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


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 \(\mathbb{R}^n\) 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

• HyperkĂ€hler manifold

• KĂ€hler manifold

• Lie group

• pseudo-Riemannian manifold

• Riemannian manifold

• Sasakian manifold

• semi-Riemannian manifold

• spin manifold

• symplectic manifold

((mathematics) infinite-dimensional manifolds):

• Banach manifold

• FrĂ©chet manifold

• Hilbert manifold

((mathematics) other manifolds):

• Ck-manifold

• C∞-manifold

• Cω-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 KĂ€hler 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


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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Word of the Day

4 July 2024

CHLORTHALIDONE

(noun) a diuretic (trade names Hygroton and Thalidone) used to control hypertension and conditions that cause edema; effective in lowering blood pressure to prevent heart attacks


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Coffee Trivia

Some 16th-century Italian clergymen tried to ban coffee because they believed it to be “satanic.” However, Pope Clement VII loved coffee so much that he lifted the ban and had coffee baptized in 1600.

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