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Encyclopedia > Scale factor

A scale factor is a number which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x. C is also the coefficient of x, and may be called the constant of proportionality of y to x. For example, doubling distances corresponds to a scale factor of 2 for distance. The term scaling can have several manings: Scaling can be defined as the determination of the interdependency of variables in a physical system. ... For other senses of this word, see coefficient (disambiguation). ... This article is about proportionality, the mathematical relation. ...

## Contents

#### Applications

There is also a scale factor for the expansion of the Universe. The scale factor, parameter of Friedmann-LemaÃ®tre-Robertson-Walker model, is a function of time which represents the relative expansion of the universe. ...

#### Computer Science

Scale factors are used in computer science when certain real world numbers need to be represented on a different scale in order to fit a required number format. See Scale Factor (Computer Science). A scale factor is used in computer science when a real world set of numbers needs to represented on a different scale in order to fit a specific number format. ...

#### Geometry

A factor can be used to scale shapes in 1, 2, or 3 dimensions (and conceptually even more.) There are a few interesting properties of scaling which are relevant: In geometry, two sets of points are of the same shape precisely if one can be transformed to another by dilating (i. ... 2-dimensional renderings (ie. ...

• The length of a line that is scaled is the previous length times the scale factor. In other words:

. For other uses of this word, see Length (disambiguation). ...

• The area of a shape in two-space (a circle, for example) is equal to the previous area times the square of the scale factor. In other words:

• The volume of a shape in three-space is equal to the cube of the scale factor times the initial volume. In other words:

. For other uses, see Volume (disambiguation). ... In arithmetic and algebra, the cube of a number n is its third power — the result of multiplying it by itself two times: n3 = n × n × n. ...

See Cartesian coordinate system or Coordinates (elementary mathematics) for a more elementary introduction to this topic. ... Centroid of a triangle In geometry, the centroid or barycenter of an object in -dimensional space is the intersection of all hyperplanes that divide into two parts of equal moment about the hyperplane. ... In mathematics, an inverse function is in simple terms a function which does the reverse of a given function. ... The reciprocal function: y = 1/x. ...

The concept of scale is applicable if a system is represented proportionally by another system. ... A variable scale for measuring maps The scale of a map is the ratio of a single unit of distance on the map to the equivalent distance on the ground. ... A scale model of the Tower of London. ... // Look up scale in Wiktionary, the free dictionary. ... In Euclidean geometry, uniform scaling is a linear transformation that enlarges or diminishes objects; the scale factor is the same in all directions; it is also called a homothety. ... In linear algebra, real numbers are called scalars and relate to vectors in a vector space through the operation of scalar multiplication, in which a vector can be multiplied by a number to produce another vector. ... Two bodies with a slight difference in mass orbiting around a common barycenter. ... Results from FactBites:

 Scale factor (Universe) - Wikipedia, the free encyclopedia (192 words) The scale factor, parameter of Friedmann-Lemaître-Robertson-Walker model, is a function of time which represents the relative expansion of the universe. The scale factor could, in principle, have units of length or be dimensionless. The evolution of the scale factor is a dynamical question, determined by the equations of general relativity, which are presented in the case of a locally isotropic, locally homogeneous universe by the Friedmann equations.
 Scale factor - Wikipedia, the free encyclopedia (111 words) In the equation y = Cx, C is the scale factor for x. C is also the coefficient of x, and may be called the constant of proportionality of y to x. There is also a scale factor for the expansion of the Universe.
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