Browse Definitions :
Definition

absolute value

Absolute value is a term used in mathematics to indicate the distance of a point or number from the origin (zero point) of a number line or coordinate system. This can apply to Scalar or vector quantities. The symbol for absolute value is a pair of vertical lines, one on either side of the quantity whose absolute value is to be determined.

Suppose x is a real number. Then the absolute value of x is defined as follows:

For x = 0 or x > 0, | x | = x
For x < 0, | x | = - x

Alternatively, the absolute value of a real number x is equal to the positive square root of x 2 :

| x | = ( x 2 ) 1/2

Let a + jb be a complex number, where a and b are real numbers and j is the positive square root of -1. (The symbol j is standard in engineering practice; mathematicians symbolize the positive square root of -1 as i .) Then the absolute value of a + jb , also called the modulus, is defined as follows:

| a + jb | = ( a 2 + b 2 ) 1/2

The absolute value of a vector in n dimensions is defined in terms of the coordinates of its termination point, in Cartesian n -space, assuming its origin coincides with the point where all coordinate values are zero. Suppose v is a vector in n dimensions, represented by the following coordinates:

v = ( v 1 , v 2 , v 3 , ..., v n )

Then the absolute value of v is given by:

| v | = ( v 1 2 + v 2 2 + v 3 2 + ... + v n 2 ) 1/2

Also see Mathematical Symbols .

This was last updated in November 2010
SearchNetworking
SearchSecurity
  • man in the browser (MitB)

    Man in the browser (MitB) is a security attack where the perpetrator installs a Trojan horse on the victim's computer that is ...

  • Patch Tuesday

    Patch Tuesday is the unofficial name of Microsoft's monthly scheduled release of security fixes for the Windows operating system ...

  • parameter tampering

    Parameter tampering is a type of web-based cyber attack in which certain parameters in a URL are changed without a user's ...

SearchCIO
  • chief procurement officer (CPO)

    The chief procurement officer, or CPO, leads an organization's procurement department and oversees the acquisitions of goods and ...

  • Lean Six Sigma

    Lean Six Sigma is a data-driven approach to improving efficiency, customer satisfaction and profits.

  • change management

    Change management is a systematic approach to dealing with the transition or transformation of an organization's goals, processes...

SearchHRSoftware
SearchCustomerExperience
  • clickstream data (clickstream analytics)

    Clickstream data and clickstream analytics are the processes involved in collecting, analyzing and reporting aggregate data about...

  • neuromarketing

    Neuromarketing is the study of how people's brains respond to advertising and other brand-related messages by scientifically ...

  • contextual marketing

    Contextual marketing is an online marketing strategy model in which people are served with targeted advertising based on their ...

Close