"coordinate map" meaning in English

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      "form": "coordinate maps",
      "tags": [
        "plural"
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  "lang_code": "en",
  "pos": "noun",
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          "name": "Differential geometry",
          "orig": "en:Differential geometry",
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          "name": "Functions",
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      "examples": [
        {
          "ref": "2019 January 2, John M. Lee, Introduction to Riemannian Manifolds (Graduate Texts in Mathematics), Springer, →OCLC, page 135",
          "text": "Let (W#x5F;0,#x5C;psi) be a smooth coordinate chart for P, and let (E#x5F;1,#x5C;dots,E#x5F;#x7B;n-p#x7D;) be a local orthonormal frame for the normal bundle NP; by shrinking W#x5F;0 if necessary, we can assume that the coordinates and the local frame are defined on the same open subset W#x5F;0#x5C;subseteqP. Let #x5C;hat#x7B;W#x7D;#x5F;0#x3D;#x5C;psi(W#x5F;0)#x5C;subseteq#x5C;mathbb#x7B;R#x7D;ᵖ, and let NP#x5C;vert#x5F;#x7B;W#x5F;0#x7D; be the portion of the normal bundle over W#x5F;0. The coordinate map #x5C;psi and frame (E#x5F;j) yield a diffeomorphism #x5C;hat#x7B;W#x7D;#x5F;0#x5C;times#x5C;mathbb#x7B;R#x7D;#x7B;n-p#x7D;#x5C;rightarrowNP#x5C;vert#x5F;#x7B;W#x5F;0#x7D; defined by[…]",
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        }
      ],
      "glosses": [
        "Synonym of coordinate chart."
      ],
      "id": "en-coordinate_map-en-noun-PLvhI9oZ",
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          "differential geometry",
          "differential geometry"
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        [
          "coordinate chart",
          "coordinate chart#English"
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      "qualifier": "differential geometry",
      "raw_glosses": [
        "(differential geometry) Synonym of coordinate chart."
      ],
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          "word": "coordinate chart"
        }
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  "word": "coordinate map"
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    {
      "form": "coordinate maps",
      "tags": [
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  "lang_code": "en",
  "pos": "noun",
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          "ref": "2019 January 2, John M. Lee, Introduction to Riemannian Manifolds (Graduate Texts in Mathematics), Springer, →OCLC, page 135",
          "text": "Let (W#x5F;0,#x5C;psi) be a smooth coordinate chart for P, and let (E#x5F;1,#x5C;dots,E#x5F;#x7B;n-p#x7D;) be a local orthonormal frame for the normal bundle NP; by shrinking W#x5F;0 if necessary, we can assume that the coordinates and the local frame are defined on the same open subset W#x5F;0#x5C;subseteqP. Let #x5C;hat#x7B;W#x7D;#x5F;0#x3D;#x5C;psi(W#x5F;0)#x5C;subseteq#x5C;mathbb#x7B;R#x7D;ᵖ, and let NP#x5C;vert#x5F;#x7B;W#x5F;0#x7D; be the portion of the normal bundle over W#x5F;0. The coordinate map #x5C;psi and frame (E#x5F;j) yield a diffeomorphism #x5C;hat#x7B;W#x7D;#x5F;0#x5C;times#x5C;mathbb#x7B;R#x7D;#x7B;n-p#x7D;#x5C;rightarrowNP#x5C;vert#x5F;#x7B;W#x5F;0#x7D; defined by[…]",
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      "glosses": [
        "Synonym of coordinate chart."
      ],
      "links": [
        [
          "differential geometry",
          "differential geometry"
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        [
          "coordinate chart",
          "coordinate chart#English"
        ]
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      "raw_glosses": [
        "(differential geometry) Synonym of coordinate chart."
      ],
      "synonyms": [
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          "word": "coordinate chart"
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  "word": "coordinate map"
}