gptkbp:instance_of
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gptkb:Mathematics
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gptkbp:depicts
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asymptotic analysis
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gptkbp:example
|
geometric probability
|
gptkbp:field
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number theory
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gptkbp:has_applications_in
|
combinatorial geometry
|
gptkbp:has_expansion
|
higher dimensions
|
gptkbp:has_historical_significance
|
the development of number theory
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gptkbp:has_implications_for
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theoretical computer science
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https://www.w3.org/2000/01/rdf-schema#label
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Gauss's circle problem
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gptkbp:involves
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circle area
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gptkbp:involves_counting
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points within a circle
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gptkbp:is_a
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Problem in number theory
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gptkbp:is_a_classic_problem_in
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mathematical analysis
|
gptkbp:is_a_foundational_problem_in
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the study of lattice points
|
gptkbp:is_a_problem_that_can_be_approached_with
|
geometric methods
|
gptkbp:is_a_problem_that_can_be_related_to
|
random walks
|
gptkbp:is_a_problem_that_can_be_visualized_using
|
graphical representations
|
gptkbp:is_a_problem_that_has
|
numerous applications in science
|
gptkbp:is_a_problem_that_has_been_analyzed_for
|
its computational complexity
over two centuries
|
gptkbp:is_a_problem_that_has_been_approached_from
|
various mathematical perspectives
|
gptkbp:is_a_problem_that_has_been_discussed_in
|
mathematical conferences
|
gptkbp:is_a_problem_that_has_been_explored_in
|
the context of combinatorial optimization
|
gptkbp:is_a_problem_that_has_been_featured_in
|
mathematical journals
|
gptkbp:is_a_problem_that_has_been_generalized_to_include
|
gptkb:crypt
|
gptkbp:is_a_problem_that_has_been_linked_to
|
the study of algorithms.
|
gptkbp:is_a_problem_that_has_been_solved_using
|
numerical simulations
|
gptkbp:is_a_problem_that_has_been_used_to_teach
|
concepts in geometry
|
gptkbp:is_a_problem_that_has_inspired
|
many mathematical conjectures
|
gptkbp:is_a_problem_that_leads_to
|
further research in number theory
|
gptkbp:is_a_subject_of
|
research studies
mathematical competitions
mathematicians and computer scientists
|
gptkbp:is_analyzed_in
|
Fourier analysis
|
gptkbp:is_connected_to
|
the theory of modular forms
Waring's problem
the Riemann hypothesis
|
gptkbp:is_discussed_in
|
academic papers
|
gptkbp:is_essential_for
|
algorithm design
|
gptkbp:is_explored_in
|
advanced mathematics courses
|
gptkbp:is_often_referenced_in
|
mathematical literature
|
gptkbp:is_often_solved_using
|
computational techniques
|
gptkbp:is_often_visualized_with
|
graphs and diagrams
|
gptkbp:is_related_to
|
gptkb:Gaussian_integers
the distribution of prime numbers
the geometry of numbers
the Erdős– Moser problem
the circle packing theorem
|
gptkbp:is_represented_in
|
an inequality
|
gptkbp:is_significant_for
|
computational geometry
|
gptkbp:is_solved_using
|
analytic number theory
|
gptkbp:is_studied_in
|
discrete geometry
many mathematicians
|
gptkbp:is_used_in
|
gptkb:Graphics_Processing_Unit
|
gptkbp:issues
|
lattice points
number of lattice points in a circle.
|
gptkbp:often_includes
|
mathematics curricula
|
gptkbp:originated_in
|
gptkb:Carl_Friedrich_Gauss
|
gptkbp:performance
|
numerical methods
|
gptkbp:was_first_posed_in
|
1808
|
gptkbp:was_involved_in
|
sphere packing problem
|
gptkbp:bfsParent
|
gptkb:Carl_Friedrich_Gauss
|
gptkbp:bfsLayer
|
4
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