"coorbit" meaning in All languages combined

See coorbit on Wiktionary

Noun [English]

Forms: coorbits [plural]
Etymology: From co- + orbit. Etymology templates: {{prefix|en|co|orbit}} co- + orbit Head templates: {{en-noun}} coorbit (plural coorbits)
  1. (mathematics, physics) The dual of an orbit Wikipedia link: coorbit theory Categories (topical): Mathematics, Physics Derived forms: coorbit theory

Inflected forms

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      "args": {
        "1": "en",
        "2": "co",
        "3": "orbit"
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      "expansion": "co- + orbit",
      "name": "prefix"
    }
  ],
  "etymology_text": "From co- + orbit.",
  "forms": [
    {
      "form": "coorbits",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "expansion": "coorbit (plural coorbits)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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        {
          "kind": "other",
          "name": "English entries with incorrect language header",
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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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          "kind": "topical",
          "langcode": "en",
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          "orig": "en:Physics",
          "parents": [
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            "All topics",
            "Fundamental"
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          "source": "w"
        }
      ],
      "derived": [
        {
          "word": "coorbit theory"
        }
      ],
      "examples": [
        {
          "ref": "2016, Felix Voigtlaender, “Embeddings of Decomposition Spaces into Sobolev and BV Spaces”, in arXiv:",
          "text": "As special cases, this includes embeddings into Sobolev spaces of (homogeneous and inhomogeneous) Besov spaces, (#x5C;alpha)-modulation spaces, shearlet smoothness spaces and also of a large class of wavelet coorbit spaces, in particular of shearlet-type coorbit spaces. Precisely, we will show that under extremely mild assumptions on the covering #x5C;mathcal#x7B;Q#x7D;#x3D;#x5C;left(Q#x5F;#x7B;i#x7D;#x5C;right)#x5F;#x7B;i#x5C;inI#x7D;, we have #x5C;mathcal#x7B;D#x7D;#x5C;left(#x5C;mathcal#x7B;Q#x7D;,L#x7B;p#x7D;,Y#x5C;right)#x5C;hookrightarrowW#x7B;k,q#x7D;(#x5C;mathbb#x7B;R#x7D;#x7B;d#x7D;) as soon as p#x5C;leqq and Y#x5C;hookrightarrow#x5C;ell#x5F;#x7B;u#x7B;#x5C;left(k,p,q#x5C;right)",
          "type": "quote"
        }
      ],
      "glosses": [
        "The dual of an orbit"
      ],
      "id": "en-coorbit-en-noun-szWiE0Ee",
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          "orbit",
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  ],
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        "3": "orbit"
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  ],
  "etymology_text": "From co- + orbit.",
  "forms": [
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      "tags": [
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    }
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          "ref": "2016, Felix Voigtlaender, “Embeddings of Decomposition Spaces into Sobolev and BV Spaces”, in arXiv:",
          "text": "As special cases, this includes embeddings into Sobolev spaces of (homogeneous and inhomogeneous) Besov spaces, (#x5C;alpha)-modulation spaces, shearlet smoothness spaces and also of a large class of wavelet coorbit spaces, in particular of shearlet-type coorbit spaces. Precisely, we will show that under extremely mild assumptions on the covering #x5C;mathcal#x7B;Q#x7D;#x3D;#x5C;left(Q#x5F;#x7B;i#x7D;#x5C;right)#x5F;#x7B;i#x5C;inI#x7D;, we have #x5C;mathcal#x7B;D#x7D;#x5C;left(#x5C;mathcal#x7B;Q#x7D;,L#x7B;p#x7D;,Y#x5C;right)#x5C;hookrightarrowW#x7B;k,q#x7D;(#x5C;mathbb#x7B;R#x7D;#x7B;d#x7D;) as soon as p#x5C;leqq and Y#x5C;hookrightarrow#x5C;ell#x5F;#x7B;u#x7B;#x5C;left(k,p,q#x5C;right)",
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      ],
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        "The dual of an orbit"
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      ],
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  "word": "coorbit"
}

Download raw JSONL data for coorbit meaning in All languages combined (1.9kB)

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.