"coorbit" meaning in English

See coorbit in All languages combined, or Wiktionary

Noun

Forms: coorbits [plural]
Etymology: 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

Download JSON data for coorbit meaning in English (2.4kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "orbit"
      },
      "expansion": "co- + orbit",
      "name": "prefix"
    }
  ],
  "etymology_text": "co- + orbit",
  "forms": [
    {
      "form": "coorbits",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "coorbit (plural coorbits)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with co-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Physics",
          "orig": "en:Physics",
          "parents": [
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "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)(I) hold.}}",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The dual of an orbit"
      ],
      "id": "en-coorbit-en-noun-szWiE0Ee",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "physics",
          "physics"
        ],
        [
          "dual",
          "dual"
        ],
        [
          "orbit",
          "orbit"
        ]
      ],
      "raw_glosses": [
        "(mathematics, physics) The dual of an orbit"
      ],
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        "natural-sciences",
        "physical-sciences",
        "physics",
        "sciences"
      ],
      "wikipedia": [
        "coorbit theory"
      ]
    }
  ],
  "word": "coorbit"
}
{
  "derived": [
    {
      "word": "coorbit theory"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "orbit"
      },
      "expansion": "co- + orbit",
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  ],
  "etymology_text": "co- + orbit",
  "forms": [
    {
      "form": "coorbits",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "coorbit (plural coorbits)",
      "name": "en-noun"
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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        "English countable nouns",
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        "English terms prefixed with co-",
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        "en:Physics"
      ],
      "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)(I) hold.}}",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The dual of an orbit"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
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        [
          "physics",
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        ],
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          "orbit",
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        ]
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      "raw_glosses": [
        "(mathematics, physics) The dual of an orbit"
      ],
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        "physics",
        "sciences"
      ],
      "wikipedia": [
        "coorbit theory"
      ]
    }
  ],
  "word": "coorbit"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 using wiktextract (f4fd8c9 and c9440ce). 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.

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