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  1. 紀要
  2. お茶の水女子大學自然科學報告
  3. 58(1)

Continuant, caterpillar, and topological index Z. Fastest algorithm for degrading a continued fraction

http://hdl.handle.net/10083/35234
http://hdl.handle.net/10083/35234
678bddbe-5aba-4970-a820-513373ddf954
名前 / ファイル ライセンス アクション
58-1p.15-28.pdf 58-1p.15-28.pdf (698.9 kB)
Item type 紀要論文 / Departmental Bulletin Paper(1)
公開日 2009-10-22
タイトル
タイトル Continuant, caterpillar, and topological index Z. Fastest algorithm for degrading a continued fraction
言語
言語 eng
資源タイプ
資源 http://purl.org/coar/resource_type/c_6501
タイプ departmental bulletin paper
著者 Hosoya, Haruo

× Hosoya, Haruo

WEKO 70938

Hosoya, Haruo

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著者(ヨミ)
識別子 70939
識別子Scheme WEKO
姓名 ホソヤ, ハルオ
内容記述
内容記述タイプ Other
内容記述 Manipulation of continued fraction, either finite and infinite, was shown to be greatly simplified and systematized by introducing the topological index Z and caterpillar graph. The continuant which was introduced by Euler in 18 century for solving continued fraction problems was shown to be identical to the Z-index of the caterpillar graph derived from the continued fraction concerned. Then the fastest algorithm for solving the Pell equations was obtained. Further, graph-theoretical interpretation for Fibonacci and Lucas numbers, and generalized Fibonacci numbers was obtained.
書誌情報 お茶の水女子大學自然科學報告

巻 58, 号 1, p. 15-28, 発行日 2007-09
ISSN
収録物識別子タイプ ISSN
収録物識別子 00298190
書誌レコードID
収録物識別子タイプ NCID
収録物識別子 AN00033958
フォーマット
内容記述タイプ Other
内容記述 application/pdf
形態
698869 bytes
著者版フラグ
値 publisher
日本十進分類法
主題Scheme NDC
主題 400
出版者
出版者 お茶の水女子大学
資源タイプ
内容記述タイプ Other
内容記述 紀要論文
資源タイプ・ローカル
紀要論文
資源タイプ・NII
Departmental Bulletin Paper
資源タイプ・DCMI
text
資源タイプ・ローカル表示コード
03
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