manifold meaning
EN[ˈmænɪˌfold] [ˈmænɪˌfəʊld] [-ænɪfoʊld]US
WManifold
- In mathematics, a manifold is a topological space that resembles Euclidean space near each point. More precisely, each point of an n-dimensional manifold has a neighbourhood that is homeomorphic to the Euclidean space of dimension n.
- Although a manifold resembles Euclidean space near each point, globally it may not.
- The concept of a manifold is central to many parts of geometry and modern mathematical physics because it allows more complicated structures to be described and understood in terms of the relatively well-understood properties of Euclidean space.
- NounPLmanifoldsSUF-fold
- (now historical) A copy made by the manifold writing process.
- (mechanics) A pipe fitting or similar device that connects multiple inputs or outputs.
- (US, regional, in the plural) The third stomach of a ruminant animal, an omasum.
- (mathematics) A topological space that looks locally like the "ordinary" Euclidean space and is Hausdorff.
- (now historical) A copy made by the manifold writing process.
- VerbSGmanifoldsPRmanifoldingPT, PPmanifolded
- (transitive) To make manifold; multiply.
- (transitive, printing) To multiply or reproduce impressions of by a single operation.
- (transitive) To make manifold; multiply.
- AdjectiveCOMmore manifoldSUPmost manifold
- Various in kind or quality, diverse.
- The manifold meanings of the simple English word 'set' are infamous among dictionary makers.
- Many in number, numerous; multiple, multiplied.
- Complicated.
- 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)
- Various in kind or quality, diverse.
- AdverbCOMmore manifoldSUPmost manifold
Definition of manifold in English Dictionary
- Part-of-Speech Hierarchy
- Adjectives
- Adverbs
- Nouns
- Countable nouns
- Countable nouns
- Verbs
- Transitive verbs
- Transitive verbs
- Adjectives
- en manifolds
- en manifolded
- en manifoldly
- en manifoldness
- en manifoldnesses
Source: Wiktionary