Statements (58)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:concept
|
| gptkbp:appearsIn |
the study of partitions
|
| gptkbp:can_be |
exponential generating functions
|
| gptkbp:canLeadTo |
dynamic programming
graph theory binomial coefficients iterative methods combinatorial coefficients the analysis of combinatorial proofs the study of partitions of integers |
| gptkbp:evaluates |
sum_of_products_of_Stirling_numbers
|
| gptkbp:hasRelatedPatent |
computer science
set theory |
| gptkbp:hasSpecialty |
symmetry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Bell polynomials
|
| gptkbp:isCitedBy |
Bell's_recurrence_relation
|
| gptkbp:isConnectedTo |
the theory of generating functions
exponential series |
| gptkbp:isFoundIn |
the literature of combinatorial mathematics
combinatorial_enumeration the_study_of_algebraic_structures |
| gptkbp:isImportantFor |
the field of discrete mathematics
the study of mathematical induction the study of symmetric functions |
| gptkbp:isIntegratedWith |
recursive formulas
Stirling_numbers |
| gptkbp:isMaintainedBy |
Bell's_polynomial_generating_function
|
| gptkbp:isRelatedTo |
the theory of partitions
multinomial coefficients exponential sums the theory of partitions of sets Fubini_numbers |
| gptkbp:isUsedBy |
count partitions of sets
|
| gptkbp:isUsedFor |
analyze algorithms
the theory of random walks the theory of combinatorial games count the number of ways to distribute indistinguishable objects a sum over partitions model combinatorial problems partition diagrams solve recurrence relations the theory of generating functions. a_polynomial_in_Bell_numbers |
| gptkbp:isUsedIn |
probability theory
statistical mechanics the study of combinatorial identities the study of mathematical logic the analysis of combinatorial algorithms the analysis of combinatorial structures algebraic_combinatorics |
| gptkbp:mayHave |
combinatorial identities
|
| gptkbp:namedAfter |
gptkb:Eric_Temple_Bell
|
| gptkbp:relatedTo |
Bell_numbers
|
| gptkbp:stadium |
Eric_Temple_Bell's_work
|
| gptkbp:standardFeatures |
Stirling_numbers_of_the_second_kind
|
| gptkbp:symbolizes |
B(n,k)
|
| gptkbp:usedIn |
combinatorics
|
| gptkbp:userCountries |
the number of ways to partition a set
|