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- Manifold can have different meanings depending on the context12345:
- As an adjective, it means many and varied, or having many features or forms124.
- As a noun, it means a pipe or a space in a machine that has several openings, allowing liquids and gases to enter and leave3.
- In mathematics, it means a topological space that locally resembles Euclidean space near each point5.
Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.adjective of many kinds; numerous and varied: manifold duties. having numerous different parts, elements, features, forms, etc.: a manifold program for social reform. using, functioning with, or operating several similar or identical devices at the same time. (of paper business forms) made up of a number of sheets interleaved with carbon paper.www.dictionary.com/browse/manifoldAlso found in: Thesaurus, Acronyms, Encyclopedia, Wikipedia. man·i·fold (măn′ə-fōld′) adj. 1. Many and varied; of many kinds; multiple: our manifold failings. 2. Having many features or forms: manifold intelligence.www.thefreedictionary.com/manifoldmanifold noun [ C ] engineering specialized uk / ˈmæn.ɪ.fəʊld / us / ˈmæn.ə.foʊld / a pipe or closed space in a machine that has several openings, allowing liquids and gases to enter and leavedictionary.cambridge.org/dictionary/english/manifoldMeaning of manifold in English manifold adjective formal us / ˈmæn.ə.foʊld / uk / ˈmæn.ɪ.fəʊld / Add to word list many and of several different types: Despite her manifold faults, she was a strong leader.dictionary.cambridge.org/us/dictionary/english/mani…In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point. More precisely, an n -dimensional manifold, or n-manifold for short, is a topological space with the property that each point has a neighborhood that is homeomorphic to an open subset of n -dimensional Euclidean space.
en.wikipedia.org/wiki/Manifold - People also ask
Web1. a. : marked by diversity or variety. performs the manifold duties required of him J. H. Ferguson. b. : many. the manifold details. 2. : comprehending or uniting various features : multifarious. the romantic symphony, with its manifold melodic content P. H. Lang. 3. : rightfully so-called for many reasons. a manifold liar. 4.
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Webnoun. something having many different parts or features. a copy or facsimile, as of something written, such as is made by manifolding. any thin, inexpensive paper for making carbon copies on a typewriter. Machinery. a chamber having several outlets through which a liquid or gas is distributed or gathered.
A single manifold can be constructed in different ways, each stressing a different aspect of the manifold, thereby leading to a slightly different viewpoint.
Perhaps the simplest way to construct a manifold is the one used in the example above of the circle. First, a subset of is identified, and then an atlas covering this subset is constructed. The concept of manifold grew historically from construc…Wikipedia · Text under CC-BY-SA licenseWebmanifold. noun [ C ] engineering specialized uk / ˈmæn.ɪ.fəʊld / us / ˈmæn.ə.foʊld / a pipe or closed space in a machine that has several openings, allowing liquids and gases to enter and leave. SMART Vocabulary: related words and phrases.
Webmanifold. noun [ C ] engineering specialized us / ˈmæn.ə.foʊld / uk / ˈmæn.ɪ.fəʊld / a pipe or closed space in a machine that has several openings, allowing liquids and gases to enter and leave. SMART Vocabulary: related words and phrases.
Web2 days ago · A manifold is a topological space that is locally Euclidean (i.e., around every point, there is a neighborhood that is topologically the same as the open unit ball in ). To illustrate this idea, consider the ancient belief that the Earth was flat as contrasted with the modern evidence that it is round.
WebAs a noun, a manifold is a pipe branching into many openings, often found in car engines. Definitions of manifold. adjective. many and varied; having many features or forms. “ manifold reasons” “our manifold failings” “ manifold intelligence” synonyms: multiplex. multiple.
Web1. Many and varied; of many kinds; multiple: our manifold failings. 2. Having many features or forms: manifold intelligence. 3. Being such for a variety of reasons: a manifold traitor. 4. Consisting of or operating several devices of one kind at the same time. n. 1. A whole composed of diverse elements. 2. One of several copies. 3.
Web5 days ago · 1. having many and various forms, features, parts, etc. manifold wisdom. 2. of many sorts; many and varied; multifarious. used with a plural noun. manifold duties. 3. being such in many and various ways or for many reasons. a manifold villain. 4. comprising, consisting of, or operating several units or parts of one kind. said of certain devices.
