- 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.
- the generalization of this property to spaces with curvilinear extension, as the surface of a sphere.
- the generalization of this property to vector spaces and to Hilbert space.
- the generalization of this property to fractals, which can have dimensions that are noninteger real numbers.
- extension in time: Space-time has three dimensions of space and one of time.
- measurement in length, width, and thickness.
- scope; importance: the dimensions of a problem.
- 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.
- the number of elements in a finite basis of a given vector space.
verb (used with object)
Origin of dimension
Synonyms for dimension
Related Words for dimensionalitylargeness, measurement, height, measure, size, ambit, capacity, proportion, length, bigness, width, greatness, scope, importance, reach, bulk, scale, extent, compass, volume
Examples from the Web for dimensionality
Historical Examples of dimensionality
Yet the conception of dimensionality itself is purely conventional.
The question of dimensionality is solely a concern of the objective or brain-mind which is the intellect.
- 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 quantitythe dimensions of velocity are length divided by time
- the power to which such a fundamental quantity has to be raised in a derived quantity
- to shape or cut to specified dimensions
- to mark with specified dimensions
Word Origin for dimension
late 14c., "measurement, size," from Latin dimensionem (nominative dimensio) "a measuring," noun of action from past participle stem of dimetri "to measure out," from dis- (see dis-) + metiri "to measure" (see measure). Meaning "any component of a situation" is from 1929. 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.