"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": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "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 entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "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"
}