# dimension

## Definitions

• The dimensions of a tennis court
• WordNet 3.6
• v dimension shape or form to required dimensions
• v dimension indicate the dimensions on "These techniques permit us to dimension the human heart"
• n dimension magnitude or extent "a building of vast proportions"
• n dimension the magnitude of something in a particular direction (especially length or width or height)
• n dimension a construct whereby objects or individuals can be distinguished "self-confidence is not an endearing property"
• n dimension one of three Cartesian coordinates that determine a position in space
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Webster's Revised Unabridged Dictionary
• Interesting fact: The dimensions of a regulation football field are: 360 feet long and 160 feet wide.
• Dimension (Alg) A literal factor, as numbered in characterizing a term. The term dimensions forms with the cardinal numbers a phrase equivalent to degree with the ordinal; thus, a2b2c is a term of five dimensions, or of the fifth degree.
• Dimension Extent; reach; scope; importance; as, a project of large dimensions .
• Dimension Measure in a single line, as length, breadth, height, thickness, or circumference; extension; measurement; -- usually, in the plural, measure in length and breadth, or in length, breadth, and thickness; extent; size; as, the dimensions of a room, or of a ship; the dimensions of a farm, of a kingdom. "Gentlemen of more than ordinary dimensions ."
• Dimension (Math) The degree of manifoldness of a quantity; as, time is quantity having one dimension; volume has three dimensions, relative to extension.
• Dimension (Phys) The manifoldness with which the fundamental units of time, length, and mass are involved in determining the units of other physical quantities.
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Century Dictionary and Cyclopedia
• Interesting fact: The hair of man's beard are about as strong as copper wire of the same dimensions.
• n dimension Magnitude measured along a diameter; the measure through a body or closed figure along one of its principal axes; length, breadth, or thickness. Thus, a line has one dimension, length: a plane surface two, length and breadth; and a solid three, length, breadth, and thickness. The number of dimensions being equal to the number of principal axes, and that to the number of Independent directions of extension, it has become usual, in mathematics, to express the number of ways of spread of a figure by saying that it has two, three, or n dimensions, although the idea of measurement is quite extraneous to the fact expressed. The word generally occurs in the plural, referring to length, breadth, and thickness.
• n dimension Hence A mode of linear magnitude involved (generally along with others) in the quantity to which it belongs. In algebra, a variable factor, the number of dimensions of an expression being the number of variable factors in that term for which this number is the largest.
• n dimension Bulk; size; extent or capacity: commonly in the plural: as, the question is assuming great dimensions.
• n dimension That which has extension; matter; especially, the human body and its organs: so often in the plural.
• dimension To measure the dimensions of; proportion.
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Chambers's Twentieth Century Dictionary
• Interesting fact: You know the three physical dimensions, and the fourth dimension, time. For years, people have speculated about other dimensions. Experts in theoretical physics now say the major theories about the universe make sense together - and all the math seems to work - if there are 10 dimensions.
• n Dimension di-men′shun usually in pl., measure in length, breadth, and thickness (the three dimensions of space): extent: size
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## Quotations

• Pir Vilayat Khan
“The key to growth is the introduction of higher dimensions of consciousness into our awareness.”
• Jean Baudrillard
“What is a society without a heroic dimension?”
• Clark Moustakas
“When we are not honest, we are cut off from a significant resource of ourselves, a vital dimension that is necessary for unity and wholeness.”
• Oliver Wendell Holmes
“A mind once stretched by a new idea never regains its original dimensions.”
• Oliver Wendell Holmes
“Man's mind, stretched by a new idea, never goes back to its original dimensions.”
• Lao-Tzu
“For the wise man looks into space and he knows there is no limited dimensions.”

## Etymology

Webster's Revised Unabridged Dictionary
L. dimensio, fr. dimensus, p. p. of dimetiri, to measure out; di- = dis-, + metiri, to measure: cf. F. dimension,. See Measure
Chambers's Twentieth Century Dictionary
Fr.,—L. dimensiodimetīri, dimensusdi(= dis), apart, metīri, to measure.

