"Christoffel symbol" meaning in All languages combined

{
  "etymology_text": "Named for Elwin Bruno Christoffel (1829–1900).",
  "forms": [
    {
      "form": "Christoffel symbols",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Christoffel symbol (plural Christoffel symbols)",
      "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"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Differential geometry",
          "orig": "en:Differential geometry",
          "parents": [
            "Geometry",
            "Mathematical analysis",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "⃑x_uu\\⃑x_uv\\⃑x_vv=ΓᵤᵤᵘΓᵤᵤᵛl\\ΓᵤᵥᵘΓᵤᵥᵛm\\ΓᵥᵥᵘΓᵥᵥᵛn⃑x_u\\⃑x_v\\⃑n"
        }
      ],
      "glosses": [
        "For a surface with parametrization ⃑x(u,v), and letting i,j,k∈u,v, the Christoffel symbol Γᵢⱼᵏ is the component of the second derivative ⃑x_ij in the direction of the first derivative ⃑x_k, and it encodes information about the surface's curvature. Thus,"
      ],
      "id": "en-Christoffel_symbol-en-noun-j-X6kiiY",
      "links": [
        [
          "differential geometry",
          "differential geometry"
        ]
      ],
      "qualifier": "differential geometry",
      "raw_glosses": [
        "(differential geometry) For a surface with parametrization ⃑x(u,v), and letting i,j,k∈u,v, the Christoffel symbol Γᵢⱼᵏ is the component of the second derivative ⃑x_ij in the direction of the first derivative ⃑x_k, and it encodes information about the surface's curvature. Thus,"
      ],
      "wikipedia": [
        "Christoffel symbol"
      ]
    }
  ],
  "word": "Christoffel symbol"
}

{
  "etymology_text": "Named for Elwin Bruno Christoffel (1829–1900).",
  "forms": [
    {
      "form": "Christoffel symbols",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Christoffel symbol (plural Christoffel symbols)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Differential geometry"
      ],
      "examples": [
        {
          "text": "⃑x_uu\\⃑x_uv\\⃑x_vv=ΓᵤᵤᵘΓᵤᵤᵛl\\ΓᵤᵥᵘΓᵤᵥᵛm\\ΓᵥᵥᵘΓᵥᵥᵛn⃑x_u\\⃑x_v\\⃑n"
        }
      ],
      "glosses": [
        "For a surface with parametrization ⃑x(u,v), and letting i,j,k∈u,v, the Christoffel symbol Γᵢⱼᵏ is the component of the second derivative ⃑x_ij in the direction of the first derivative ⃑x_k, and it encodes information about the surface's curvature. Thus,"
      ],
      "links": [
        [
          "differential geometry",
          "differential geometry"
        ]
      ],
      "qualifier": "differential geometry",
      "raw_glosses": [
        "(differential geometry) For a surface with parametrization ⃑x(u,v), and letting i,j,k∈u,v, the Christoffel symbol Γᵢⱼᵏ is the component of the second derivative ⃑x_ij in the direction of the first derivative ⃑x_k, and it encodes information about the surface's curvature. Thus,"
      ],
      "wikipedia": [
        "Christoffel symbol"
      ]
    }
  ],
  "word": "Christoffel symbol"
}