Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Takagi_function
|
| gptkbp:category |
mathematical analysis
real analysis |
| gptkbp:definedIn |
real numbers
|
| gptkbp:example |
Weierstrass-type function
fractal function |
| gptkbp:field |
gptkb:mathematics
analysis |
| gptkbp:form |
T(x) = \\sum_{n=0}^{\\infty} \\frac{1}{2^n} \\phi(2^n x)
|
| gptkbp:hasProperty |
self-similar
nowhere monotonic |
| https://www.w3.org/2000/01/rdf-schema#label |
Takagi–Landsberg function
|
| gptkbp:introduced |
gptkb:Teiji_Takagi
gptkb:Georg_Landsberg |
| gptkbp:introducedIn |
1903
|
| gptkbp:location |
\\phi(x) = distance from x to nearest integer
|
| gptkbp:namedAfter |
gptkb:Teiji_Takagi
gptkb:Georg_Landsberg |
| gptkbp:property |
continuous
nowhere differentiable |
| gptkbp:bfsParent |
gptkb:Takagi_function
|
| gptkbp:bfsLayer |
7
|