Definition of DImension. Meaning of DImension. Synonyms of DImension

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Definition of DImension

Dimension
Dimension Di*men"sion, n. [L. dimensio, fr. dimensus, p. p. of dimetiri to measure out; di- = dis- + metiri to measure: cf. F. dimension. See Measure.] 1. 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. --W. Irving. Space of dimension, extension that has length but no breadth or thickness; a straight or curved line. Space of two dimensions, extension which has length and breadth, but no thickness; a plane or curved surface. Space of three dimensions, extension which has length, breadth, and thickness; a solid. Space of four dimensions, as imaginary kind of extension, which is assumed to have length, breadth, thickness, and also a fourth imaginary dimension. Space of five or six, or more dimensions is also sometimes assumed in mathematics. 2. Extent; reach; scope; importance; as, a project of large dimensions. 3. (Math.) The degree of manifoldness of a quantity; as, time is quantity having one dimension; volume has three dimensions, relative to extension. 4. (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, a^2b^2c is a term of five dimensions, or of the fifth degree. 5. pl. (Phys.) The manifoldness with which the fundamental units of time, length, and mass are involved in determining the units of other physical quantities. Note: Thus, since the unit of velocity varies directly as the unit of length and inversely as the unit of time, the dimensions of velocity are said to be length [divby] time; the dimensions of work are mass [times] (length)^2 [divby] (time)^2; the dimensions of density are mass [divby] (length)^3.

Meaning of DImension from wikipedia

- In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify...
- Fifth Dimension or fifth dimension may refer to: Five-dimensional space, a mathematical concept or construct The 5th Dimension, a pop music vocal group...
- Look up fourth dimension in Wiktionary, the free dictionary. Fourth dimension may refer to: Time in physics, the continued progress of existence and events...
- Dimension 20 is a tabletop role-playing game show produced by and broadcast on Dropout, and created and generally hosted by Brennan Lee Mulligan as the...
- In theoretical physics, the scaling dimension, or simply dimension, of a local operator in a quantum field theory characterizes the rescaling properties...
- 11th dimension may refer to: 11-dimensional supergravity, a field theory that combines the principles of supersymmetry and general relativity. 11-dimensional...
- In mathematics, Hausdorff dimension is a measure of roughness, or more specifically, fractal dimension, that was introduced in 1918 by mathematician Felix...
- the Natarajan dimension characterizes the complexity of learning a set of functions, generalizing from the Vapnik-Chervonenkis dimension for boolean functions...
- In abstract algebra, the weak dimension of a nonzero right module M over a ring R is the largest number n such that the Tor group Tor n R ⁡ ( M , N )...
- Look up dimension in Wiktionary, the free dictionary. The dimension of a space or object is informally defined as the minimum number of coordinates needed...