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- Bell_number abstract "In combinatorial mathematics, the Bell numbers count the number of partitions of a set. These numbers have been studied by mathematicians since the 19th century, and their roots go back to medieval Japan, but they are named after Eric Temple Bell, who wrote about them in the 1930s.Starting with B0 = B1 = 1, the first few Bell numbers are:1, 1, 2, 5, 15, 52, 203, 877, 4140, 21147, 115975, 678570, 4213597, 27644437, 190899322, 1382958545, 10480142147, 82864869804, 682076806159, 5832742205057, ... (sequence A000110 in OEIS).The nth of these numbers, Bn, counts the number of different ways to partition a set that has exactly n elements, or equivalently, the number of equivalence relations on it. Outside of mathematics, the same number also counts the number of different rhyme schemes for n-line poems.As well as appearing in counting problems, these numbers have a different interpretation, as moments of probability distributions. In particular, Bn is the nth moment of a Poisson distribution with mean 1.".
- Bell_number thumbnail Bell_numbers_subset_partial_order.svg?width=300.
- Bell_number wikiPageExternalLink book.pdf.
- Bell_number wikiPageExternalLink 04_5_SummingBellStirling.pdf.
- Bell_number wikiPageExternalLink bell.html.
- Bell_number wikiPageExternalLink 0008_0013.pdf.
- Bell_number wikiPageExternalLink spivey25.pdf.
- Bell_number wikiPageExternalLink bell.ps.
- Bell_number wikiPageExternalLink ch-11.pdf.
- Bell_number wikiPageExternalLink 52955.
- Bell_number wikiPageID "201022".
- Bell_number wikiPageLength "28676".
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- Bell_number wikiPageWikiLink 15_(number).
- Bell_number wikiPageWikiLink 1_(number).
- Bell_number wikiPageWikiLink 203_(number).
- Bell_number wikiPageWikiLink 2_(number).
- Bell_number wikiPageWikiLink 52_(number).
- Bell_number wikiPageWikiLink 5_(number).
- Bell_number wikiPageWikiLink Alexander_Aitken.
- Bell_number wikiPageWikiLink American_Journal_of_Mathematics.
- Bell_number wikiPageWikiLink American_Mathematical_Monthly.
- Bell_number wikiPageWikiLink Analytic_combinatorics.
- Bell_number wikiPageWikiLink Asymptotic_analysis.
- Bell_number wikiPageWikiLink Bell_polynomials.
- Bell_number wikiPageWikiLink Bell_triangle.
- Bell_number wikiPageWikiLink Binomial_coefficient.
- Bell_number wikiPageWikiLink Category:Integer_sequences.
- Bell_number wikiPageWikiLink Cauchys_integral_formula.
- Bell_number wikiPageWikiLink Charles_Sanders_Peirce.
- Bell_number wikiPageWikiLink Combinatorial_class.
- Bell_number wikiPageWikiLink Combinatorics.
- Bell_number wikiPageWikiLink Cumulant.
- Bell_number wikiPageWikiLink Differential_equation.
- Bell_number wikiPageWikiLink Dobinskis_formula.
- Bell_number wikiPageWikiLink Edinburgh_Mathematical_Notes.
- Bell_number wikiPageWikiLink Elliptic_curve_primality.
- Bell_number wikiPageWikiLink Empty_set.
- Bell_number wikiPageWikiLink Equivalence_relation.
- Bell_number wikiPageWikiLink Eric_Temple_Bell.
- Bell_number wikiPageWikiLink Eric_W._Weisstein.
- Bell_number wikiPageWikiLink Expected_value.
- Bell_number wikiPageWikiLink Factorization.
- Bell_number wikiPageWikiLink File:Bell_numbers_subset_partial_order.svg.
- Bell_number wikiPageWikiLink Generating_function.
- Bell_number wikiPageWikiLink Journal_of_Combinatorial_Theory.
- Bell_number wikiPageWikiLink Lambert_W_function.
- Bell_number wikiPageWikiLink Logarithmically_concave_sequence.
- Bell_number wikiPageWikiLink Mathematics_of_Computation.
- Bell_number wikiPageWikiLink Mean.
- Bell_number wikiPageWikiLink Method_of_steepest_descent.
- Bell_number wikiPageWikiLink Moment_(mathematics).
- Bell_number wikiPageWikiLink Multiplicative_partition.
- Bell_number wikiPageWikiLink Ordered_Bell_number.
- Bell_number wikiPageWikiLink Partition_of_a_set.
- Bell_number wikiPageWikiLink Permutation.
- Bell_number wikiPageWikiLink Permutation_pattern.
- Bell_number wikiPageWikiLink Phil_Carmody.
- Bell_number wikiPageWikiLink Poetry.
- Bell_number wikiPageWikiLink Poisson_distribution.
- Bell_number wikiPageWikiLink Prime_number.
- Bell_number wikiPageWikiLink Probability_distribution.
- Bell_number wikiPageWikiLink Probable_prime.
- Bell_number wikiPageWikiLink Recurrence_relation.
- Bell_number wikiPageWikiLink Rhyme_scheme.
- Bell_number wikiPageWikiLink Scientific_American.
- Bell_number wikiPageWikiLink Shuffling.
- Bell_number wikiPageWikiLink Square-free_integer.
- Bell_number wikiPageWikiLink Srinivasa_Ramanujan.
- Bell_number wikiPageWikiLink Stanley–Wilf_conjecture.
- Bell_number wikiPageWikiLink Stanza.
- Bell_number wikiPageWikiLink Stirling_numbers_of_the_second_kind.
- Bell_number wikiPageWikiLink Taylor_series.
- Bell_number wikiPageWikiLink The_Tale_of_Genji.
- Bell_number wikiPageWikiLink Touchard_polynomials.
- Bell_number wikiPageWikiLink Touchards_congruence.
- Bell_number wikiPageWikiLink Urn_problem.
- Bell_number wikiPageWikiLink Vacuous_truth.
- Bell_number wikiPageWikiLink Weak_ordering.
- Bell_number wikiPageWikiLink File:BellNumberAnimated.gif.
- Bell_number wikiPageWikiLink File:Set_partitions_5;_circles.svg.
- Bell_number wikiPageWikiLinkText "Bell number".
- Bell_number wikiPageWikiLinkText "The Bells".
- Bell_number wikiPageWikiLinkText "all partitions of a set".
- Bell_number wikiPageWikiLinkText "cumulants of the sequence of Bell numbers are equal to 1".
- Bell_number wikiPageWikiLinkText "expression".
- Bell_number id "p/b110240".
- Bell_number title "Bell Number".
- Bell_number title "Bell numbers".
- Bell_number urlname "BellNumber".
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