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1. Dictionary

   manifold

   /ˈmanɪfəʊld/

   adjective

   • 1. many and various: formal, literary "the implications of this decision were manifold"
   • ▪ having many different forms or elements: formal, literary "the appeal of the crusade was manifold"

   noun

   • 1. a pipe or chamber branching into several openings: "US aircraft attacked the pipeline manifold feeding the Sea Island"
   • ▪ (in an internal combustion engine) the part conveying air and fuel from the carburettor to the cylinders or that leading from the cylinders to the exhaust pipe: "the exhaust manifold"
   • 2. a collection of points forming a certain kind of set, such as those of a topologically closed surface or an analogue of this in three or more dimensions.
   • 3. (in Kantian philosophy) the sum of the particulars furnished by sense before they have been unified by the synthesis of the understanding.

   Word Origin Old Englishmanigfeald; current noun senses date from the mid 19th century.

   Derivatives

   • 1. manifoldly adverb
   • 2. manifoldness noun

   Scrabble Points: 14

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   • N

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   • I

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     4

   • O

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   • L

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2. www.merriam-webster.com › dictionary › manifoldManifold Definition & Meaning - Merriam-Webster

   www.merriam-webster.com › dictionary › manifold

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   Learn the various meanings and uses of the word manifold as an adjective, adverb, verb, and noun. See synonyms, examples, etymology, and related articles for manifold.

3. dictionary.cambridge.org › dictionary › englishMANIFOLD | English meaning - Cambridge Dictionary

   dictionary.cambridge.org › dictionary › english

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   Learn the meaning of manifold as an adjective and a noun in English, with synonyms, related words and phrases, and usage examples. A manifold is something that has many and of several different types, or a pipe or closed space in a machine with several openings.

4. Videos

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5. en.wikipedia.org › wiki › ManifoldManifold - Wikipedia

   en.wikipedia.org › wiki › Manifold

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   A manifold is a topological space that locally resembles Euclidean space near each point. Learn how manifolds are constructed from charts, how they arise in geometry and physics, and what are the different kinds of manifolds.

6. www.collinsdictionary.com › english › manifoldMANIFOLD definition and meaning | Collins English Dictionary

   www.collinsdictionary.com › english › manifold

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   Learn the meaning of manifold as an adjective, noun, and verb in different contexts, such as mathematics, philosophy, and engineering. See synonyms, examples, and word origin of manifold.

7. People also ask

   What is an infinite dimensional manifold?

   • The definition of a manifold can be generalized by dropping the requirement of finite dimensionality. Thus an infinite dimensional manifold is a topological space locally homeomorphic to a topological vector space over the reals.

   Manifold - Wikipedia

   en.wikipedia.org/wiki/Manifold

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   What is a manifold in physics?

   • Informally, a manifold is a space that is "modeled on" Euclidean space. There are many different kinds of manifolds. In geometry and topology, all manifolds are topological manifolds, possibly with additional structure.

   Manifold - Wikipedia

   en.wikipedia.org/wiki/Manifold

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   What is an example of a manifold?

   • Examples include the plane, the sphere, and the torus, and also the Klein bottle and real projective plane. The concept of a manifold is central to many parts of geometry and modern mathematical physics because it allows complicated structures to be described in terms of well-understood topological properties of simpler spaces.

   Manifold - Wikipedia

   en.wikipedia.org/wiki/Manifold

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   What is a topological manifold?

   • By definition, all manifolds are topological manifolds, so the phrase "topological manifold" is usually used to emphasize that a manifold lacks additional structure, or that only its topological properties are being considered. Formally, a topological manifold is a topological space locally homeomorphic to a Euclidean space.

   Manifold - Wikipedia

   en.wikipedia.org/wiki/Manifold

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   What is a manifold used for?

   • Manifolds naturally arise as solution sets of systems of equations and as graphs of functions. The concept has applications in computer-graphics given the need to associate pictures with coordinates (e.g. CT scans). Manifolds can be equipped with additional structure.

   Manifold - Wikipedia

   en.wikipedia.org/wiki/Manifold

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   What is manifold duties?

   • manifold duties. 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. a manifold enemy. something having many different parts or features.

   MANIFOLD Definition & Meaning - Dictionary.com

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8. www.dictionary.com › browse › manifoldMANIFOLD Definition & Meaning - Dictionary.com

   www.dictionary.com › browse › manifold

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   Manifold can be an adjective, noun or verb, meaning of many kinds, a copy or a chamber. In mathematics, a manifold is a topological space that is connected and locally Euclidean.

9. dictionary.cambridge.org › english › manifoldMANIFOLD | definition in the Cambridge English Dictionary

   dictionary.cambridge.org › english › manifold

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   Learn the meaning of manifold as an adjective and a noun, with examples of usage and pronunciation. Find out how to say manifold in different languages, such as Chinese, Spanish and Portuguese.

10. www.thefreedictionary.com › manifoldManifold - definition of manifold by The Free Dictionary

    www.thefreedictionary.com › manifold

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    A manifold is a device with multiple inlets or outlets, or a topological space with specific properties. Learn more about the different meanings and uses of manifold in various contexts, such as engineering, mathematics, and philosophy.