In mathematics, the John ellipsoid or Löwner–John ellipsoid E(K) associated to a convex body K in n-dimensional Euclidean space ⁠ R n {\displaystyle \mathbb...

An ellipsoid is a surface that can be obtained from a sphere by deforming it by means of directional scalings, or more generally, of an affine transformation...

An Earth ellipsoid or Earth spheroid is a mathematical figure approximating the Earth's form, used as a reference frame for computations in geodesy, astronomy...

the motion of its inertia ellipsoid, which is rigidly fixed to the rigid body like a coordinate frame. Its inertia ellipsoid rolls, without slipping, on...

In geodesy, the Hayford ellipsoid is a reference ellipsoid named after the American geodesist John Fillmore Hayford (1868–1925), which was introduced in...

oscillation Fritz John conditions John ellipsoid John transform According to its biography by O'Connor, John J.; Robertson, Edmund F., "Fritz John", MacTutor...

the ellipsoid method is an iterative method for minimizing convex functions over convex sets. The ellipsoid method generates a sequence of ellipsoids whose...

A spheroid, also known as an ellipsoid of revolution or rotational ellipsoid, is a quadric surface obtained by rotating an ellipse about one of its principal...

the angle formed between the vector perpendicular (or normal) to the ellipsoidal surface from the point, and the plane of the equator. Two levels of abstraction...

Erdmessung (Central Bureau of International Geodesy), and a series of global ellipsoids of the Earth were derived (e.g., Helmert 1906, Hayford 1910 and 1924)...

crystallography, thermal ellipsoids, more formally termed atomic displacement parameters or anisotropic displacement parameters, are ellipsoids used to indicate...

theory Helly's theorem Holomorphically convex hull Integrally-convex set John ellipsoid Pseudoconvexity Radon's theorem Shapley–Folkman lemma Symmetric set...

surface. Approximating the figure of Earth by an Earth spheroid (an oblate ellipsoid), the radius ranges from a maximum (equatorial radius, denoted a) of about...

The n-vector representation (also called geodetic normal or ellipsoid normal vector) is a three-parameter non-singular representation well-suited for...

celestial body is called a reference ellipsoid. The reference ellipsoid for Earth is called an Earth ellipsoid. An ellipsoid of revolution is uniquely defined...

theory) Helly's theorem (convex sets) Holditch's theorem (plane geometry) John ellipsoid (geometry) Jung's theorem (geometry) Kepler conjecture (discrete geometry)...

Clairaut's theorem characterizes the surface gravity on a viscous rotating ellipsoid in hydrostatic equilibrium under the action of its gravitational field...

body is a type of duality relation. List of convexity topics John ellipsoid – Ellipsoid most closely containing, or contained in, an n-dimensional convex...

of the convex function John ellipsoid - E(K) associated to a convex body K in n-dimensional Euclidean space Rn is the ellipsoid of maximal n-dimensional...

mapped even if they are too irregular to be modeled well with a sphere or ellipsoid. The most well-known map projection is the Mercator projection.: 45  This...

compression of a circle or sphere along a diameter to form an ellipse or an ellipsoid of revolution (spheroid) respectively. Other terms used are ellipticity...

an ellipsoid dates to the 17th century, as described by Isaac Newton in Principia. In the early 19th century, the flattening of the earth ellipsoid was...

JSTOR 2044407, MR 0663877 Basch, Julien; Guibas, Leonidas J.; Hershberger, John (1999), "Data structures for mobile data", Journal of Algorithms, 31 (1):...

planetary datums. Since the rise of the global positioning system (GPS), the ellipsoid and datum WGS 84 it uses has supplanted most others in many applications...

al., it is easier to plot the ellipsoid after doing singular value decomposition. The lengths of the axes of the ellipsoid are proportional to the reciprocals...

beobachteter Eigenbewegungen" [On the determination, according to the ellipsoid hypothesis, of the vertex and apex from a small number of observed proper...

triaxial ellipsoid maps Earth or some other astronomical body modeled as a triaxial ellipsoid to the plane. Such a model is called the reference ellipsoid. In...

examples and comments on relations with analysis and geometry." Löwner-John ellipsoid Schramm–Loewner evolution Loop-erased random walk Systoles of surfaces...

expressed as a geoid undulation or geoidal height above a given reference ellipsoid, which is a slightly flattened sphere whose equatorial bulge is caused...

The algorithm uses the shallow-cut ellipsoid method. Note that, by the Lowner-John theorem, there exists an ellipsoid satisfying a stronger relation E (...