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ManifoldManifold 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.]
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 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...
- 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...
-
ellipsoids and paraboloids, are all
examples of
Riemannian manifolds.
Riemannian manifolds are
named after German mathematician Bernhard Riemann, who...
-
Riemmannian manifold defines a
number of ****ociated
tensor fields, such as the
Riemann curvature tensor.
Lorentzian manifolds are pseudo-Riemannian
manifolds of...
- Lorentz.
After Riemannian manifolds,
Lorentzian manifolds form the most
important subclass of pseudo-Riemannian
manifolds. They are
important in applications...
-
applicable to
general topological manifolds often employ methods of
homology theory,
whereas for
differentiable manifolds more
structure is present, allowing...
- a very
useful way to
study manifolds:
without tools like decomposition, it is
sometimes very hard to
understand a
manifold. In particular, it has been...
- is made in
whether we are
dealing with say,
topological 3-
manifolds, or
smooth 3-
manifolds.
Phenomena in
three dimensions can be
strikingly different...
- of a
center manifold was
originally developed to
determine stability of
degenerate equilibria. Subsequently, the
concept of
center manifolds was realised...