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...

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...

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...

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...

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

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

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

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

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...

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

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)...

Japanese theorem for concyclic quadrilaterals (Euclidean geometry) John ellipsoid (geometry) Jordan curve theorem (topology) Jordan–Hölder theorem (group...

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

Middle Ages. The figure of the Earth is more accurately described as an ellipsoid, which was realized in the early modern period. Earth is massive enough...

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

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. Therefore, more generally, a map projection is any method of flattening...

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

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...

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...

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

geometry of the ellipsoid". The Mercator Projections: The Normal and Transverse Mercator Projections on the Sphere and the Ellipsoid with Full Derivations...

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

line) tangent line and the normal vector to the surface of the reference ellipsoid (chosen to approximate the Earth's sea-level surface). VDs are caused...

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

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

h} data points, but the Minimum Volume Ellipsoid estimates multivariate location and scatter from the ellipsoid of minimal volume that encapsulates the...