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

Join the conversation

1 comment

Send me notifications when other members comment.

Please create a username to comment.

Who were the scientists that first developed this?
Cancel

-ADS BY GOOGLE

File Extensions and File Formats

Powered by:

SearchCompliance

  • compliance audit

    A compliance audit is a comprehensive review of an organization's adherence to regulatory guidelines.

  • regulatory compliance

    Regulatory compliance is an organization's adherence to laws, regulations, guidelines and specifications relevant to its business...

  • Whistleblower Protection Act

    The Whistleblower Protection Act of 1989 is a law that protects federal government employees in the United States from ...

SearchSecurity

  • payload (computing)

    In computing, a payload is the carrying capacity of a packet or other transmission data unit. The term has its roots in the ...

  • passphrase

    A passphrase is a string of characters longer than the usual password (which is typically from four to 16 characters long) that ...

  • Web application firewall (WAF)

    A Web application firewall (WAF) is a firewall that monitors, filters or blocks traffic to and from a Web application. WAFs are ...

SearchHealthIT

SearchDisasterRecovery

SearchStorage

  • computational storage

    Computational storage is defined as an architecture that couples compute with storage in order to reduce data movement. In doing ...

  • data deduplication

    Data deduplication -- often called intelligent compression or single-instance storage -- is a process that eliminates redundant ...

  • public cloud storage

    Public cloud storage, also called storage-as-a-service or online storage is a service model that provides data storage on a ...

Close