Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Takagi–Landsberg_function
|
| gptkbp:category |
mathematical analysis
fractal |
| gptkbp:continuity |
true
|
| gptkbp:definedIn |
gptkb:Teiji_Takagi
|
| gptkbp:domain |
real numbers
|
| gptkbp:firstDescribed |
1903
|
| gptkbp:form |
T(x) = sum_{n=0}^∞ 2^{-n} s(2^n x), where s(x) = distance from x to nearest integer
|
| gptkbp:generalizes |
gptkb:Takagi–Landsberg_function
|
| gptkbp:hasProperty |
nowhere monotonic
self-affine |
| https://www.w3.org/2000/01/rdf-schema#label |
Takagi function
|
| gptkbp:isNowhereDifferentiable |
true
|
| gptkbp:namedAfter |
gptkb:Teiji_Takagi
|
| gptkbp:range |
real numbers
|
| gptkbp:relatedTo |
gptkb:Weierstrass_function
gptkb:Blancmange_curve |
| gptkbp:shape |
continuous, fractal-like curve
|
| gptkbp:usedIn |
real analysis
fractal geometry |
| gptkbp:bfsParent |
gptkb:Weierstrass_function
gptkb:Toshihiko_Takagi |
| gptkbp:bfsLayer |
6
|