Definitions
from The American Heritage® Dictionary of the English Language, 5th Edition.
- adjective Many and varied; of many kinds; multiple.
- adjective Having many features or forms.
- adjective Being such for a variety of reasons.
- adjective Consisting of or operating several devices of one kind at the same time.
- noun A whole composed of diverse elements.
- noun One of several copies.
- noun A pipe or chamber having multiple apertures for making connections.
- noun Mathematics A topological space in which each point has a neighborhood that is equivalent to a neighborhood in Euclidean space. The surface of a sphere is a two-dimensional manifold because the neighborhood of each point is equivalent to a part of the plane.
- transitive verb To make several copies of, as with carbon paper.
- transitive verb To make manifold; multiply.
from The Century Dictionary.
- noun In mathematics, given a general conception capable of various determinations or determination-modes, the totality of the determinable particulars is a manifold, of which each is an element. The manifold is continuous or discrete, according as the passage from one determination to another is continuous or discrete.
- noun Same as
manifold-valve . - noun The third stomach of a ruminant; the manyplies; the intestines generally.
- Of many kinds; numerous in kind or variety; varied; diverse.
- Exhibiting or embracing many points, features, or characteristics; complicated in character; having many parts or relations: used with nouns in the singular number: as, the manifold wisdom or the manifold grace of God (Eph. iii. 10; 1 Pet. iv. 10); “the manifold use of friendship,”
- noun A complicated object or subject; that which consists of many and various parts; specifically, an aggregate of particulars or units; especially, in mathematics, a multitude of objects connected by a system of relations; an ensemble.
- noun In Kant's theory of knowledge, the total of the particulars furnished by sense before they are connected by the synthesis of the understanding; that which is in the sense and has not yet been in thought.
- noun A copy or facsimile made by means of a manifold-writer, or by the use of carbon-paper in a type-writer, etc.
- noun A tube, usually of cast metal, with one or more flanged or screw-threaded inlets and two or more flanged or screw-threaded outlets for pipe-connections, much used in pipe-fitting for steam-heating coils, or for cooling-coils in breweries, and in other cases where it is useful to convey steam, water, or air from a large pipe into several smaller ones. Also called
T-branch and header. - To make manifold; multiply; specifically, to multiply impressions of by a single operation, as a letter by means of a manifold-writer, or by the use of carbon-paper in a type-writer.
- Many times; in multiplied number or quantity.
from the GNU version of the Collaborative International Dictionary of English.
- noun A copy of a writing made by the manifold process.
- noun (Mech.) A cylindrical pipe fitting, having a number of lateral outlets, for connecting one pipe with several others.
- noun Local, U.S. The third stomach of a ruminant animal.
- transitive verb To take copies of by the process of manifold writing.
- adjective Various in kind or quality; many in number; numerous; multiplied; complicated.
- adjective Exhibited at divers times or in various ways; -- used to qualify nouns in the singular number.
- adjective a process or method by which several copies, as of a letter, are simultaneously made, sheets of coloring paper being infolded with thin sheets of plain paper upon which the marks made by a stylus or a type-writer are transferred; writing several copies of a document at once by use of carbon paper or the like.
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- verb transitive To make manifold;
multiply . - verb transitive, printing To multiply or
reproduce impressions of by a single operation. - noun now historical A
copy made by the manifold writing process. - noun mechanics A pipe
fitting or similardevice that connects multipleinputs oroutputs . - noun US, regional, plural The third
stomach of aruminant animal, anomasum . - noun mathematics A
topological space that lookslocally like the "ordinary"Euclidean space and isHausdorff . - adjective
Various inkind orquality ;many in number;numerous ;multiplied ;complicated ;diverse . - adjective
Exhibited at diverse times or in various ways. - adverb Many times;
repeatedly .
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
- verb combine or increase by multiplication
- verb make multiple copies of
- noun a pipe that has several lateral outlets to or from other pipes
- noun a lightweight paper used with carbon paper to make multiple copies
- adjective many and varied; having many features or forms
- noun a set of points such as those of a closed surface or an analogue in three or more dimensions
Etymologies
from The American Heritage® Dictionary of the English Language, 4th Edition
from Wiktionary, Creative Commons Attribution/Share-Alike License
from Wiktionary, Creative Commons Attribution/Share-Alike License
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Examples
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Some informal background: a Riemannian manifold is a differentiable manifold (where the tangent space at each point has an inner product) with a positive-definite metric tensor, d (x, y) ≥ 0.
Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element 2009
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A familiar Riemannian manifold is a Euclidean manifold (where one has to add a smoothly varying inner product on the tangent space of the standard Euclidean space), with the familiar Euclidean (distance) metric (our 3-space, for example).
Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element 2009
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A familiar Riemannian manifold is a Euclidean manifold (where one has to add a smoothly varying inner product on the tangent space of the standard Euclidean space), with the familiar Euclidean (distance) metric (our 3-space, for example).
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Some informal background: a Riemannian manifold is a differentiable manifold (where the tangent space at each point has an inner product) with a positive-definite metric tensor, d (x, y) ≥ 0.
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The Lorentzian manifold is a pseudo-Riemannian manifold, the generalization of the Riemannian manifold, such that the metric tensor need not be positive-definite.
Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element 2009
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The Lorentzian manifold is a pseudo-Riemannian manifold, the generalization of the Riemannian manifold, such that the metric tensor need not be positive-definite.
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In my sleep I slew them in manifold ways and threw their carcasses into the reservoir.
The Golden Poppy 2010
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They are cultural hybrids, to be sure, combining indigenous traditions with Christian theology in manifold ways.
Introduction 2008
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Then she took her lute and, preluding thereon in manifold modes, lastly returned to the first and sang these couplets,
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Each manifold is the virtual manifestation of your own private paradise.
npydyuan commented on the word manifold
I love how this word can be both academic and automotive.
September 17, 2007