# What is dimension?

• (noun): The magnitude of something in a particular direction (especially length or width or height).

### Some articles on dimension, dimensions:

Teaching Dimension
... The teaching dimension of a finite concept class can be used to give a lower and an upper bound on the membership query cost of the concept class ... a lower bound is given for the teaching dimension Let C be a concept class over a finite domain X ... If the size of C is greater than then the teaching dimension of C is greater than k ...
Joseph Carens - Citizenship
... Joseph Carens distinguishes three dimensions of citizenship in his book Culture, Citizenship, and Community ... A Contextual Exploration of Justice as Evenhandedness a legal, psychological and political dimension ... The legal dimension refers to the formal rights and duties to the political community to which one belongs, the psychological dimension refers to one’s identification with the ...
Effective Dimension - Comparison To Classical Dimension
... If Z is a subset of 2ω, its Hausdorff dimension is ... The packing dimension of Z is ... Thus the effective Hausdorff and packing dimensions of a set are simply the classical Hausdorff and packing dimensions of (respectively) when we restrict our attention to c.e ...
Dimensional Modeling - Dimension Normalization
... known in the normal flatten de-normalized dimensions ... Dimensions are strictly joined together in sub dimensions ... data (fact) table surrounded by multiple descriptive (dimension) tables Developers often don't normalize dimensions due to several facts Normalization makes the data structure more complex Performance ...
Anomalous Scaling Dimension
... In the latter, the anomalous scaling dimension of an operator is the contribution of quantum mechanics to the classical scaling dimension of that operator ... The classical scaling dimension of an operator O is determined by dimensional analysis from the Lagrangian (in 4 spacetime dimensions this means dimension 1 for ... form where g is a coupling constant, is the classical dimension, and is an ultraviolet cutoff (the maximal allowed energy in the loop integrals) ...

### More definitions of "dimension":

• (noun): Magnitude or extent.
Synonyms: proportion
• (verb): Shape or form to required dimensions.
• (noun): One of three cartesian coordinates that determine a position in space.
• (noun): A construct whereby objects or individuals can be distinguished.
Synonyms: property, attribute
• (verb): Indicate the dimensions on.
Example: "These techniques permit us to dimension the human heart"

### Famous quotes containing the word dimension:

Le Corbusier was the sort of relentlessly rational intellectual that only France loves wholeheartedly, the logician who flies higher and higher in ever-decreasing circles until, with one last, utterly inevitable induction, he disappears up his own fundamental aperture and emerges in the fourth dimension as a needle-thin umber bird.
Tom Wolfe (b. 1931)

By intervening in the Vietnamese struggle the United States was attempting to fit its global strategies into a world of hillocks and hamlets, to reduce its majestic concerns for the containment of communism and the security of the Free World to a dimension where governments rose and fell as a result of arguments between two colonels’ wives.
Frances Fitzgerald (b. 1940)

God cannot be seen: he is too bright for sight; nor grasped: he is too pure for touch; nor measured: for he is beyond all sense, infinite, measureless, his dimension known to himself alone.
Marcus Minucius Felix (2nd or 3rd cen. A.D.)