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Sphere: The set $S^n$ of points $x$ of a Euclidean space $E^{n+1}$ that are situated at a constant distance $R$ (the radius of the sphere) from a point $x_0$ (the centre of the sphere), i.e. \[S^n ... (Mathematics) [100%] 2023-02-09 [Geometry]
Sphere (organization): Sphere (formerly known as the Sphere Project) is a global movement started in 1997 aiming to improve the quality of humanitarian assistance. The Sphere standards are the most commonly used and most widely known set of core humanitarian standards. (Organization) [100%] 2023-12-19 [Disaster management] [Organizations established in 1997]...
Sphere: A sphere is a symmetrical geometrical object. In non-mathematical usage, the term is used to refer either to a round ball or to its two-dimensional surface. In mathematics, a sphere is the set of all points in three ... [100%] 2023-02-04
Sphere (geometry): A sphere is a three-dimensional surface, consisting of all points that are a given distance away from a single point, known as the center of the sphere. The distance from the center to the surface is the radius of ... (Geometry) [100%] 2023-06-14
Sphere: A sphere (from grc σφαῖρα (Script error: No such module "Ancient Greek".) 'globe, ball') is a geometrical object that is a three-dimensional analogue to a two-dimensional circle. A sphere is the set of points that are all at the ... (Geometrical object that is the surface of a ball) [100%] 2022-06-29 [Differential geometry] [Differential topology]...
Sphere: Sphere, in geometry, the solid or surface traced out by the revolution of a semicircle about its diameter; this is essentially Euclid's definition; 1 in the modern geometry of surfaces it is defined as the quadric surface passing through ... [100%] 2022-09-02
Sphere: A sphere is the set of all points in three-dimensional euclidean space (R) which are at a fixed distance r (called radius) away from a point called the center. A generalization of it is the set of points which ... [100%] 2023-02-27 [Geometry]
Sphere: A sphere (from Greek σφαῖρα, sphaîra) is a geometrical object that is a three-dimensional analogue to a two-dimensional circle. Formally, a sphere is the set of points that are all at the same distance r from a given point ... (Set of points equidistant from a center) [100%] 2024-06-02 [Differential geometry] [Differential topology]...
SPHERES: The Synchronized Position Hold Engage and Reorient Experimental Satellite (SPHERES) are a series of miniaturized satellites developed by MIT's Space Systems Laboratory for NASA and US Military, to be used as a low-risk, extensible test bed for the ... [83%] 2023-11-04 [International Space Station experiments] [Massachusetts Institute of Technology]...
Armillary sphere: An armillary sphere (variations are known as spherical astrolabe, armilla, or armil) is a model of objects in the sky (on the celestial sphere), consisting of a spherical framework of rings, centered on Earth or the Sun, that represent lines ... (Astronomy) [70%] 2023-10-08 [Ancient Greek astronomy] [Ancient inventions]...
Exotic sphere: In an area of mathematics called differential topology, an exotic sphere is a differentiable manifold M that is homeomorphic but not diffeomorphic to the standard Euclidean n-sphere. That is, M is a sphere from the point of view of ... (Smooth manifold that is homeomorphic but not diffeomorphic to a sphere) [70%] 2023-03-27 [Differential topology] [Surgery theory]...
Knotted sphere: A non-trivial two-dimensional knot in the $4$-dimensional Euclidean space $E^4$; a sphere $S^2$ which cannot be obtained by rotation in $E^4$ of a knotted arc $k$ situated in the half-space $E_+^3$ around ... (Mathematics) [70%] 2023-09-15
Bloch sphere: In quantum mechanics and computing, the Bloch sphere is a geometrical representation of the pure state space of a two-level quantum mechanical system (qubit), named after the physicist Felix Bloch. Quantum mechanics is mathematically formulated in Hilbert space or ... (Physics) [70%] 2023-08-25 [Quantum mechanics] [Projective geometry]...
Sphere theorem (3-manifolds): In mathematics, in the topology of 3-manifolds, the sphere theorem of Christos Papakyriakopoulos (1957) gives conditions for elements of the second homotopy group of a 3-manifold to be represented by embedded spheres. One example is the following: Let ... (3-manifolds) [70%] 2022-07-26 [Geometric topology] [3-manifolds]...
Osculating sphere: at a point $M$ of a curve $l$ The sphere having contact of order $n\geq3$ with $l$ at $M$ (see Osculation). The osculating sphere can also be defined as the limit of a variable sphere passing through four points ... (Mathematics) [70%] 2023-10-19
Dyson sphere: A Dyson sphere is a hypothetical megastructure that completely encompasses a star and captures a large percentage of its solar power output. The concept is a thought experiment that attempts to explain how a spacefaring civilization would meet its energy ... (Astronomy) [70%] 2022-12-11 [Astronomy projects] [Exploratory engineering]...
Riemann sphere: In mathematics, the Riemann sphere, named after Bernhard Riemann, is a model of the extended complex plane: the complex plane plus one point at infinity. This extended plane represents the extended complex numbers, that is, the complex numbers plus a ... (Model of the extended complex plane plus a point at infinity) [70%] 2024-01-20 [Riemann surfaces] [Projective geometry]...
Coordination sphere: In coordination chemistry, the first coordination sphere refers to the array of molecules and ions (the ligands) directly attached to the central metal atom. The second coordination sphere consists of molecules and ions that attached in various ways to the ... (Chemistry) [70%] 2023-09-20 [Coordination chemistry]
Modulation sphere: The Modulation sphere or M-space formulation is a scheme or theory representing the system of effects of phase modulation and amplitude modulation as applied together on a carrier wave. The relations between both modulations on the carrier are also ... (Physics) [70%] 2023-08-28 [Radio modulation modes]