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- Dedekind_number abstract "In mathematics, the Dedekind numbers are a rapidly growing sequence of integers named after Richard Dedekind, who defined them in 1897. The Dedekind number M(n) counts the number of monotonic Boolean functions of n variables. Equivalently, it counts the number of antichains of subsets of an n-element set, the number of elements in a free distributive lattice with n generators, or the number of abstract simplicial complexes with n elements.Accurate asymptotic estimates of M(n) and an exact expression as a summation, are known. However Dedekind's problem of computing the values of M(n) remains difficult: no closed-form expression for M(n) is known, and exact values of M(n) have been found only for n ≤ 8.".
- Dedekind_number thumbnail Loupe_light.svg?width=300.
- Dedekind_number wikiPageExternalLink 1500px-Monotone_Boolean_functions_0%2C1%2C2%2C3.svg.png.
- Dedekind_number wikiPageID "21452705".
- Dedekind_number wikiPageLength "13812".
- Dedekind_number wikiPageOutDegree "57".
- Dedekind_number wikiPageRevisionID "676384491".
- Dedekind_number wikiPageWikiLink Abstract_simplicial_complex.
- Dedekind_number wikiPageWikiLink Antichain.
- Dedekind_number wikiPageWikiLink Asymptotic_expansion.
- Dedekind_number wikiPageWikiLink Birkhoffs_representation_theorem.
- Dedekind_number wikiPageWikiLink Bit.
- Dedekind_number wikiPageWikiLink Boolean_data_type.
- Dedekind_number wikiPageWikiLink Boolean_function.
- Dedekind_number wikiPageWikiLink Category:Enumerative_combinatorics.
- Dedekind_number wikiPageWikiLink Category:Integer_sequences.
- Dedekind_number wikiPageWikiLink Category:Lattice_theory.
- Dedekind_number wikiPageWikiLink Category:Mathematical_logic.
- Dedekind_number wikiPageWikiLink Category:Set_families.
- Dedekind_number wikiPageWikiLink Distributive_lattice.
- Dedekind_number wikiPageWikiLink Empty_set.
- Dedekind_number wikiPageWikiLink Floor_and_ceiling_functions.
- Dedekind_number wikiPageWikiLink Floor_function.
- Dedekind_number wikiPageWikiLink Free_distributive_lattice.
- Dedekind_number wikiPageWikiLink Garrett_Birkhoff.
- Dedekind_number wikiPageWikiLink Integer_sequence.
- Dedekind_number wikiPageWikiLink Lattice_(order).
- Dedekind_number wikiPageWikiLink Lattice_theory.
- Dedekind_number wikiPageWikiLink Logarithm.
- Dedekind_number wikiPageWikiLink Logical_conjunction.
- Dedekind_number wikiPageWikiLink Logical_disjunction.
- Dedekind_number wikiPageWikiLink Mathematics.
- Dedekind_number wikiPageWikiLink Monotone_boolean_function.
- Dedekind_number wikiPageWikiLink Monotonic.
- Dedekind_number wikiPageWikiLink Monotonic_function.
- Dedekind_number wikiPageWikiLink Order_(journal).
- Dedekind_number wikiPageWikiLink Partially_ordered_set.
- Dedekind_number wikiPageWikiLink Richard_Dedekind.
- Dedekind_number wikiPageWikiLink Sperner_family.
- Dedekind_number wikiPageWikiLink Summation.
- Dedekind_number wikiPageWikiLink File:Boolean_function_0000_0000.svg.
- Dedekind_number wikiPageWikiLink File:Boolean_function_1111_1111.svg.
- Dedekind_number wikiPageWikiLink File:Boolean_functions_like_1000_0000.svg.
- Dedekind_number wikiPageWikiLink File:Boolean_functions_like_1000_1000.svg.
- Dedekind_number wikiPageWikiLink File:Boolean_functions_like_1010_0000.svg.
- Dedekind_number wikiPageWikiLink File:Boolean_functions_like_1010_1000.svg.
- Dedekind_number wikiPageWikiLink File:Boolean_functions_like_1010_1010.svg.
- Dedekind_number wikiPageWikiLink File:Boolean_functions_like_1100_0000.svg.
- Dedekind_number wikiPageWikiLink File:Boolean_functions_like_1100_1000.svg.
- Dedekind_number wikiPageWikiLink File:Boolean_functions_like_1100_1100.svg.
- Dedekind_number wikiPageWikiLink File:Boolean_functions_like_1110_0000.svg.
- Dedekind_number wikiPageWikiLink File:Boolean_functions_like_1110_1000.svg.
- Dedekind_number wikiPageWikiLink File:Boolean_functions_like_1110_1010.svg.
- Dedekind_number wikiPageWikiLink File:Boolean_functions_like_1110_1100.svg.
- Dedekind_number wikiPageWikiLink File:Boolean_functions_like_1110_1110.svg.
- Dedekind_number wikiPageWikiLink File:Boolean_functions_like_1111_0000.svg.
- Dedekind_number wikiPageWikiLink File:Boolean_functions_like_1111_1000.svg.
- Dedekind_number wikiPageWikiLink File:Boolean_functions_like_1111_1010.svg.
- Dedekind_number wikiPageWikiLink File:Boolean_functions_like_1111_1100.svg.
- Dedekind_number wikiPageWikiLink File:Boolean_functions_like_1111_1110.svg.
- Dedekind_number wikiPageWikiLink File:Loupe_light.svg.
- Dedekind_number wikiPageWikiLinkText "Dedekind number".
- Dedekind_number hasPhotoCollection Dedekind_number.
- Dedekind_number wikiPageUsesTemplate Template:Citation.
- Dedekind_number wikiPageUsesTemplate Template:Classes_of_natural_numbers.
- Dedekind_number wikiPageUsesTemplate Template:Harvtxt.
- Dedekind_number wikiPageUsesTemplate Template:OEIS.
- Dedekind_number wikiPageUsesTemplate Template:Reflist.
- Dedekind_number subject Category:Enumerative_combinatorics.
- Dedekind_number subject Category:Integer_sequences.
- Dedekind_number subject Category:Lattice_theory.
- Dedekind_number subject Category:Mathematical_logic.
- Dedekind_number subject Category:Set_families.
- Dedekind_number type Combinatoric.
- Dedekind_number type Concept.
- Dedekind_number type Field.
- Dedekind_number type Integer.
- Dedekind_number comment "In mathematics, the Dedekind numbers are a rapidly growing sequence of integers named after Richard Dedekind, who defined them in 1897. The Dedekind number M(n) counts the number of monotonic Boolean functions of n variables.".
- Dedekind_number label "Dedekind number".
- Dedekind_number sameAs Número_de_Dedekind.
- Dedekind_number sameAs Dedekind-getal.
- Dedekind_number sameAs m.05f4049.
- Dedekind_number sameAs Q5249753.
- Dedekind_number sameAs Q5249753.
- Dedekind_number wasDerivedFrom Dedekind_number?oldid=676384491.
- Dedekind_number depiction Loupe_light.svg.
- Dedekind_number isPrimaryTopicOf Dedekind_number.
