Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
indicator function nowhere continuous function |
| gptkbp:alsoKnownAs |
gptkb:Dirichlet_function
|
| gptkbp:codomain |
{0,1}
|
| gptkbp:definedIn |
real numbers
|
| gptkbp:defines |
f(x) = 1 if x is rational, f(x) = 0 if x is irrational
|
| gptkbp:domain |
real numbers
|
| https://www.w3.org/2000/01/rdf-schema#label |
Dirichlet's function
|
| gptkbp:isDiscontinuousAt |
every real number
|
| gptkbp:isLebesgueIntegrable |
yes
|
| gptkbp:isLebesgueMeasurable |
yes
|
| gptkbp:isRiemannIntegrable |
no
|
| gptkbp:namedAfter |
gptkb:Peter_Gustav_Lejeune_Dirichlet
|
| gptkbp:usedIn |
real analysis
|
| gptkbp:bfsParent |
gptkb:Dirichlet_function
|
| gptkbp:bfsLayer |
6
|