Properties (45)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical function
|
| gptkbp:hasCapital |
0 almost everywhere
|
| gptkbp:hasExhibition |
a singular function
|
| gptkbp:hasTheme |
[0, 1]
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cantor's function
|
| gptkbp:isA |
Lebesgue measurable function
singular function real-valued function continuous function step function non-decreasing function bounded function function of bounded variation function that is continuous on a closed interval function that is defined by a recursive process function that is not absolutely continuous function that is not differentiable at every point function that is related to real numbers function that is related to set theory function that is related to the concept of measure function that is related to topology non-constant function piecewise constant function function with a derivative of zero almost everywhere Borel_function function_that_is_not_Lipschitz_continuous non-linear_function |
| gptkbp:isAccessibleBy |
gptkb:Cantor_set
removing middle thirds of intervals |
| gptkbp:isAvenueFor |
a function that is continuous but not absolutely continuous
|
| gptkbp:isCitedBy |
a series of intervals
|
| gptkbp:isDescribedAs |
the interval [0, 1]
|
| gptkbp:isNamedAfter |
gptkb:Georg_Cantor
|
| gptkbp:isNear |
true
|
| gptkbp:isNotableFor |
at_points_of_the_Cantor_set
|
| gptkbp:isProminentIn |
true
|
| gptkbp:isRelatedTo |
gptkb:Cantor's_theorem
measure theory |
| gptkbp:isRepresentedIn |
a staircase-like curve
|
| gptkbp:isUsedBy |
the concept of continuity without differentiability
|
| gptkbp:isUsedIn |
real analysis
fractal geometry |
| gptkbp:previouslyKnownAs |
Cantor's_staircase_function
|
| gptkbp:route |
[0, 1] to [0, 1]
|
| gptkbp:wasAffecting |
true
|