manifold

See also: -manifold

Contents

EnglishEdit

Alternative formsEdit

• manyfold

PronunciationEdit

• (General American) IPA^(key): /ˈmænɪˌfold/
• (Received Pronunciation) IPA^(key): /ˈmænɪˌfəʊld/

• Audio (US)

  (file)

• Hyphenation: man‧i‧fold
• Rhymes: -ænɪfoʊld
• Homophone: manyfold

Etymology 1Edit

From Middle English manifold, from Old English maniġfeald (“manifold, various, varied, complicated, numerous, abundant, plural”), from Proto-Germanic *managaz (“many”) + *-falþaz (“-fold”), 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”).

NounEdit

manifold (plural manifolds)

1. (now 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, regional, in the plural) The third stomach of a ruminant animal, an omasum.
   • 1830 Anson, Somerset Co. Me., accessed 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 $\mathbb {R} ^{n}$ and is Hausdorff.
5. (computer graphics) A polygon mesh representing the continuous, closed surface of a solid object

Derived termsEdit

• manifolder
• manifoldly
• manifoldness

TranslationsEdit

copy made by the manifold writing process

• Russian: ко́пия (ru) f (kópija) (сде́ланная копирова́льным аппара́том)

• Turkish: teksir (tr)

pipe fitting

• German: Verteiler (de) m, Sammler (de) m
• Greek: πολυσωλήνας m (polysolínas)
• Italian: collettore (it) m
• Polish: kolektor (pl) m

• Portuguese: coletor (pt) m
• Russian: колле́ктор (ru) m (kolléktor), трубопрово́д (ru) m (truboprovód) (piping)
• Spanish: colector (es) m
• Turkish: dağıtıcı (tr)

omasum — see omasum

locally Euclidean space

• Chinese:

  Mandarin: 流形 (zh) (liúxíng)

• Czech: varieta f
• Danish: mangfoldighed c
• Dutch: variëteit (nl) f
• Finnish: monisto
• French: variété (fr) f
• German: Mannigfaltigkeit (de) f
• Greek: πολυχώρος m (polychóros)
• Hebrew: יריעה טופולוגית‏‎ f

• Hungarian: sokaság (hu)
• Italian: varietà (it)
• Japanese: 多様体 (tayōtai)
• Macedonian: многуобразие n (mnoguobrázie)
• Polish: rozmaitość (pl) f
• Portuguese: variedade (pt) f
• Russian: многообра́зие (ru) n (mnogoobrázije)
• Spanish: variedad (es) f
• Swedish: mångfald (sv) c
• Turkish: çokkatlı (tr)

AdjectiveEdit

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.

   c1384 ... the manyfold grace of God. — I Petre 4:10 (Wycliffe's Bible)

   1611 The manifold wisdom of God. — Ephesians 3:10. (w:King James Bible)

Derived termsEdit

• exhaust manifold
• inlet manifold
• intake manifold
• manifold writing

TranslationsEdit

various in kind or quality

• Dutch: veelvuldig (nl), talrijk (nl), veelvoudig (nl), divers (nl)
• Finnish: moninainen (fi)
• German: vielfältig (de), mannigfaltig (de)
• Greek: ποικιλόπτυχος (el) m (poikilóptychos), πολλαπλός (el) m (pollaplós), πολυειδής (el) m (polyeidís), πολύπτυχος (el) m (polýptychos)
• Hungarian: sokféle (hu), sokfajta

• Italian: molteplice (it), multiforme (it)
• Portuguese: múltiplos m pl, variados (pt) m pl
• Russian: разнообра́зный (ru) (raznoobráznyj)
• Spanish: múltiple (es)
• Tagalog: damihan (tl)

exhibited at diverse times or in various ways

• Finnish: moninainen (fi)
• German: vielfach (de), vielfältig (de), wiederkehrend (de), mannigfach (de)
• Greek: πολύμορφος (el) m (polýmorfos)

• Hungarian: sokszor (hu)
• Italian: manifesto (it)

AdverbEdit

manifold (comparative more manifold, superlative most manifold)

1. Many times; repeatedly.
   • 1590, Edmund Spenser, The Faerie Queene, I.xii:

     when his daughter deare he does behold, / Her dearely doth imbrace, and kisseth manifold.

Etymology 2Edit

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”).

VerbEdit

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.

TranslationsEdit

multiply

• Czech: rozmnožit