## Usage

### In literature:

This, of course, is beyond your comprehension, since the Ninth Dimension is involved.
"Astounding Stories of Super-Science, August 1930" by Various
The Benedictine Abbey, the Church of St. Remi, is likewise notable in all of its dimensions and details.
"The Cathedrals of Northern France" by Francis Miltoun
Thought is vibration in one dimension; matter in two.
"Astounding Stories of Super-Science, November, 1930" by Various
They lay but a single white egg, the average dimensions of which are slightly smaller than those of the common Fulmar.
"The Bird Book" by Chester A. Reed
We come from a dimension your mind wouldn't accept even if I explained it, so I'll save words.
"I'll Kill You Tomorrow" by Helen Huber
Every dimension is at right angles to all other dimensions, of course.
"Astounding Stories of Super-Science January 1931" by Various
The cavity which contains the fluid may have the dimensions of a hen's egg, an apple, or a child's head.
"Special Report on Diseases of Cattle" by U.S. Department of Agriculture
He was of a beautiful black, and his horns were of very large dimensions.
"Adventures in the Philippine Islands" by Paul P. de La Gironière
We're not the only people experimenting with the Fifth Dimension.
"The Fifth-Dimension Tube" by William Fitzgerald Jenkins
They are important necessities, and should not be cramped in dimensions.
"The Turkish Bath" by Robert Owen Allsop
Dimension to join his fiancee in its magnetic torture-fields.
"Astounding Stories, April, 1931" by Various
While armies and navies of large dimensions are necessities for nations to-day, is it always to be so?
"The Truth About America" by Edward Money
They were sometimes as much as 6 feet deep and frequently 4 by 7 feet in horizontal dimensions.
"Ancient art of the province of Chiriqui, Colombia" by William Henry Holmes
Measuring one dimension is quite within the powers of six-year-olds.
"Primary Handwork" by Ella Victoria Dobbs
I, at least, have that avenue of self-preservation plus the dimension of reason.
"The Land of Look Behind" by Paul Cameron Brown
The dimensions and relative size of apartments can be determined from the plan.
"Soil Culture" by J. H. Walden
What has speed to do with painting on a flat surface, painting in two dimensions of space?
"Ivory Apes and Peacocks" by James Huneker
Saint-Nicolas-du-Port boasts a remarkable cathedral of mediaeval architecture, of enormous dimensions.
""And they thought we wouldn't fight"" by Floyd Gibbons
Dimensions, 1-1/2 x 3 x 4-3/4 in.
"Premo Cameras, 1914." by Canadian Kodak Company
The dimensions of a canal, apart from considerations of water-supply, are regulated by the size of the vessels which are to be used on it.
"Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 2" by Various
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### In poetry:

"Heaven is beautiful, Earth is ugly,"
The three-dimensioned preacher saith;
So we must not look where the snail and the slug lie
For Psyche's birth. . . . And that is our death!
"Butterflies" by Rudyard Kipling
So little happens; the black dog
Cracking his fleas in the hot sun
Is history. Yet the girl who crosses
From door to door moves to a scale
Beyond the bland day's two dimensions.
"The Village" by R S Thomas
(Say we and make up a visage)
So many men with such various intentions,
Down the past ages, must know more than this age!
Leave we the web its dimensions!
"Master Hugues Of Saxe-Gotha" by Robert Browning
In the hour-glass of the heart sand trickles lazily
Feet taken off with boots stand in a corner
on guard when at night stiffening on the throne
the king heirlessly forfeits his third dimension
"A Description Of The King" by Zbigniew Herbert
External and innate dimensions hold
The living forms, but not the force of life;
For that interior and holy tree
That in the heart of hearts outlives the world
"Seed" by Kathleen Raine
The world has third dimension still.
The trees stand pitifully without cover.
By distinguishing everybody at a distance,
we must get used to the new flat surface
and walk high past the bare border.
"November" by Gerrit Achterberg

