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- Bijective_numeration abstract "Bijective numeration is any numeral system in which every non-negative integer can be represented in exactly one way using a finite string of digits. The name derives from this bijection (one-to-one correspondence) between the set of non-negative integers and the set of finite strings using a finite set of symbols (the "digits").Most ordinary numeral systems, such as the common decimal system, are not bijective because more than one string of digits can represent the same positive integer. In particular, adding leading zeroes does not change the value represented, so "1", "01" and "001" all represent the number one. Even though only the first is usual, the fact that the others are possible means that decimal is not bijective. However, unary, with only one digit, is bijective.A bijective base-k numeration is a bijective positional notation. It uses a string of digits from the set {1, 2, ..., k} (where k ≥ 1) to encode each positive integer; a digit's position in the string defines its value as a multiple of a power of k. Smullyan (1961) calls this notation k-adic, but it should not be confused with the p-adic numbers: bijective numerals are a system for representing ordinary integers by finite strings of nonzero digits, whereas the p-adic numbers are a system of mathematical values that contain the integers as a subset and may need infinite sequences of digits in any numerical representation.".
- Bijective_numeration wikiPageExternalLink rrf01.ps.
- Bijective_numeration wikiPageExternalLink books?id=O4wZLfMnd74C&pg=PA34.
- Bijective_numeration wikiPageID "2260933".
- Bijective_numeration wikiPageLength "13847".
- Bijective_numeration wikiPageOutDegree "36".
- Bijective_numeration wikiPageRevisionID "679869766".
- Bijective_numeration wikiPageWikiLink 0_(number).
- Bijective_numeration wikiPageWikiLink 10_(number).
- Bijective_numeration wikiPageWikiLink 1_(number).
- Bijective_numeration wikiPageWikiLink 26_(number).
- Bijective_numeration wikiPageWikiLink Addition.
- Bijective_numeration wikiPageWikiLink Bijection.
- Bijective_numeration wikiPageWikiLink Category:Non-standard_positional_numeral_systems.
- Bijective_numeration wikiPageWikiLink Category:Numeral_systems.
- Bijective_numeration wikiPageWikiLink Ceiling_function.
- Bijective_numeration wikiPageWikiLink Decimal.
- Bijective_numeration wikiPageWikiLink Floor_and_ceiling_functions.
- Bijective_numeration wikiPageWikiLink Gödel_numbering.
- Bijective_numeration wikiPageWikiLink Integer.
- Bijective_numeration wikiPageWikiLink Leading_zero.
- Bijective_numeration wikiPageWikiLink Logarithm.
- Bijective_numeration wikiPageWikiLink Mathematical_folklore.
- Bijective_numeration wikiPageWikiLink Mathematics_Magazine.
- Bijective_numeration wikiPageWikiLink Microsoft_Excel.
- Bijective_numeration wikiPageWikiLink Multiplication.
- Bijective_numeration wikiPageWikiLink Natural_number.
- Bijective_numeration wikiPageWikiLink Numeral_system.
- Bijective_numeration wikiPageWikiLink P-adic_number.
- Bijective_numeration wikiPageWikiLink Positional_notation.
- Bijective_numeration wikiPageWikiLink Positive_integer.
- Bijective_numeration wikiPageWikiLink P′′.
- Bijective_numeration wikiPageWikiLink Radix.
- Bijective_numeration wikiPageWikiLink Shortlex_order.
- Bijective_numeration wikiPageWikiLink Spreadsheet.
- Bijective_numeration wikiPageWikiLink The_Art_of_Computer_Programming.
- Bijective_numeration wikiPageWikiLink Unary_numeral_system.
- Bijective_numeration wikiPageWikiLink Variable_star_designation.
- Bijective_numeration wikiPageWikiLinkText "''k''-adic notation".
- Bijective_numeration wikiPageWikiLinkText "Bijective base-10".
- Bijective_numeration wikiPageWikiLinkText "Bijective numeration".
- Bijective_numeration wikiPageWikiLinkText "Bijective numeration#The bijective base-10 system".
- Bijective_numeration wikiPageWikiLinkText "bijective base-''K'' numeral system".
- Bijective_numeration wikiPageWikiLinkText "bijective base-n".
- Bijective_numeration wikiPageWikiLinkText "bijective numeral system".
- Bijective_numeration wikiPageWikiLinkText "bijective numeration".
- Bijective_numeration wikiPageWikiLinkText "bijective".
- Bijective_numeration hasPhotoCollection Bijective_numeration.
- Bijective_numeration wikiPageUsesTemplate Template:Citation.
- Bijective_numeration wikiPageUsesTemplate Template:Cn.
- Bijective_numeration wikiPageUsesTemplate Template:Harvtxt.
- Bijective_numeration wikiPageUsesTemplate Template:Numeral_systems.
- Bijective_numeration wikiPageUsesTemplate Template:Reflist.
- Bijective_numeration wikiPageUsesTemplate Template:Sfnp.
- Bijective_numeration subject Category:Non-standard_positional_numeral_systems.
- Bijective_numeration subject Category:Numeral_systems.
- Bijective_numeration type Article.
- Bijective_numeration type Article.
- Bijective_numeration type Encoding.
- Bijective_numeration comment "Bijective numeration is any numeral system in which every non-negative integer can be represented in exactly one way using a finite string of digits. The name derives from this bijection (one-to-one correspondence) between the set of non-negative integers and the set of finite strings using a finite set of symbols (the "digits").Most ordinary numeral systems, such as the common decimal system, are not bijective because more than one string of digits can represent the same positive integer.".
- Bijective_numeration label "Bijective numeration".
- Bijective_numeration sameAs Système_de_numération_bijectif.
- Bijective_numeration sameAs 전단사_기수법.
- Bijective_numeration sameAs m.06_0yt.
- Bijective_numeration sameAs Q3509335.
- Bijective_numeration sameAs Q3509335.
- Bijective_numeration wasDerivedFrom Bijective_numeration?oldid=679869766.
- Bijective_numeration isPrimaryTopicOf Bijective_numeration.