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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 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 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.

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.

- on manifolds Directional statistics: statistics on manifolds List of manifolds Timeline of manifolds Mathematics of general relativity 3-manifold 4-manifold...

- 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...

- Lorentz. After Riemannian manifolds, Lorentzian manifolds form the most important subcl**** of pseudo-Riemannian manifolds. They are important in applications...

- Riemannian manifolds. The sectional curvature K(σp) depends on a two-dimensional plane σp in the tangent space at a point p of the manifold. It is the...

- found in: Cardiovascular system - blood vessel manifolds etc. Lymphatic system Respiratory system Manifolds are used in: Pipe organ Scott, John S. (1992)...

- of particular manifolds, by Wikipedia page. See also list of geometric topology topics. For categorical listings see Category:Manifolds and its subcategories...

- Topological manifolds form an important cl**** of topological spaces with applications throughout mathematics. All manifolds are topological manifolds by definition...

- to the manifold and not dependent upon its embedding in higher-dimensional spaces. Albert Einstein used the theory of pseudo-Riemannian manifolds (a generalization...

- chamber; high-performance manifolds have smooth contours and gradual transitions between adjacent segments. Modern intake manifolds usually employ runners...

- 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...

- Lorentz. After Riemannian manifolds, Lorentzian manifolds form the most important subcl**** of pseudo-Riemannian manifolds. They are important in applications...

- Riemannian manifolds. The sectional curvature K(σp) depends on a two-dimensional plane σp in the tangent space at a point p of the manifold. It is the...

- found in: Cardiovascular system - blood vessel manifolds etc. Lymphatic system Respiratory system Manifolds are used in: Pipe organ Scott, John S. (1992)...

- of particular manifolds, by Wikipedia page. See also list of geometric topology topics. For categorical listings see Category:Manifolds and its subcategories...

- Topological manifolds form an important cl**** of topological spaces with applications throughout mathematics. All manifolds are topological manifolds by definition...

- to the manifold and not dependent upon its embedding in higher-dimensional spaces. Albert Einstein used the theory of pseudo-Riemannian manifolds (a generalization...

- chamber; high-performance manifolds have smooth contours and gradual transitions between adjacent segments. Modern intake manifolds usually employ runners...

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