### In news:

Ignore their fabricated story about being from a parallel dimension called Lake Land.
Specifications often require inspection of dimensional relationships between two features, or between two dimensions on the same feature.
Compared to single-dimension specifications (such as diameter), these " relational " specifications can be challenging to inspect.
Aerosmith released Legendary Child as a single from Music From Another Dimension (11/6) a few months back, and now they've reworked the song for the Patriots.
The line between painting and sculpture blurs when the layers of paint pile up, scratching the third dimension, protruding into our world.
The sneaky fact about rowhouses, though, is that no matter how expansive their dimensions, they still often have only one or two rooms per floor.
In triplicate, ghouls, musketeers and dimensions all disappoint.
The development of scaffolds and their use in cell culture is a proven approach that provides the additional vertical axis or third dimension into which cells can grow.
WHY IT WORKS "Keri Hilson has an oval face and the cut adds dimension to her cheekbones," says Garren.
Family life in the digital age has added a dimension of complexity to battles over how much television and other distractions parents allow their children.
ANSI/ISA-75.08.07-2001 (R2007) Face-to-Face Dimensions for Separable Flanged Globe-Style Control Valves (Classes 150, 300, and 600).
'Mall Cop' director takes on Dimension comedy.
Dimension Films has signed Steve Carr to direct " Short Circuit, " the remake of the 1986 SciFi pic.
Dimension Films has signed Steve Carr to direct "Short Circuit," the remake of the 1986 SciFi pic.
Aerosmith Music From Another Dimension.
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### In science:

Then, the scaling dimensions depend on a ﬁnite number of parameters and with a good guess on the ﬁeld theory side, one in principle should be able to predict an inﬁnite tower of dimensions from KK analysis.
AdS/CFT Correspondence and Type 0 String Theory
The exponent Df (β, m) is known as the Hausdorff-Basicovitch dimension of the set or as the fractal dimension which is simply the real positive root of the equation (3).
Formation of a New Class of Random Fractals in Fragmentation with Mass Loss
We can obtain the fractal dimension for different values of β, which is simply the real positive root of the equation (3). A detailed survey reveals that the fractal dimension increases monotonically with increasing β .
Formation of a New Class of Random Fractals in Fragmentation with Mass Loss
It is also shown that every locally Sasakian-Einstein manifold in 2k + 1 dimensions is generated by a locally K¨ahler-Einstein manifold in dimension 2k.
Locally Sasakian Manifolds
In order to do so, we observe that for p-branes the dimension of the world-volume in equation (1) is the same as the dimension of the embedding space-time, namely p + 1.
A note on topological brane theories
The dimension (or degree ) of ρ is deﬁned to be the dimension of V and is denoted by dρ .
Random walks on wreath products of groups
J-H Park, Superconformal symmetry in six dimensions and its reduction to four dimensions, Nucl.
Aspects of the D=6, (2,0) Tensor Multiplet
Gravity theories in general dimensions have a dimensionful coupling constant that precludes the notion of perturbative renormalizability in the sense of Wilson.
On the finiteness of N=8 quantum supergravity
In higher dimensions spine 2-deformation implies diffeomorphism, but in dimension 4 the fundamental group of the boundary may change.
Dual 2-complexes in 4-manifolds
The simplest procedure ﬁxes a dimension and changes both complexes one dimension higher.
Dual 2-complexes in 4-manifolds
Since T has ﬁnite pro jective dimension over A and the left module A has ﬁnite injective dimension it follows that T also has ﬁnite injective dimension over A.
Dualizing Complexes and Tilting Complexes over Simple Rings
That can be seen from a dimension count: the linear system |K | has (real) dimension 2(pg − 1), while the family GW invariant lies in dimension 2 (−K · K + (g − 1) + pg ) = 2pg (cf.
Family Gromov-Witten Invariants for Kahler Surfaces
Now, if we consider an effective action for string theory, say, in D + 1 dimensions and reduce it to D dimensions, the size of the compact dimension arises as factor in front of the (D-dimensional) action, and can be further interpreted as a coupling constant.
String Theory or Field Theory?
For D ∈ Pic(X )Q we let κ(D) be the Kodaira dimension of D, κ(X ) = κ(KX ) the Kodaira dimension of X and κ(X, D) := κ(KX + D) the corresponding log-Kodaira dimension.
Special elliptic fibrations
It is shown that if H has a simple subcoalgebra of dimension 9 and has no simple subcoalgebras of even dimension, then H contains either a grouplike element of order 2 or 3, or a family of simple subcoalgebras whose dimensions are the squares of each positive odd integer.
The Grothendieck Group of Hopf Algebras
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