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Hyperplane families creating envelopes
http://hdl.handle.net/10131/00014578
http://hdl.handle.net/10131/0001457804eccc9c-4be3-4a1a-a8bc-73e057f02a35
名前 / ファイル | ライセンス | アクション |
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Nishimura_2022_Nonlinearity_35_2587.pdf (1.8 MB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2022-05-16 | |||||
タイトル | ||||||
タイトル | Hyperplane families creating envelopes | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | hyperplane family, envelope, frontal, mirror-image mapping, anti-orthotomic, orthotomic, creative | |||||
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 | |||||
著者 |
Takashi, Nishimura
× Takashi, Nishimura |
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著者所属 | ||||||
Research Institute of Environment and Information Sciences, Yokohama National University | ||||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | A simple geometric mechanism: 'the locus of intersections of perpendicular bisectors and normal lines', often arises in many guises in nonlinear sciences. In this paper, a new application of this simple geometric mechanism is given. Namely, we show that this mechanism gives answers to all four basic problems on envelopes created by hyperplane families (existence problem, representation problem, equivalence problem of definitions, uniqueness problem) at once. | |||||
書誌情報 |
Nonlinearity 巻 35, p. 2587-2620, 発行日 2022-04-29 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1361-6544 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA12472330 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1088/1361-6544/ac61a0 | |||||
権利 | ||||||
権利情報 | This is the Accepted Manuscript version of an article accepted for publication in Nonlinearity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1361-6544/ac61a0 | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
出版者 | ||||||
出版者 | IOP Publishing | |||||
出版者 | ||||||
出版者 | London Mathematical Society | |||||
関係URI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1088/1361-6544/ac61a0 | |||||
関連名称 | https://doi.org/10.1088/1361-6544/ac61a0 |