Statements (54)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:Set
|
| gptkbp:analyzes |
gptkb:Graphics_Processing_Unit
various colors and patterns color-coded images |
| gptkbp:can_be_parameterized_by |
a complex number
|
| gptkbp:can_create |
gptkb:tools
|
| gptkbp:concept |
complex analysis
|
| gptkbp:depicts |
complex behavior in systems
|
| gptkbp:exhibits |
chaotic behavior
various shapes |
| gptkbp:has_applications_in |
computer art
|
| gptkbp:has_produced |
different functions
iterating a complex quadratic polynomial iterating functions of the form f(z) = z^2 + c various iterative processes |
| gptkbp:has_property |
self-similarity
|
| https://www.w3.org/2000/01/rdf-schema#label |
Julia set
|
| gptkbp:is_a_mathematical_construct_that |
has infinite detail.
|
| gptkbp:is_a_mathematical_object_that |
exhibits intricate patterns
|
| gptkbp:is_a_subject_of |
theoretical mathematics
fractals and chaos |
| gptkbp:is_analyzed_in |
fixed points
its stability |
| gptkbp:is_associated_with |
non-linear dynamics
|
| gptkbp:is_characterized_by |
its boundary
|
| gptkbp:is_defined_by |
a complex function
|
| gptkbp:is_explored_in |
interactive applications
iterative methods mathematical software mathematical simulations |
| gptkbp:is_fundamental_to |
fractal theory
|
| gptkbp:is_often_compared_to |
the Mandelbrot set
|
| gptkbp:is_often_discussed_in |
mathematical literature
|
| gptkbp:is_often_featured_in |
artistic representations
|
| gptkbp:is_often_used_in |
educational contexts
|
| gptkbp:is_often_visualized_with |
color gradients
|
| gptkbp:is_part_of |
the study of fractals
|
| gptkbp:is_related_to |
gptkb:Mandelbrot_set
chaos theory complex dynamics |
| gptkbp:is_represented_in |
2 D and 3 D visualizations
a set of points in the complex plane |
| gptkbp:is_studied_in |
gptkb:Mathematics
dynamical systems |
| gptkbp:is_used_in |
mathematical analysis
fractal geometry |
| gptkbp:key_concept |
the field of mathematics
|
| gptkbp:named_after |
gptkb:Gaston_Julia
|
| gptkbp:scientific_classification |
connected and disconnected sets
the value of c |
| gptkbp:type_of |
gptkb:Fraggle
|
| gptkbp:was_a_demonstration_of |
the concept of infinity
|
| gptkbp:bfsParent |
gptkb:Mandelbrot_set
|
| gptkbp:bfsLayer |
6
|