Definition of Manifolds. Meaning of Manifolds. Synonyms of Manifolds

Here you will find one or more explanations in English for the word Manifolds. Also in the bottom left of the page several parts of wikipedia pages related to the word Manifolds and, of course, Manifolds synonyms and on the right images related to the word Manifolds.

Definition of Manifolds

Manifold
Manifold Man"i*fold, a. [AS. manigfeald. See Many, and Fold.] 1. Various in kind or quality; many in number; numerous; multiplied; complicated. O Lord, how manifold are thy works! --Ps. civ. 24. I know your manifold transgressions. --Amos v. 12. 2. Exhibited at divers times or in various ways; -- used to qualify nouns in the singular number. ``The manifold wisdom of God.' --Eph. iii. 10. ``The manifold grace of God.' --1 Pet. iv. 10. Manifold writing, a process or method by which several copies, as of a letter, are simultaneously made, sheets of coloring paper being infolded with thin sheets of plain paper upon which the marks made by a stylus or a type-writer are transferred.
Manifold
Manifold Man"i*fold, n. 1. A copy of a writing made by the manifold process. 2. (Mech.) A cylindrical pipe fitting, having a number of lateral outlets, for connecting one pipe with several others. 3. pl. The third stomach of a ruminant animal. [Local, U.S.]
Manifold
Manifold Man"i*fold, v. t. [imp. & p. p. Manifolded; p. pr. & vb. n. Manifolding.] To take copies of by the process of manifold writing; as, to manifold a letter.

Meaning of Manifolds from wikipedia

- (e.g. CT scans). Manifolds can be equipped with additional structure. One important class of manifolds are differentiable manifolds; their differentiable...
- Riemannian manifolds, Darboux's theorem states that all symplectic manifolds are locally isomorphic. The only invariants of a symplectic manifold are global...
- and vector fields. Differentiable manifolds are very important in physics. Special kinds of differentiable manifolds form the basis for physical theories...
- Shing-Tung Yau (1978) who proved the Calabi conjecture. Calabi–Yau manifolds are complex manifolds that are generalizations of K3 surfaces in any number of complex...
- found in: Cardiovascular system - blood vessel manifolds etc. Lymphatic system Respiratory system Manifolds are used in: Pipe organ Scott, John S. (1992)...
- different flavors: compact complex manifolds are much closer to algebraic varieties than to differentiable manifolds. For example, the Whitney embedding...
- is made in whether we are dealing with say, topological 3-manifolds, or smooth 3-manifolds. Phenomena in three dimensions can be strikingly different...
- mathematics. All manifolds are topological manifolds by definition. Other types of manifolds are formed by adding structure to a topological manifold (e.g. differentiable...
- pseudo-Riemannian manifolds, among which Riemannian manifolds and Lorentzian manifolds, with applications to General Relativity. In particular, SageManifolds implements...
- infinite-dimensional manifolds; that is, manifolds that are modeled after a topological vector space; for example, Fréchet, Banach and Hilbert manifolds. Riemannian...