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Pythagorean triples. I. Classification and systematization
http://hdl.handle.net/10083/35238
http://hdl.handle.net/10083/35238c82909ef-42f9-4e7c-8fdd-3fa9320e8534
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
59-2p.1-14.pdf (18.1 MB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2009-10-23 | |||||
| タイトル | ||||||
| タイトル | Pythagorean triples. I. Classification and systematization | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | departmental bulletin paper | |||||
| 著者 |
Hosoya, haruo
× Hosoya, haruo |
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| 作成者(ヨミ) | ||||||
| 識別子Scheme | WEKO | |||||
| 識別子 | 70997 | |||||
| 姓名 | ホソヤ, ハルオ | |||||
| 内容記述 | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | A Pythagorean triple (PT) composed of a pair of legs, a and b, and hypotenuse, c, is trebly classified and registered by using three differences (Δ, δ, d) among (a b c). Recursive relations among the members of the same group thus classified are extensively studied. These recursive properties are found to be related to the Hall's matrices, U, A, and D, by the operator technique which has been proposed by the present author in 1983. The complicated mathematical structure of PT's under U, A, and D can be greatly simplified by using U^<1/n> and D^<1/n>, which were found to have simple analytical expressions. Further, a number of newly found interesting mathematical properties of PT's are introduced. | |||||
| 書誌情報 |
お茶の水女子大學自然科學報告 巻 59, 号 2, p. 1-14, 発行日 2009-02-27 |
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| 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 | ||||||
| 値 | 18121362 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 | ||||||
| 値 | 紀要論文 | |||||
| 資源タイプ・NII | ||||||
| 値 | Departmental Bulletin Paper | |||||
| 資源タイプ・DCMI | ||||||
| 値 | text | |||||
| 資源タイプ・ローカル表示コード | ||||||
| 値 | 03 | |||||
