manifold is a topological space that locally resembles Euclidean space near each point. More precisely, an n {\displaystyle n} -dimensional manifold,... 67 KB (9,476 words) - 21:20, 15 February 2024 |
In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a vector space to allow... 67 KB (9,509 words) - 13:12, 2 October 2023 |
differential geometry, a pseudo-Riemannian manifold, also called a semi-Riemannian manifold, is a differentiable manifold with a metric tensor that is everywhere... 9 KB (1,164 words) - 22:36, 6 May 2024 |
a Riemannian manifold or Riemannian space (M, g), so called after the German mathematician Bernhard Riemann, is a real, smooth manifold M equipped with... 31 KB (5,457 words) - 01:07, 19 April 2024 |
In mathematics and especially differential geometry, a Kähler manifold is a manifold with three mutually compatible structures: a complex structure, a... 33 KB (4,476 words) - 01:29, 8 May 2024 |
geometry. Manifold may also refer to: Manifold (comics), a fictional character in Marvel Comics publications Manifold Records, a record label Manifold Trilogy... 3 KB (381 words) - 15:35, 10 March 2024 |
mathematics. All manifolds are topological manifolds by definition. Other types of manifolds are formed by adding structure to a topological manifold (e.g. differentiable... 17 KB (2,041 words) - 20:54, 26 April 2024 |
differential geometry, a subject of mathematics, a symplectic manifold is a smooth manifold, M {\displaystyle M} , equipped with a closed nondegenerate... 23 KB (3,641 words) - 10:43, 12 February 2024 |
Manifold, formerly known as Manifold Markets, is an online prediction market platform. Users engage in competitive forecasting using play money called... 6 KB (453 words) - 17:12, 23 April 2024 |
MAP sensor (redirect from Manifold Absolute Pressure) The manifold absolute pressure sensor (MAP sensor) is one of the sensors used in an internal combustion engine's electronic control system. Engines that... 7 KB (971 words) - 20:53, 17 December 2023 |
Orientability (redirect from Orientable manifold) as real vector spaces, Euclidean spaces, surfaces, and more generally manifolds that allows a consistent definition of "clockwise" and "anticlockwise"... 25 KB (3,514 words) - 14:18, 3 January 2024 |
The manifold hypothesis posits that many high-dimensional data sets that occur in the real world actually lie along low-dimensional latent manifolds inside... 8 KB (938 words) - 03:04, 6 May 2024 |
In differential geometry and complex geometry, a complex manifold is a manifold with an atlas of charts to the open unit disc in C n {\displaystyle \mathbb... 10 KB (1,301 words) - 18:06, 7 February 2024 |
of a center manifold was originally developed to determine stability of degenerate equilibria. Subsequently, the concept of center manifolds was realised... 18 KB (2,574 words) - 15:53, 14 February 2024 |
In topology, a branch of mathematics, a manifold M may be decomposed or split by writing M as a combination of smaller pieces. When doing so, one must... 4 KB (192 words) - 11:21, 4 November 2021 |
A manifold is a wider and/or larger pipe or channel, into which smaller pipes or channels lead, or a pipe fitting or similar device that connects multiple... 2 KB (173 words) - 20:16, 24 October 2023 |
Differential geometry (redirect from Analysis of manifolds) geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of differential calculus, integral calculus, linear... 46 KB (5,896 words) - 21:09, 11 February 2024 |
A hydraulic manifold is a component that regulates fluid flow between pumps and actuators and other components in a hydraulic system. It is like a switchboard... 2 KB (225 words) - 03:41, 21 September 2023 |
In mathematics, a 4-manifold is a 4-dimensional topological manifold. A smooth 4-manifold is a 4-manifold with a smooth structure. In dimension four,... 15 KB (1,940 words) - 01:03, 26 October 2023 |
geometry and mathematical physics, an Einstein manifold is a Riemannian or pseudo-Riemannian differentiable manifold whose Ricci tensor is proportional to the... 6 KB (830 words) - 15:05, 21 March 2024 |
In mathematics, a Haken manifold is a compact, P²-irreducible 3-manifold that is sufficiently large, meaning that it contains a properly embedded two-sided... 8 KB (977 words) - 13:58, 21 October 2023 |
geometry, a Hermitian manifold is the complex analogue of a Riemannian manifold. More precisely, a Hermitian manifold is a complex manifold with a smoothly... 10 KB (1,479 words) - 13:14, 28 May 2022 |
Nonlinear dimensionality reduction (redirect from Manifold learning) known as manifold learning, is any of various related techniques that aim to project high-dimensional data onto lower-dimensional latent manifolds, with... 49 KB (6,124 words) - 01:22, 19 April 2024 |
In mathematics, an algebraic manifold is an algebraic variety which is also a manifold. As such, algebraic manifolds are a generalisation of the concept... 2 KB (199 words) - 01:42, 19 February 2023 |
Fuel injection (section Manifold injection) uses external mixture formation is called a manifold injection system. There exist two types of manifold injection systems: multi-point injection (or... 33 KB (3,808 words) - 17:33, 27 March 2024 |
In mathematics, the Prüfer manifold or Prüfer surface is a 2-dimensional Hausdorff real analytic manifold that is not paracompact. It was introduced by... 2 KB (193 words) - 12:03, 27 April 2022 |