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
Networking
  • network management system

    A network management system, or NMS, is an application or set of applications that lets network engineers manage a network's ...

  • host (in computing)

    A host is a computer or other device that communicates with other hosts on a network.

  • Network as a Service (NaaS)

    Network as a service, or NaaS, is a business model for delivering enterprise WAN services virtually on a subscription basis.

Security
  • WebAuthn API

    The Web Authentication API (WebAuthn API) is a credential management application program interface (API) that lets web ...

  • Common Vulnerability Scoring System (CVSS)

    The Common Vulnerability Scoring System (CVSS) is a public framework for rating the severity of security vulnerabilities in ...

  • Dridex malware

    Dridex is a form of malware that targets victims' banking information, with the main goal of stealing online account credentials ...

CIO
  • audit program (audit plan)

    An audit program, also called an audit plan, is an action plan that documents what procedures an auditor will follow to validate ...

  • blockchain decentralization

    Decentralization is the distribution of functions, control and information instead of being centralized in a single entity.

  • outsourcing

    Outsourcing is a business practice in which a company hires a third party to perform tasks, handle operations or provide services...

HRSoftware
  • team collaboration

    Team collaboration is a communication and project management approach that emphasizes teamwork, innovative thinking and equal ...

  • employee self-service (ESS)

    Employee self-service (ESS) is a widely used human resources technology that enables employees to perform many job-related ...

  • learning experience platform (LXP)

    A learning experience platform (LXP) is an AI-driven peer learning experience platform delivered using software as a service (...

Customer Experience
  • Net Promoter Score (NPS)

    Net Promoter Score (NPS) is a metric that organizations use for assessing customer loyalty toward their brand, products or ...

  • B2C (business-to-consumer)

    B2C, or business-to-consumer, is a retail model where products or services move directly from a business to the end user who has ...

  • market segmentation

    Market segmentation is a marketing strategy that uses well-defined criteria to divide a brand's total addressable market share ...

Close