Absolute Value

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf Mathematical Function
gptkbp:alsoKnownAs Modulus
gptkbp:codomain Non-negative Real Numbers
gptkbp:defines |x| = -x if x < 0
|x| = x if x >= 0
gptkbp:domain gptkb:Real_Numbers
gptkbp:generalizes gptkb:Norm
Modulus (Complex Numbers)
https://www.w3.org/2000/01/rdf-schema#label Absolute Value
gptkbp:inventedBy Ancient Greek Mathematicians
gptkbp:property |-x| = |x|
|x+y| <= |x| + |y|
|x-y| >= ||x| - |y||
|xy| = |x|*|y|
|x| = 0 if and only if x = 0
|x| >= 0 for all x
gptkbp:symbol |x|
gptkbp:usedIn Inequalities
Norms
Complex Numbers
Distance Calculation
gptkbp:bfsParent gptkb:Akrobatik
gptkbp:bfsLayer 7