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- Factorial_number_system abstract "In combinatorics, the factorial number system, also called factoradic, is a mixed radix numeral system adapted to numbering permutations. It is also called factorial base, although factorials do not function as base, but as place value of digits. By converting a number less than n! to factorial representation, one obtains a sequence of n digits that can be converted to a permutation of n in a straightforward way, either using them as Lehmer code or as inversion table representation; in theformer case the resulting map from integers to permutations of n lists them in lexicographical order. General mixed radix systems were studied by Georg Cantor.The term \"factorial number system\" is used by Knuth,while the French equivalent \"numération factorielle\" was first used in 1888. The term \"factoradic\", which is a portmanteau of factorial and mixed radix, appears to be of more recent date.".
- Factorial_number_system thumbnail Symmetric_group_4;_permutohedron;_permutations_and_inversion_vectors.svg?width=300.
- Factorial_number_system wikiPageExternalLink dm040203.pdf.
- Factorial_number_system wikiPageExternalLink fxtbook.
- Factorial_number_system wikiPageExternalLink BSMF_1888__16__176_0.pdf.
- Factorial_number_system wikiPageExternalLink 1000px-Symmetric_group_4%3B_permutohedron%3B_permutations_and_inversion_vectors.svg.png.
- Factorial_number_system wikiPageExternalLink k1lehm.html.
- Factorial_number_system wikiPageID "1113108".
- Factorial_number_system wikiPageLength "19181".
- Factorial_number_system wikiPageOutDegree "40".
- Factorial_number_system wikiPageRevisionID "707607077".
- Factorial_number_system wikiPageWikiLink 0.999....
- Factorial_number_system wikiPageWikiLink Arabic_numerals.
- Factorial_number_system wikiPageWikiLink Category:Combinatorics.
- Factorial_number_system wikiPageWikiLink Category:Factorial_and_binomial_topics.
- Factorial_number_system wikiPageWikiLink Category:Non-standard_positional_numeral_systems.
- Factorial_number_system wikiPageWikiLink Combinatorial_number_system.
- Factorial_number_system wikiPageWikiLink Combinatorics.
- Factorial_number_system wikiPageWikiLink Concatenation.
- Factorial_number_system wikiPageWikiLink Decimal.
- Factorial_number_system wikiPageWikiLink Direct_product_of_groups.
- Factorial_number_system wikiPageWikiLink Donald_Knuth.
- Factorial_number_system wikiPageWikiLink Factorial.
- Factorial_number_system wikiPageWikiLink Function_(mathematics).
- Factorial_number_system wikiPageWikiLink Georg_Cantor.
- Factorial_number_system wikiPageWikiLink Gray_code.
- Factorial_number_system wikiPageWikiLink Integer.
- Factorial_number_system wikiPageWikiLink Inversion_(discrete_mathematics).
- Factorial_number_system wikiPageWikiLink Lehmer_code.
- Factorial_number_system wikiPageWikiLink Lexicographical_order.
- Factorial_number_system wikiPageWikiLink Lexicography.
- Factorial_number_system wikiPageWikiLink Mathematical_induction.
- Factorial_number_system wikiPageWikiLink Mixed_radix.
- Factorial_number_system wikiPageWikiLink Numeral_system.
- Factorial_number_system wikiPageWikiLink Permutation.
- Factorial_number_system wikiPageWikiLink Permutation_group.
- Factorial_number_system wikiPageWikiLink Portmanteau.
- Factorial_number_system wikiPageWikiLink Quotient.
- Factorial_number_system wikiPageWikiLink Steinhaus–Johnson–Trotter_algorithm.
- Factorial_number_system wikiPageWikiLink W:Parity_(mathematics).
- Factorial_number_system wikiPageWikiLink File:Symmetric_group_4;_permutation_list_with_matrices.svg.
- Factorial_number_system wikiPageWikiLink File:Symmetric_group_4;_permutohedron;_factorial_number_system.svg.
- Factorial_number_system wikiPageWikiLink File:Symmetric_group_4;_permutohedron;_permutations_and_inversion_vectors.svg.
- Factorial_number_system wikiPageWikiLinkText "Factorial number system".
- Factorial_number_system wikiPageWikiLinkText "factorial number system".
- Factorial_number_system wikiPageUsesTemplate Template:Citation.
- Factorial_number_system wikiPageUsesTemplate Template:Cite_book.
- Factorial_number_system wikiPageUsesTemplate Template:Confusing.
- Factorial_number_system wikiPageUsesTemplate Template:Numeral_systems.
- Factorial_number_system wikiPageUsesTemplate Template:OEIS.
- Factorial_number_system wikiPageUsesTemplate Template:OEIS2C.
- Factorial_number_system subject Category:Combinatorics.
- Factorial_number_system subject Category:Factorial_and_binomial_topics.
- Factorial_number_system subject Category:Non-standard_positional_numeral_systems.
- Factorial_number_system hypernym System.
- Factorial_number_system type Combinatoric.
- Factorial_number_system type Field.
- Factorial_number_system comment "In combinatorics, the factorial number system, also called factoradic, is a mixed radix numeral system adapted to numbering permutations. It is also called factorial base, although factorials do not function as base, but as place value of digits.".
- Factorial_number_system label "Factorial number system".
- Factorial_number_system sameAs Q995700.
- Factorial_number_system sameAs Fakultätsbasiertes_Zahlensystem.
- Factorial_number_system sameAs Factorádico.
- Factorial_number_system sameAs Faktoriális_számrendszer.
- Factorial_number_system sameAs Faktoradik.
- Factorial_number_system sameAs Faculteitssysteem.
- Factorial_number_system sameAs Silniowy_system_pozycyjny.
- Factorial_number_system sameAs m.0473g8.
- Factorial_number_system sameAs Q995700.
- Factorial_number_system wasDerivedFrom Factorial_number_system?oldid=707607077.
- Factorial_number_system depiction Symmetric_group_4;_permutohedron;_permutations_and_inversion_vectors.svg.
- Factorial_number_system isPrimaryTopicOf Factorial_number_system.