Statements (46)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical theorem
|
| gptkbp:associated_with |
measure theory
|
| gptkbp:can_be |
Fourier series
|
| gptkbp:countermeasures |
the differentiability of continuous functions
|
| gptkbp:description |
a continuous function that is nowhere differentiable
|
| gptkbp:expansion |
higher dimensions
|
| gptkbp:has_a |
self-similarity
|
| gptkbp:has_a_focus_on |
mathematicians
|
| gptkbp:hasPrograms |
computer graphics
|
| https://www.w3.org/2000/01/rdf-schema#label |
Takagi's theorem
|
| gptkbp:influenced |
the development of chaos theory
|
| gptkbp:is_a |
true
a continuous but nowhere differentiable function a continuous function with a complex structure a function with a fractal dimension a pathological function fractal function |
| gptkbp:is_a_subject_of |
academic papers
mathematical analysis mathematical research fractal analysis the study of mathematical functions the study of non-differentiable functions |
| gptkbp:is_a_venue_for |
the theory of functions
|
| gptkbp:is_accessible_by |
true
|
| gptkbp:is_available_in |
a sawtooth curve
|
| gptkbp:is_essential_for |
the history of mathematics
the study of functions a function that challenges traditional calculus |
| gptkbp:is_featured_in |
the concept of continuity
|
| gptkbp:is_part_of |
the curriculum in advanced mathematics
|
| gptkbp:is_recognized_for |
the interval [0, 1]
|
| gptkbp:is_studied_in |
real analysis
differentiability |
| gptkbp:is_used_in |
analysis
mathematical literature mathematical textbooks mathematical demonstrations other fractal functions |
| gptkbp:notableEvent |
a continuous function with fractal properties
|
| gptkbp:previousName |
gptkb:Takeo_Takagi
gptkb:Takagi_function |
| gptkbp:publishedBy |
1901
|
| gptkbp:related_to |
gptkb:Weierstrass_function
fractal geometry |
| gptkbp:was_a_result_of |
constructive mathematics
|