"coordinate chart" meaning in English

{
  "forms": [
    {
      "form": "coordinate charts",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "coordinate chart (plural coordinate charts)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
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          "source": "w"
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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Differential geometry",
          "orig": "en:Differential geometry",
          "parents": [
            "Geometry",
            "Mathematical analysis",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Functions",
          "orig": "en:Functions",
          "parents": [
            "Algebra",
            "Calculus",
            "Geometry",
            "Mathematical analysis",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2016 September 30, Kristopher Tapp, Differential Geometry of Curves and Surfaces (Undergraduate Texts in Mathematics), Springer, →OCLC, page 125",
          "text": "A set S#x5C;subset#x5C;mathbb#x7B;R#x7D;³ is called a regular surface if each of its points has a neighborhood in S that is diffeomorphic to an open set in #x5C;mathbb#x7B;R#x7D;². That is, for every p#x5C;inS, there exists a neighborhood, V, of p in S, an open set U#x5C;subset#x5C;mathbb#x7B;R#x7D;², and a diffeomorphism #x5C;sigma#x3A;U#x5C;rightarrowV. Such a diffeomorphism #x5C;sigma is called a surface patch or a coordinate chart. A collection of surface patches that together cover all of the points of S is called an atlas for S.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A homeomorphism from a local neighborhood around a point on a topological n-manifold in a Banach space to an n-dimensional Banach space (typically a subspace of the space the manifold is embedded in)."
      ],
      "id": "en-coordinate_chart-en-noun-ebTfe0QW",
      "links": [
        [
          "differential geometry",
          "differential geometry"
        ],
        [
          "homeomorphism",
          "homeomorphism"
        ],
        [
          "local",
          "local"
        ],
        [
          "neighborhood",
          "neighborhood"
        ],
        [
          "point",
          "point"
        ],
        [
          "topological",
          "topological"
        ],
        [
          "manifold",
          "manifold"
        ],
        [
          "Banach space",
          "Banach space"
        ],
        [
          "subspace",
          "subspace"
        ],
        [
          "embed",
          "embed"
        ]
      ],
      "qualifier": "differential geometry",
      "raw_glosses": [
        "(differential geometry) A homeomorphism from a local neighborhood around a point on a topological n-manifold in a Banach space to an n-dimensional Banach space (typically a subspace of the space the manifold is embedded in)."
      ],
      "related": [
        {
          "word": "transition function"
        },
        {
          "word": "atlas"
        }
      ],
      "synonyms": [
        {
          "word": "chart"
        },
        {
          "word": "coordinate map"
        },
        {
          "word": "surface patch"
        }
      ],
      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Translations",
          "word": "kartta"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "Karte"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "tags": [
            "masculine"
          ],
          "word": "Flachmacher"
        }
      ]
    }
  ],
  "word": "coordinate chart"
}

{
  "forms": [
    {
      "form": "coordinate charts",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "coordinate chart (plural coordinate charts)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "transition function"
    },
    {
      "word": "atlas"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with topic categories using raw markup",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "English terms with quotations",
        "Translation table header lacks gloss",
        "en:Differential geometry",
        "en:Functions"
      ],
      "examples": [
        {
          "ref": "2016 September 30, Kristopher Tapp, Differential Geometry of Curves and Surfaces (Undergraduate Texts in Mathematics), Springer, →OCLC, page 125",
          "text": "A set S#x5C;subset#x5C;mathbb#x7B;R#x7D;³ is called a regular surface if each of its points has a neighborhood in S that is diffeomorphic to an open set in #x5C;mathbb#x7B;R#x7D;². That is, for every p#x5C;inS, there exists a neighborhood, V, of p in S, an open set U#x5C;subset#x5C;mathbb#x7B;R#x7D;², and a diffeomorphism #x5C;sigma#x3A;U#x5C;rightarrowV. Such a diffeomorphism #x5C;sigma is called a surface patch or a coordinate chart. A collection of surface patches that together cover all of the points of S is called an atlas for S.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A homeomorphism from a local neighborhood around a point on a topological n-manifold in a Banach space to an n-dimensional Banach space (typically a subspace of the space the manifold is embedded in)."
      ],
      "links": [
        [
          "differential geometry",
          "differential geometry"
        ],
        [
          "homeomorphism",
          "homeomorphism"
        ],
        [
          "local",
          "local"
        ],
        [
          "neighborhood",
          "neighborhood"
        ],
        [
          "point",
          "point"
        ],
        [
          "topological",
          "topological"
        ],
        [
          "manifold",
          "manifold"
        ],
        [
          "Banach space",
          "Banach space"
        ],
        [
          "subspace",
          "subspace"
        ],
        [
          "embed",
          "embed"
        ]
      ],
      "qualifier": "differential geometry",
      "raw_glosses": [
        "(differential geometry) A homeomorphism from a local neighborhood around a point on a topological n-manifold in a Banach space to an n-dimensional Banach space (typically a subspace of the space the manifold is embedded in)."
      ],
      "synonyms": [
        {
          "word": "chart"
        },
        {
          "word": "coordinate map"
        },
        {
          "word": "surface patch"
        }
      ]
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Translations",
      "word": "kartta"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "Karte"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "tags": [
        "masculine"
      ],
      "word": "Flachmacher"
    }
  ],
  "word": "coordinate chart"
}