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
|