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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.".
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- Dedekind_number hasPhotoCollection Dedekind_number.
- 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 Abstraction100002137.
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- Dedekind_number type Group100031264.
- Dedekind_number type Organization108008335.
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- 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 label "Número de Dedekind".
- Dedekind_number sameAs Número_de_Dedekind.
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- Dedekind_number sameAs Q5249753.
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