential equation (redirect from Hyperbolic system)
point of space feels the disturbance at once. Relative to a fixed time coordinate, disturbances have a finite propagation speed. They travel along the characteristics...
9 KB (1,251 words) - 06:26, 21 May 2024