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Bell number

In combinatorial mathematics, the Bell numbers count the possible partitions of a set. These numbers have been studied by mathematicians since the 19th century, and their roots go back to medieval Japan. In an example of Stigler's law of eponymy, they are named after Eric Temple Bell, who wrote about them in the 1930s.

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Overview

Counting

Triangle scheme for calculations

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History

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Map overview Semantic statistics

Bell number

Nodes69
Edges68
Triples108
Avg. degree1.97
Density0.028986
Components1

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Bell number

Top relations

related to Rhyme schemes · 19
Bell number → AAAA, AAAB, AABA, AABB, AABC, ABAA, ABAB, ABAC, ABBA, ABBB, ABBC, ABCA, ABCB, ABCC, ABCD, Rhyme, Roman, The Bell, Thus
related to Permutations · 15
Bell number → Bell, Bn, Bn/nn, For, Gardner, However, If, In, Of, Related, Stanley, The, The Bell, Thus, Wilf
related to External links · 13
Bell number → Archived, Bell, Bell-Numbers, Diagrams, Eric, Further, Generalization, Gottfried Helms, MathWorld, PDF, Retrieved, Robert Dickau, Weisstein
related to history · 13
Bell number → B5, Becker, Bell, Bn, Dobiński, Dobiński's, Eric Temple Bell, Genji, Japan, Riordan, The, The Bell, The Tale
related to Triangle scheme for calculations · 11
Bell number → Aitken's, Alexander Aitken, Bell, Charles Sanders Peirce, Determine, Peirce, Put, Repeat, Start, The, The Bell
related to Bell primes · 7
Bell number → A051130, B2841, Bell, Gardner, OEIS, The, These
related to Moments of probability distributions · 7
Bell number → Bn, Dobiński's, It, Poisson, Taylor, The Bell, This
related to Set partitions · 6
Bell number → As, Bell, For, In, It, This
related to Growth rate · 4
Bell number → Bell, In Berend, Several, Tassa
related to Summation formulas · 4
Bell number → Bk, It, The Bell, There

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Important terminology

bell numbers displaystyle set number partition different also one first function partitions permutations formula exactly rhyme sequence exponential generating schemes

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Bell numberrelated to Bell primesGardner0.60section
Bell numberrelated to Bell primesBell0.60section
Bell numberrelated to Bell primesThese0.60section
Bell numberrelated to Bell primesThe0.60section
Bell numberrelated to Bell primesA0511300.60section
Bell numberrelated to Bell primesOEIS0.60section
Bell numberrelated to Bell primesB28410.60section
Bell numberrelated to External linksRobert Dickau0.60section
Bell numberrelated to External linksDiagrams0.60section
Bell numberrelated to External linksBell0.60section
Bell numberrelated to External linksArchived0.60section
Bell numberrelated to External linksRetrieved0.60section

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