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Envelopes of Legendre Curves in the Unit Tangent Bundle over the Euclidean Plane
http://hdl.handle.net/10258/00009214
http://hdl.handle.net/10258/00009214fd40aaf8-4597-4c34-9d80-c87743ac4926
名前 / ファイル | ライセンス | アクション |
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RM_71_3-4_1473-1489 (360.5 kB)
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Item type | 学術雑誌論文 / Journal Article.(1) | |||||||||||
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公開日 | 2017-07-13 | |||||||||||
タイトル | ||||||||||||
言語 | en | |||||||||||
タイトル | Envelopes of Legendre Curves in the Unit Tangent Bundle over the Euclidean Plane | |||||||||||
言語 | ||||||||||||
言語 | eng | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Envelope | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | one-parameter family of Legendre curves | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Legendre curve | |||||||||||
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 | journal article | |||||||||||
アクセス権 | ||||||||||||
アクセス権 | open access | |||||||||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||||
著者 |
高橋, 雅朋
× 高橋, 雅朋
WEKO
21184
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室蘭工業大学研究者データベースへのリンク | ||||||||||||
高橋 雅朋(TAKAHASHI Masatomo) | ||||||||||||
http://rdsoran.muroran-it.ac.jp/html/100000191_ja.html | ||||||||||||
抄録 | ||||||||||||
内容記述タイプ | Abstract | |||||||||||
内容記述 | For singular plane curves, the classical definitions of envelopes are vague. In order to define envelopes for singular plane curves, we introduce a one-parameter family of Legendre curves in the unit tangent bundle over the Euclidean plane and the curvature. Then we give a definition of an envelope for the one-parameter family of Legendre curves. We investigate properties of the envelopes. For instance, the envelope is also a Legendre curve. Moreover, we consider bi-Legendre curves and give a relationship between envelopes. | |||||||||||
言語 | en | |||||||||||
書誌情報 |
en : Results in Mathematics 巻 71, 号 3-4, p. 1473-1489, 発行日 2017-06 |
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出版者 | ||||||||||||
言語 | en | |||||||||||
出版者 | springer | |||||||||||
出版者版へのリンク | ||||||||||||
10.1007/s00025-016-0619-7 | ||||||||||||
https://doi.org/10.1007/s00025-016-0619-7 | ||||||||||||
DOI | ||||||||||||
関連タイプ | isVersionOf | |||||||||||
識別子タイプ | DOI | |||||||||||
関連識別子 | 10.1007/s00025-016-0619-7 | |||||||||||
日本十進分類法 | ||||||||||||
主題Scheme | NDC | |||||||||||
主題 | 414 | |||||||||||
ISSN | ||||||||||||
収録物識別子タイプ | PISSN | |||||||||||
収録物識別子 | 1422-6383 | |||||||||||
ISSN | ||||||||||||
収録物識別子タイプ | EISSN | |||||||||||
収録物識別子 | 1420-9012 | |||||||||||
書誌レコードID | ||||||||||||
収録物識別子タイプ | NCID | |||||||||||
収録物識別子 | AA12502442 | |||||||||||
権利 | ||||||||||||
言語 | en | |||||||||||
権利情報 | © Springer International Publishing 2016. The final publication is available at Springer via http://dx.doi.org/10.1007/s00025-016-0619-7 | |||||||||||
著者版フラグ | ||||||||||||
出版タイプ | AM | |||||||||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||||||||
フォーマット | ||||||||||||
内容記述タイプ | Other | |||||||||||
内容記述 | application/pdf |