WebBritannica Dictionary definition of MANIFOLD. [count] technical. : a part of an engine that connects different pipes for moving fuel and air into the engine or for carrying gases away from the engine. an intake manifold [=a manifold that brings fuel and air into an engine] an exhaust manifold. — see picture at car.
manifold, adj. & n.¹ meanings, etymology and more | Oxford …
WebWhat does the word manifold mean? There are 15 meanings listed in OED's entry for the word manifold, five of which are labelled obsolete. See ‘Meaning & use’ for definitions, usage, and quotation evidence. manifold has developed meanings and uses in …
Manifold - Encyclopedia of Mathematics
WebJun 6, 2020 · A geometric object which locally has the structure (topological, smooth, homological, etc.) of $ \mathbf R ^ {n} $ or some other vector space. This fundamental idea in mathematics refines and generalizes, to an arbitrary dimension, the …
Manifold | Differential Geometry, Topology & Algebra | Britannica
WebMay 24, 2024 · manifold, in mathematics, a generalization and abstraction of the notion of a curved surface; a manifold is a topological space that is modeled closely on Euclidean space locally but may vary widely in global properties.
manifold noun - Definition, pictures, pronunciation and usage …
WebDefinition of manifold noun in Oxford Advanced Learner's Dictionary. Meaning, pronunciation, picture, example sentences, grammar, usage notes, synonyms and more.
Manifold Definition & Meaning | YourDictionary
WebNoun. Verb. Filter. adjective. Having many and various forms, features, parts, etc. Manifold wisdom. Webster's New World. Similar definitions. Of many sorts; many and varied; multifarious. Manifold duties. Webster's New World. Similar definitions. Being such in many and various ways or for many reasons. A manifold villain. Webster's New World.
manifold - WordReference.com Dictionary of English
Webn. something having many different parts or features. a copy or facsimile, as of something written, such as is made by manifolding. any thin, inexpensive paper for making carbon copies on a typewriter. Automotive [ Mach.]a chamber having several outlets through which a liquid or gas is distributed or gathered.
manifold - Wiktionary, the free dictionary
WebMay 23, 2024 · Noun [ edit] 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, dialectal, chiefly in the plural) The third stomach of a ruminant animal, an omasum .
What is a Manifold? - Mathematics Stack Exchange
WebMar 19, 2015 · What is a Manifold? Ask Question. Asked 9 years, 2 months ago. Modified 3 years, 3 months ago. Viewed 9k times. 37. Now we always encounter definition of a manifold from a mathematical point of view where it is a topological space along with a family of open sets that covers it and the same old symphony.
MANIFOLD Synonyms: 36 Similar and Opposite Words - Merriam …
WebDefinition of manifold. as in various. being of many and various kinds the manifold attractions of that state make it an ideal destination for a family vacation. Synonyms & Similar Words. Relevance. various. multifarious. myriad. diverse. varied. multitudinous. divers. multiform. multiple. heterogeneous. sundry. multiplex. miscellaneous.
manifold, v. meanings, etymology and more - Oxford English …
WebWhat does the verb manifold mean? There are two meanings listed in OED's entry for the verb manifold. See ‘Meaning & use’ for definitions, usage, and quotation evidence. See meaning & use. How common is the verb manifold? About 0.06 occurrences per million words in modern written English. See frequency. How is the verb manifold pronounced?
Web5 days ago · Definition 2.9.Let Mbe a smooth manifold and let D⊂TMbe a smooth equireg-ular distribution of rank r. Let p∈Mand let X 1,...,X n∈Vec(U) be a local frame of TMin a neighborhood Uof p. We say that X 1,...,X n is a stratified basis atpif i) X 1,...,X r is a local frame for Din U; ii)for every i>r, the vector fieldX i is an iterated ...
Manifold - Oxford Reference
WebMay 10, 2024 · Overview. manifold. Quick Reference. In the philosophy of Kant, the manifold is the unorganized flux presented to the senses, but not experienced, since experience results from the mind structuring the manifold by means of concepts. The nature of the unstructured manifold is unknowable (transcendental).
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Web2 days ago · Key Points. Electric vertical takeoff and landing aircraft are poised to become a reality shortly. Archer Aviation is a small-cap player in the space leading the U.S. market in some key respects ...
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