manifold

See also: Manifold

English

Alternative forms

Pronunciation

  • (General American) IPA(key): /ˈmænɪˌfoʊld/, (nonstandard) /ˈmɛnɪˌfoʊld/, /ˈmɛniˌfoʊld/
  • (Received Pronunciation) IPA(key): /ˈmænɪˌfəʊld/
  • (file)
  • Hyphenation: man‧i‧fold
  • Rhymes: -ænɪfoʊld
  • Rhymes: -əʊld

Etymology 1

From Middle English manifold, from Old English maniġfeald (manifold, various, varied, complicated, numerous, abundant, plural), from Proto-Germanic *managafalþaz, equivalent to many + -fold. Cognate with Middle High German manecvalt (manifold), Icelandic margfaldr (multiple). Compare also German mannigfaltig (various), Dutch menigvoudig (various), Danish mangefold (multiple), Swedish mångfald (diversity).

Adjective

manifold (comparative more manifold, superlative most manifold)

  1. Various in kind or quality; diverse.
    The manifold meanings of the simple English word set are infamous among dictionary makers.
  2. Many in number, numerous; multiple, multiplied.
  3. Complicated.
  4. Exhibited at diverse times or in various ways.
Synonyms
Antonyms
Derived terms
Translations

Adverb

manifold (comparative more manifold, superlative most manifold)

  1. Many times; repeatedly.
    • 1590, Edmund Spenser, The Faerie Queene, book 1, canto 12:
      when his daughter deare he does behold, / Her dearely doth imbrace, and kisseth manifold.
Synonyms

Noun

manifold (plural manifolds)

  1. (historical) A copy made by the manifold writing process.
  2. (mechanics) A pipe fitting or similar device that connects multiple inputs or outputs.
  3. (US, dialectal, chiefly in the plural) The third stomach of a ruminant animal, an omasum.
    • 1830, Anson, Somerset Co. Me., retrieved 12 June 2007:
      My conjecture being right he will find the third stomach, or manifolds, the seat of difficulty.
  4. (mathematics) A topological space that looks locally like the "ordinary" Euclidean space and is Hausdorff.
  5. (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
(mathematics) manifolds Manifolds with additional structure
(mathematics) infinite-dimensional manifolds
  • Banach manifold
  • Fréchet manifold
  • Hilbert manifold
(mathematics) other manifolds
  • Ck-manifold
  • connected manifold
  • Cω-manifold
  • C-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
Derived terms
Translations

Etymology 2

From Middle English manifolden, from Old English maniġfealdan (to multiply, abound, increase, extend, reward), equivalent to many + -fold. Cognate with Middle High German manecvalten, Icelandic margfalda (to multiply), Swedish mångfaldiga (to manifold, reproduce).

Verb

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

  1. (transitive) To make manifold; multiply.
  2. (transitive, printing) To multiply or reproduce impressions of by a single operation.
Translations

French

Noun

manifold m (plural manifolds)

  1. (historical) manifold

Further reading

This article is issued from Wiktionary. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.