|
gptkbp:instance_of
|
gptkb:Mathematics
|
|
gptkbp:analyzes
|
gptkb:Sierpiński_carpet
|
|
gptkbp:exhibits
|
chaotic behavior
|
|
gptkbp:has_applications_in
|
gptkb:Graphics_Processing_Unit
|
|
gptkbp:has_property
|
self-similarity
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Sierpiński's function
|
|
gptkbp:illustrated_by
|
gptkb:Sierpiński_gasket
mathematical literature
visual mathematics
Sierpiński triangle construction
|
|
gptkbp:is_analyzed_in
|
real analysis
|
|
gptkbp:is_associated_with
|
Baire category theorem
|
|
gptkbp:is_atype_of
|
discontinuous function
|
|
gptkbp:is_characterized_by
|
its unique properties
non-integer dimensions
a specific recursive definition
|
|
gptkbp:is_connected_to
|
gptkb:Set
mathematical modeling
mathematical proofs
chaos theory
|
|
gptkbp:is_considered
|
complex analysis
|
|
gptkbp:is_continuous
|
false
|
|
gptkbp:is_defined_by
|
Sierpiński's triangle
|
|
gptkbp:is_described_as
|
academic papers
mathematical textbooks
recursive sequences
|
|
gptkbp:is_discontinuous
|
gptkb:true
|
|
gptkbp:is_examined_in
|
gptkb:Mathematician
dynamical systems
theoretical mathematicians
mathematical courses
|
|
gptkbp:is_explored_in
|
iterative processes
numerical methods
mathematical analysis
mathematical research
applied mathematics
|
|
gptkbp:is_noted_for
|
its complexity
its fractal nature
its irregularity
|
|
gptkbp:is_part_of
|
fractal mathematics
|
|
gptkbp:is_related_to
|
gptkb:analysis
gptkb:Cantor_set
topological spaces
functional analysis
|
|
gptkbp:is_represented_in
|
a series of iterations
|
|
gptkbp:is_studied_for
|
its properties
|
|
gptkbp:is_studied_in
|
gptkb:topology
gptkb:Mathematics
|
|
gptkbp:is_used_in
|
gptkb:analysis
fractal analysis
|
|
gptkbp:is_utilized_in
|
data analysis
algorithm design
computer simulations
|
|
gptkbp:length
|
fractal dimension
|
|
gptkbp:named_after
|
gptkb:Wacław_Sierpiński
|
|
gptkbp:related_to
|
fractal geometry
|
|
gptkbp:was_a_demonstration_of
|
gptkb:Sierpiński_sieve
properties of limits
|
|
gptkbp:bfsParent
|
gptkb:Jan_Sierpiński
|
|
gptkbp:bfsLayer
|
7
|