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Manifold: MANIFOLD man'-i-fold (rabh; poikilos): "Manifold," which occurs only a few times, is in the Old Testament the translation of rabh, "many," "abundant" (Nehemiah 9:19,27; Amos 5:12, where it is equivalent to "many"), and of rabhabh ... [100%] 1915-01-01
Manifold: An n-dimensional manifold (or n-manifold) M is a topological space such that every point in M has a neighbourhood that is homeomorphic to . These homeomorphisms induce a coordinatization of M, and it is further required that the coordinatization ... [100%] 2023-03-06 [Topology] [Mathematics]...
Manifold (geometry): A manifold is an abstract mathematical space that looks locally like Euclidean space, but globally may have a very different structure. An example of this is a sphere: if one is very close to the surface of the sphere, it ... (Geometry) [100%] 2023-07-04
Manifold (fluid mechanics): A manifold is a wide and/or bigger pipe, or channel, into which smaller pipes or channels lead. A pipe fitting or similar device that connects multiple inputs or outputs. (Physics) [100%] 2023-11-27 [Fluid mechanics]
Manifold: A geometric object which locally has the structure (topological, smooth, homological, etc.) of $ \mathbf R ^ {n} $ or some other vector space. This fundamental idea in mathematics refines and generalizes, to an arbitrary dimension, the notions of a line and a ... (Mathematics) [100%] 2023-11-26
Manifold (prediction market): Manifold, formerly known as Manifold Markets, is a reputation-based prediction market. Users compete with other users, betting on various topics, from natural disasters like hurricanes to political events. (Finance) [100%] 2024-02-27 [Prediction markets]
Manifold (prediction market): Manifold, formerly known as Manifold Markets, is an online prediction market platform. Users engage in competitive forecasting using play money called 'mana'. (Prediction market) [100%] 2024-02-14
Manigoldo (Saint Seiya): Manigoldo (蟹座のマニゴルド, Kyansā no Manigorudo) est un personnage de fiction de l’univers Saint Seiya. Chevalier d’Or du Cancer, Manigoldo apparaît dans le manga et l'animé Saint Seiya: The Lost Canvas. (Saint Seiya) [88%] 2023-09-22
Tame manifold: In geometry, a tame manifold is a manifold with a well-behaved compactification. More precisely, a manifold \displaystyle{ M }[/math] is called tame if it is homeomorphic to a compact manifold with a closed subset of the boundary removed. [70%] 2023-11-27 [Differential geometry] [Hyperbolic geometry]...
Rigged manifold: framed manifold A smooth manifold with a fixed trivialization of the normal bundle. More accurately, let a smooth $ n $- dimensional manifold $ M $ be imbedded in $ \mathbf R ^ {n+} k $ and let the ( $ k $- dimensional) normal fibration $ \nu $ corresponding to this ... (Mathematics) [70%] 2023-11-27
Banach manifold: In mathematics, a Banach manifold is a manifold modeled on Banach spaces. Thus it is a topological space in which each point has a neighbourhood homeomorphic to an open set in a Banach space (a more involved and formal definition ... (Manifold modeled on Banach spaces) [70%] 2023-06-14 [Banach spaces] [Differential geometry]...
Lebrun manifold: In mathematics, a Lebrun manifold is a connected sum of copies of the complex projective plane, equipped with an explicit self-dual metric. Here, self-dual means that the Weyl tensor is its own Hodge star. [70%] 2022-09-26 [Differential geometry]
Haken manifold: sufficiently-large $3$-manifold, sufficiently-large three-dimensional manifold A compact, $\mathbf P^2$-irreducible three-dimensional manifold which contains a properly embedded, incompressible, two-sided surface. All objects and mappings are in the piecewise-linear category (cf. (Mathematics) [70%] 2023-10-21
Graded manifold: In algebraic geometry, graded manifolds are extensions of the concept of manifolds based on ideas coming from supersymmetry and supercommutative algebra. Both graded manifolds and supermanifolds are phrased in terms of sheaves of graded commutative algebras. (Manifold with supersymmetry structure) [70%] 2023-06-07 [Supersymmetry] [Generalized manifolds]...
3-manifold: In mathematics, a 3-manifold is a space that locally looks like Euclidean 3-dimensional space. A 3-manifold can be thought of as a possible shape of the universe. (Mathematical space) [70%] 2023-01-23 [Geometric topology] [3-manifolds]...
Stein manifold: holomorphically-complete manifold A paracompact complex analytic manifold $ M $ with the following properties: 1) for any compact set $ K \subset M $ the set $$ \left \{ { x \in X } : {| f( x) | \leq \sup _ {z \in K } | f( z) | ( f \in {\mathcal ... (Mathematics) [70%] 2023-08-04
Formal manifold: In geometry and topology, a formal manifold can mean one of a number of related concepts. [70%] 2023-02-27 [Manifolds]
Parallelizable manifold: A manifold $ M $ of dimension $ n $ admitting a (global) field of frames $ e = ( e _ {1}, \dots, e _ {n} ) $ (cf. also Frame), that is, $ n $ vector fields $ e _ {1}, \dots, e _ {n} $ that are linearly independent at ... (Mathematics) [70%] 2023-06-01
Hyperbolic manifold: In mathematics, a hyperbolic manifold is a space where every point looks locally like hyperbolic space of some dimension. They are especially studied in dimensions 2 and 3, where they are called hyperbolic surfaces and hyperbolic 3-manifolds, respectively. (Space where every point locally resembles a hyperbolic space) [70%] 2022-08-19 [Hyperbolic geometry] [Manifolds]...