# dimensionality

## dimension

[dih-men-shuhn, dahy-]
noun
1.
Mathematics.
a.
a property of space; extension in a given direction: A straight line has one dimension, a parallelogram has two dimensions, and a parallelepiped has three dimensions.
b.
the generalization of this property to spaces with curvilinear extension, as the surface of a sphere.
c.
the generalization of this property to vector spaces and to Hilbert space.
d.
the generalization of this property to fractals, which can have dimensions that are noninteger real numbers.
e.
extension in time: Space-time has three dimensions of space and one of time.
2.
Usually, dimensions.
a.
measurement in length, width, and thickness.
b.
scope; importance: the dimensions of a problem.
3.
unit ( def 6 ).
4.
magnitude; size: Matter has dimension.
5.
Topology.
a.
a magnitude that, independently or in conjunction with other such magnitudes, serves to define the location of an element within a given set, as of a point on a line, an object in a space, or an event in space-time.
b.
the number of elements in a finite basis of a given vector space.
6.
Physics. any of a set of basic kinds of quantity, as mass, length, and time, in terms of which all other kinds of quantity can be expressed; usually denoted by capital letters, with appropriate exponents, placed in brackets: The dimensions of velocity are [LT−1]. Compare dimensional analysis.
7.
dimensions, Informal. the measurements of a woman's bust, waist, and hips, in that order: The chorus girl's dimensions were 38-24-36.
verb (used with object)
9.
to shape or fashion to the desired dimensions: Dimension the shelves so that they fit securely into the cabinet.
10.
to indicate the dimensions of an item, area, etc., on (a sketch or drawing).

Origin:
1375–1425; late Middle English dimensioun (< Anglo-French) < Latin dīmēnsiōn- (stem of dīmēnsiō) a measuring, equivalent to dīmēns(us) measured out (past participle of dīmētīrī, equivalent to dī- di-2 + mētīrī to measure) + -iōn- -ion

dimensionality, noun

2b. range, extent, magnitude.
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World English Dictionary
 dimension (dɪˈmɛnʃən) —n 1. (often plural) a measurement of the size of something in a particular direction, such as the length, width, height, or diameter 2. (often plural) scope; size; extent: a problem of enormous dimensions 3. aspect: a new dimension to politics 4. maths the number of coordinates required to locate a point in space 5. physics a.  the product or the quotient of the fundamental physical quantities (such as mass, length, or time) raised to the appropriate power in a derived physical quantity: the dimensions of velocity are length divided by time b.  the power to which such a fundamental quantity has to be raised in a derived quantity —vb 6. chiefly (US) (tr) a.  to shape or cut to specified dimensions b.  to mark with specified dimensions [C14: from Old French, from Latin dīmensiō an extent, from dīmētīrī to measure out, from mētīrī] di'mensional —adj dimension'ality —n di'mensionally —adv di'mensionless —adj

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Etymonline
Word Origin & History

dimension
early 15c., from L. dimensionem (nom. dimensio), from stem of dimetri "to measure out," from dis- + metri "to measure." Related: Dimensional; dimensions.
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Medical Dictionary

dimension di·men·sion (dĭ-měn'shən, dī-)
n.

1. A measure of spatial extent, especially width, height, or length.

2. Scope or magnitude.

The American Heritage® Stedman's Medical Dictionary