Definition of Manifolds. Meaning of Manifolds. Synonyms of Manifolds
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Definition of Manifolds
ManifoldManifold Man"i*fold, a. [AS. manigfeald. See Many, and
1. Various in kind or quality; many in number; numerous;
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 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
3. pl. The third stomach of a ruminant animal. [Local, U.S.]
ManifoldManifold 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
structure. One important class
are differentiable manifolds
- Riemannian manifolds
, Darboux's theorem states
that all symplectic manifolds
isomorphic. The only invariants
of a symplectic manifold
- and vector
fields. Differentiable manifolds
are very important
in physics. Special kinds
of differentiable manifolds
form the basis
- Shing-Tung Yau (1978) who proved
conjecture. Calabi–Yau manifolds
are complex manifolds
that are generalizations
of K3 surfaces
in any number
in: Cardiovascular system
- blood vessel manifolds
etc. Lymphatic system Respiratory system Manifolds
are used in: Pipe organ
Scott, John S. (1992)...
flavors: compact complex manifolds
are much closer
to algebraic varieties
than to differentiable manifolds
. For example, the Whitney
- is made in whether
we are dealing
with say, topological
, or smooth
in three dimensions
can be strikingly
- mathematics. All manifolds
are topological manifolds
by definition. Other types
by adding structure
to a topological manifold
- pseudo-Riemannian manifolds
, among which Riemannian manifolds
and Lorentzian manifolds
, with applications
Relativity. In particular, SageManifolds
- infinite-dimensional manifolds
; that is, manifolds
that are modeled after
a topological vector
space; for example, Fréchet, Banach
and Hilbert manifolds
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