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- Ostrowski_numeration abstract "In mathematics, Ostrowski numeration, named after Alexander Ostrowski, is either of two related numeration systems based on continued fractions: a non-standard positional numeral system for integers and a non-integer representation of real numbers.Fix a positive irrational number α with continued fraction expansion [a1,a2,...]. Let (qn) be the sequence of denominators of the convergents pn/qn to α: so qn = anqn−1 + qn−2. Let αn denote Tn(α) where T is the Gauss map T(x) = {1/x}, and write βn = (−1)n+1 α0α1 ... αn: we have βn = anβn−1 + βn−2.".
- Ostrowski_numeration wikiPageID "37842791".
- Ostrowski_numeration wikiPageLength "3369".
- Ostrowski_numeration wikiPageOutDegree "14".
- Ostrowski_numeration wikiPageRevisionID "668182935".
- Ostrowski_numeration wikiPageWikiLink Alexander_Ostrowski.
- Ostrowski_numeration wikiPageWikiLink Cambridge_University_Press.
- Ostrowski_numeration wikiPageWikiLink Category:Non-standard_positional_numeral_systems.
- Ostrowski_numeration wikiPageWikiLink Complete_sequence.
- Ostrowski_numeration wikiPageWikiLink Continued_fraction.
- Ostrowski_numeration wikiPageWikiLink Fibonacci_coding.
- Ostrowski_numeration wikiPageWikiLink Fibonacci_number.
- Ostrowski_numeration wikiPageWikiLink Fibonacci_numbers.
- Ostrowski_numeration wikiPageWikiLink Fibonacci_representation.
- Ostrowski_numeration wikiPageWikiLink Golden_ratio.
- Ostrowski_numeration wikiPageWikiLink Irrational_number.
- Ostrowski_numeration wikiPageWikiLink Non-integer_representation.
- Ostrowski_numeration wikiPageWikiLink Non-standard_positional_numeral_system.
- Ostrowski_numeration wikiPageWikiLink Non-standard_positional_numeral_systems.
- Ostrowski_numeration wikiPageWikiLink Real_number.
- Ostrowski_numeration wikiPageWikiLink Springer-Verlag.
- Ostrowski_numeration wikiPageWikiLink Springer_Science+Business_Media.
- Ostrowski_numeration wikiPageWikiLink Zeckendorfs_theorem.
- Ostrowski_numeration wikiPageWikiLinkText "Ostrowski numeration".
- Ostrowski_numeration hasPhotoCollection Ostrowski_numeration.
- Ostrowski_numeration wikiPageUsesTemplate Template:Cite_book.
- Ostrowski_numeration wikiPageUsesTemplate Template:Cite_journal.
- Ostrowski_numeration wikiPageUsesTemplate Template:Number-stub.
- Ostrowski_numeration subject Category:Non-standard_positional_numeral_systems.
- Ostrowski_numeration comment "In mathematics, Ostrowski numeration, named after Alexander Ostrowski, is either of two related numeration systems based on continued fractions: a non-standard positional numeral system for integers and a non-integer representation of real numbers.Fix a positive irrational number α with continued fraction expansion [a1,a2,...]. Let (qn) be the sequence of denominators of the convergents pn/qn to α: so qn = anqn−1 + qn−2.".
- Ostrowski_numeration label "Ostrowski numeration".
- Ostrowski_numeration sameAs m.0n_6p6_.
- Ostrowski_numeration sameAs Q7107841.
- Ostrowski_numeration sameAs Q7107841.
- Ostrowski_numeration wasDerivedFrom Ostrowski_numeration?oldid=668182935.
- Ostrowski_numeration isPrimaryTopicOf Ostrowski_numeration.