MANIFOLD

manifold, multiplex

(adjective) many and varied; having many features or forms; “manifold reasons”; “our manifold failings”; “manifold intelligence”; “the multiplex opportunities in high technology”

manifold

(noun) a pipe that has several lateral outlets to or from other pipes

manifold

(noun) a set of points such as those of a closed surface or an analogue in three or more dimensions

multiply, manifold

(verb) combine or increase by multiplication; “He managed to multiply his profits”

manifold

(verb) make multiple copies of; “multiply a letter”

Source: WordNet® 3.1

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Etymology 1

Adjective

manifold (comparative more manifold, superlative most manifold)

Various in kind or quality; diverse.

Many in number, numerous; multiple, multiplied.

Complicated.

Exhibited at diverse times or in various ways.

Synonyms

• (various in kind or quality): diverse, various, varied, multiplicitous; See also heterogeneous

• (many in number): multiple, numerous; see also manifold

Antonyms

• onefold

• singlefold

Adverb

manifold (comparative more manifold, superlative most manifold)

Many times; repeatedly.

Synonyms

• frequently, ofttimes; see also often

Noun

manifold (plural manifolds)

(historical) A copy made by the manifold writing process.

(mechanics) A pipe fitting or similar device that connects multiple inputs or outputs.

(US, regional, mostly, in the plural) The third stomach of a ruminant animal, an omasum.

(mathematics) A topological space that looks locally like the "ordinary" Euclidean space $\backslash (\backslash mathbb\{R\}^n\backslash )$ and is Hausdorff.

(computer graphics) A polygon mesh representing the continuous, closed surface of a solid object

Usage notes

In mathematics, a manifold of some number of dimensions n is termed an n-manifold (e.g. 3-manifold).

Hyponyms

((mathematics) generic families of manifolds):

• Flag manifold

• Grassmann manifold

• Stiefel manifold

((mathematics) manifolds definable by a particular choice of atlas):

• analytic manifold

• complex manifold

• differentiable manifold

• piecewise linear manifold

• smooth manifold

• topological manifold

((mathematics) manifolds Manifolds with additional structure):

• almost complex manifold

• almost symplectic manifold

• Calabi–Yau manifold

• calibrated manifold

• complex manifold

• contact manifold

• CR manifold

• Finsler manifold

• Hermitian manifold

• Hyperkähler manifold

• Kähler manifold

• Lie group

• pseudo-Riemannian manifold

• Riemannian manifold

• Sasakian manifold

• semi-Riemannian manifold

• spin manifold

• symplectic manifold

((mathematics) infinite-dimensional manifolds):

• Banach manifold

• Fréchet manifold

• Hilbert manifold

((mathematics) other manifolds):

• C^k-manifold

• C^∞-manifold

• C^ω-manifold

• connected manifold

• E₈ manifold

• Einstein manifold

• Finsler manifold

• G₂ manifold

• Kervaire manifold

• Lorentzian manifold

• manifold with boundary

• n-dimensional manifold

• n-manifold

• non-Hausdorff manifold

• non-smoothable manifold

• pure manifold

• Quaternionic Kähler manifold

• real manifold

• Ricci-flat manifold

• Spin(7) manifold

• submanifold

• Weeks manifold

• Whitehead manifold

Etymology 2

Verb

manifold (third-person singular simple present manifolds, present participle manifolding, simple past and past participle manifolded)

(transitive) To make manifold; multiply.

(transitive, printing) To multiply or reproduce impressions of by a single operation.

Source: Wiktionary

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Man"i*fold, a. Etym: [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.

Man"i*fold, n.

1. A copy of a writing made by the manifold process.

2. (Mech.)

Definition: A cylindrical pipe fitting, having a number of lateral outlets, for connecting one pipe with several others.

3. pl.

Definition: The third stomach of a ruminant animal. [Local, U.S.]

Man"i*fold, v. t. [imp. & p. p. Manifolded; p. pr. & vb. n. Manifolding.]

Definition: To take copies of by the process of manifold writing; as, to manifold a letter.

Source: Webster’s Unabridged Dictionary 1913 Edition

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