Absolute Value Function

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf Mathematical Function
gptkbp:alsoKnownAs Modulus Function
gptkbp:codomain Non-negative Real Numbers
gptkbp:continuity everywhere
gptkbp:defines |x| = -x if x < 0
|x| = x if x >= 0
gptkbp:differentiable everywhere except x=0
gptkbp:domain gptkb:Real_Numbers
gptkbp:fixedPoint 0
gptkbp:generalizes gptkb:Norm
https://www.w3.org/2000/01/rdf-schema#label Absolute Value Function
gptkbp:isEvenFunction true
gptkbp:minimumPressure 0
gptkbp:notation |x|
gptkbp:range [0, ∞)
gptkbp:shape V-shaped
gptkbp:usedIn gptkb:Signal_Processing
Optimization
Complex Numbers
Distance Calculation
Piecewise Functions
gptkbp:bfsParent gptkb:Analytic_Functions
gptkbp:bfsLayer 6