Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical function
|
| gptkbp:defines |
T(x) = 1/2 T(2x) + 1/2 T(2x - 1) for x in [0, 1]
|
| gptkbp:dimensions |
2
|
| gptkbp:exhibits |
local oscillation
|
| gptkbp:has_a |
nan
|
| gptkbp:hasPrograms |
real numbers
|
| https://www.w3.org/2000/01/rdf-schema#label |
Takagi function
|
| gptkbp:introduced |
gptkb:Giuseppe_Peano
|
| gptkbp:is_a |
continuous but not differentiable function
fractal function |
| gptkbp:is_accessible_by |
nan
|
| gptkbp:is_aimed_at |
every point
|
| gptkbp:is_available_in |
a continuous curve
|
| gptkbp:is_recognized_for |
the interval [0, 1]
T(x) = sum_{n=0}^{∞} (1/2^n) * |x - (1/2^n) * round(2^n * x)| |
| gptkbp:is_studied_in |
fractal geometry
|
| gptkbp:is_used_in |
mathematics
the concept of nowhere differentiability |
| gptkbp:previousName |
Peano curve
|
| gptkbp:range |
[0, 1]
|
| gptkbp:related_to |
gptkb:Cantor_function
self-similarity |
| gptkbp:standardFeatures |
gptkb:the_Weierstrass_function
|