Browse Definitions :

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
  • CSU/DSU (Channel Service Unit/Data Service Unit)

    A CSU/DSU (Channel Service Unit/Data Service Unit) is a hardware device about the size of a modem. It converts a digital data ...

  • data streaming

    Data streaming is the continuous transfer of data from one or more sources at a steady, high speed for processing into specific ...

  • secure access service edge (SASE)

    Secure access service edge, also known as SASE and pronounced sassy, is a cloud architecture model that bundles network and ...

  • application blacklisting (application blocklisting)

    Application blacklisting --increasingly called application blocklisting -- is a network or computer administration practice used ...

  • juice jacking

    Juice jacking is a security exploit in which an infected USB charging station is used to compromise devices that connect to it.

  • hypervisor security

    Hypervisor security is the process of ensuring the hypervisor -- the software that enables virtualization -- is secure throughout...

  • recruitment process outsourcing (RPO)

    Recruitment process outsourcing (RPO) is when an employer turns the responsibility of finding potential job candidates over to a ...

  • human resources (HR) generalist

    A human resources generalist is an HR professional who handles the daily responsibilities of talent management, employee ...

  • employee lifecycle

    The employee lifecycle is a human resources model that identifies the different stages a worker advances through in an ...

Customer Experience
  • Adobe Experience Platform

    Adobe Experience Platform is a suite of customer experience management (CXM) solutions from Adobe.

  • virtual assistant (AI assistant)

    A virtual assistant, also called an AI assistant or digital assistant, is an application program that understands natural ...

  • inbound marketing

    Inbound marketing is a strategy that focuses on attracting customers, or leads, via company-created internet content, thereby ...