manifold

Definitions

  • WordNet 3.6
    • adj manifold many and varied; having many features or forms "manifold reasons","our manifold failings","manifold intelligence","the multiplex opportunities in high technology"
    • v manifold combine or increase by multiplication "He managed to multiply his profits"
    • v manifold make multiple copies of "multiply a letter"
    • n manifold a pipe that has several lateral outlets to or from other pipes
    • n manifold a set of points such as those of a closed surface or an analogue in three or more dimensions
    • n manifold a lightweight paper used with carbon paper to make multiple copies "an original and two manifolds"
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Webster's Revised Unabridged Dictionary
    • Manifold A copy of a writing made by the manifold process.
    • Manifold (Mech) A cylindrical pipe fitting, having a number of lateral outlets, for connecting one pipe with several others; as, the exhaust manifold of an automobile engine.
    • Manifold Exhibited at divers times or in various ways; -- used to qualify nouns in the singular number. "The manifold wisdom of God.""The manifold grace of God."
    • Manifold The third stomach of a ruminant animal.
    • v. t Manifold To take copies of by the process of manifold writing; as, to manifold a letter.
    • Manifold Various in kind or quality; many in number; numerous; multiplied; complicated. "O Lord, how manifold are thy works!""I know your manifold transgressions."
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Century Dictionary and Cyclopedia
    • manifold Of many kinds; numerous in kind or variety; varied; diverse.
    • manifold 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,”
    • n manifold 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.
    • n manifold 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.
    • n manifold A copy or facsimile made by means of a manifold-writer, or by the use of carbon-paper in a type-writer, etc.
    • n manifold 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.
    • manifold Many times; in multiplied number or quantity.
    • manifold 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.
    • n manifold 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.
    • n manifold Same as manifold-valve.
    • n manifold The third stomach of a ruminant; the manyplies; the intestines generally.
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Chambers's Twentieth Century Dictionary
    • adj Manifold man′i-fōld various in kind or quality: many in number: multiplied
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Quotations

  • Aldous Huxley
    Aldous%20Huxley
    “A large city cannot be experientially known; its life is too manifold for any individual to be able to participate in it.”

Etymology

Webster's Revised Unabridged Dictionary
AS. manigfeald,. See Many, and Fold

Usage

In literature:

And with you that is more significant than if you had detailed most minutely her manifold attractions.
"The Cab of the Sleeping Horse" by John Reed Scott
We know the right remedy for at least staving off the impending universal crisis lies in the manifold opportunities of creating outlets.
"Origin of the Anglo-Boer War Revealed (2nd ed.)" by C. H. Thomas
Grand and manifold as were its phases, there is yet no difficulty in understanding the character of Washington.
"Washington's Birthday" by Various
A measure of her manifold talents was shared by other members of her family.
"A Book of the Play" by Dutton Cook
From this manifoldness, it necessarily follows that some are more, some less, fit for the particular economic task.
"Psychology and Industrial Efficiency" by Hugo Münsterberg
The uses of literature are manifold.
"English Literature, Considered as an Interpreter of English History" by Henry Coppee
And furthermore, he had for a while yielded to the manifold fascinations of that devilish brown-eyed beauty.
"The Inner Sisterhood" by Douglass Sherley et al.
In this, as in other matters, the teaching of the Upanishads is manifold and unsystematic compared with later doctrines.
"Hinduism and Buddhism, Vol I. (of 3)" by Charles Eliot
Then when his daughter deare he does behold, Her dearely doth imbrace, and kisseth manifold.
"Spenser's The Faerie Queene, Book I" by Edmund Spenser
The various conditions which may act on an organism producing the changes which are necessary for disease are manifold.
"Disease and Its Causes" by William Thomas Councilman
In that pretty room she made a charming picture, which for a moment almost made me forget the manifold dangers besetting me.
"The Man with the Clubfoot" by Valentine Williams
The use of this is manifold.
"Tender Buttons" by Gertrude Stein
Well might the bishop and his priests bow their heads in the midst of such manifold tribulations of death and disaster.
"The Great Lone Land" by W. F. Butler
It is immeasurable and unapproachable by men of manifold sins.
"The Mahabharata of Krishna-Dwaipayana Vyasa, Volume 1"
Although alone, they saw him multiplied manifold, and were stupefied by his energy.
"The Mahabharata of Krishna-Dwaipayana Vyasa, Volume 2"
Every one knows such images in his own dreams; manifold are their origins.
"Dream Psychology" by Sigmund Freud
The San Kai Ri shows how superstitious manifold became imbedded in Buddhism.
"The Religions of Japan" by William Elliot Griffis
My son, beware of the manifold snares of the devil.
"The Secret Chamber at Chad" by Evelyn Everett-Green
His mind leaped always to the manifold suggestions of any well-remembered place.
"Poor Man's Rock" by Bertrand W. Sinclair
His feet suffered manifold hairbreadth escapes from the sharp blade.
"Burned Bridges" by Bertrand W. Sinclair
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In poetry:

