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.
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.
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 Englishdimensioun (< Anglo-French) < Latindīmēnsiōn- (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
(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]
early 15c., from L. dimensionem (nom. dimensio), from stem of dimetri "to measure out," from dis- + metri "to measure." Related: Dimensional; dimensions.
Any one of the three physical or spatial properties of length, area, and volume. In geometry, a point is said to have zero dimension; a figure having only length, such as a line, has one dimension; a plane or surface, two dimensions; and a figure having volume, three dimensions. The fourth dimension is often said to be time, as in the theory of General Relativity. Higher dimensions can be dealt with mathematically but cannot be represented visually.
The measurement of a length, width, or thickness.
A unit, such as mass, time, or charge, associated with a physical quantity and used as the basis for other measurements, such as acceleration.