But Father, thou hast blessings poured
On all our wayward days
And now thy mercies manifold
Have filled our hearts with praise
"Thanksgiving" by Hanford Lennox Gordon
"He opened to me his home and heart—
He whom you call so stern and cold—
And my grateful heart I may well bestow
On him for his kindness manifold."
"Rose In The Garden" by Horatio Alger Jr
In the manifold sound remote,
In the molten murmur of song,
There was but a sharp sole note
Alive on the night and afloat,
The cry of the world's heart's wrong.
"Tenebrae" by Algernon Charles Swinburne
Wonderous truths, and manifold as wonderous,
God has written in those stars above;
But not less in the bright flowers under us
Stands the revelation of his love.
"Voices Of The Night : Flowers" by Henry Wadsworth Longfellow
Sweet is the vale, thou sayest, O my mountain,
And graces manifold its bosom fill;
But know I not that fulness hath its fountain
In the deep heart of some eternal hill?
"The Maiden's Reply To The Mountain" by Samuel John Stone
And you, paid to defile the People! you liars, mark!
Not for numberless agonies, murders, lusts,
For court thieving in its manifold mean forms, worming from his
simplicity the poor man's wages,
"Europe, The 72d And 73d Years Of These States" by Walt Whitman

In news:

Most nonlinear dimensionality reduction approaches such as Isomap heavily depend on the neighborhood structure of manifold.
There's a snake in his manifold .
Anne Neely-Beck holds the lunch she made Thursday using the manifold oven on the Model A Ford.
High-Force Manifold System a Formability Enabler.
DMS offers the compact water manifold system Koolflow manifold .
Compact, Flexible Water Manifold System.
The first time I visited his Northern California garage and saw those manifolds mounted like so many silver trophies on his garage walls, I was hooked.
Hauck's Regulator Gas Manifold (RGM) is a factory assembled and prepiped gas train designed to provide overpressure protection and precise outlet pressure control.
R-and PR-6000 pressure regulators mount directly on pneumatic circuit boards or manifold subplates.
A new Filter-Regulator- Manifold (FRM) assembly kit from Nordson Corp.
However with this manifold , each turbo gets a pulse every 180 degrees rather than at the uneven intervals.
The gauges used on a traditional manifold set do not read the level of pressures you will encounter with the high-pressure refrigerants .
Sub-Miniature Manifolds for Solenoid Valves.
Manifolds, cartridge valves, and filters contribute to reliable operation of Translift's side-loading collection vehicles.
Original 4 barrel manifold, valve covers.
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In science:

Note that every Sasakian manifold is an almost contact metric manifold.
Locally Sasakian Manifolds
In particular, given a string theory compactified on a CY manifold M, there is another CY manifold W , the mirror manifold , that gives the same physical results.
Conformal field theory, boundary conditions and applications to string theory
Thus, simulating a random sprinkling in a region R which is part of an infinite-volume manifold Σ is a two-step process, in which one first generates the number NR of points in R using the distribution PPoisson (NR |ρVR ), and then generates locations for those points inside R as in the compact manifold case.
Statistical geometry of random weave states
It is also interesting to note (see ) that the two-fold covering of this orbifold is Weeks-Mateveev-Fomenko manifold — the hyperbolic manifold of the smallest known volume. (Of course, here we could use the symmetry of the singular graph from the beginning and initially suppose tr(AB) = tr(AC) = tr(BC).
Singular sets and parameters of generalized triangle orbifolds
We confirm that if the 5D manifold in our model is Ricciflat, then there is an induced cosmological constant in the 4D sub-manifold.
Null Geodesics in Five Dimensional Manifolds
Let ϕ : (M , g ) → (N , h) be a submersive harmonic morphism from a real-analytic manifold onto a smooth manifold.
Harmonic morphisms with one-dimensional fibres on Einstein manifolds
In , the space G [X, Y ] of Colombeau generalized functions on the manifold X taking values in the manifold Y as well as the space HomG [E , F ] of generalized vector bundle homomorphism from E to F was defined.
Generalized pseudo-Riemannian geometry
Ultimately, the author wants to use this to relate the Hochschild-cohomology of a cochain-model of a compact manifold to the homology of the free loop space of the given manifold.
Infinity-Inner-Products on A-Infinity-Algebras
It is important to note that most theories listed below try to quantize metrics but not topology, as the considered class of graphs is related to one fixed manifold or with some class of manifolds of rather restricted topology.
Gibbs and Quantum Discrete Spaces
Let X be an oriented n-dimensional manifold and let πX Y : Y → X be a fiber bundle with standard fiber a k-dimensional manifold. (Note: In general, we shall denote a pro jection from A onto B as πBA .) A classical field is a section of the field configuration space Y over the parameter space X .
A Frame Bundle Generalization of Multisymplectic Momentum Mappings
The topological background for this is that in general one cannot connect two different manifolds by a reasonable arc consisting of manifolds only.
Relative Zeta Functions, Determinants, Torsion, Index Theorems and Invariants for Open Manifolds
Exactly spoken, this is for open manifolds very rarely the case and definitely wrong for underlying manifolds satisfying (I ) and (Bk ).
Relative Zeta Functions, Determinants, Torsion, Index Theorems and Invariants for Open Manifolds
The first three are straightforward: the special case of manifolds (4.1) with its corollary the finiteness of compact finite dimensional ANRs (the Borsuk conjecture), and collaring in homology manifolds (4.3).
Lectures on controlled topology: mapping cylinder neighborhoods
We suppose the complement X − Y is a manifold since we use manifold techniques there.
Lectures on controlled topology: mapping cylinder neighborhoods
Suppose M is an ANR homology manifold of dimension ≥ 5, the embedding ∂M ⊂ M has local ly 1-connected complement, and M − ∂M is a manifold.
Lectures on controlled topology: mapping cylinder neighborhoods
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