"contact manifold" meaning in All languages combined

{
  "forms": [
    {
      "form": "contact manifolds",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "contact manifold (plural contact manifolds)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
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        },
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        },
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          "kind": "other",
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          "name": "Geometry",
          "orig": "en:Geometry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Manifolds",
          "orig": "en:Manifolds",
          "parents": [],
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        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [],
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        }
      ],
      "glosses": [
        "A smooth manifold of odd dimensionality in contact geometry."
      ],
      "id": "en-contact_manifold-en-noun-9EZdH5wd",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "geometry",
          "geometry"
        ],
        [
          "smooth manifold",
          "smooth manifold"
        ],
        [
          "odd",
          "odd"
        ],
        [
          "dimensionality",
          "dimensionality"
        ],
        [
          "contact geometry",
          "contact geometry"
        ]
      ],
      "qualifier": "contact geometry",
      "raw_glosses": [
        "(mathematics, contact geometry) A smooth manifold of odd dimensionality in contact geometry."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "contact manifold"
}

{
  "forms": [
    {
      "form": "contact manifolds",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "contact manifold (plural contact manifolds)",
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  "lang_code": "en",
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  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
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        "en:Geometry",
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        "en:Mathematics"
      ],
      "glosses": [
        "A smooth manifold of odd dimensionality in contact geometry."
      ],
      "links": [
        [
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        ],
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          "geometry",
          "geometry"
        ],
        [
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          "smooth manifold"
        ],
        [
          "odd",
          "odd"
        ],
        [
          "dimensionality",
          "dimensionality"
        ],
        [
          "contact geometry",
          "contact geometry"
        ]
      ],
      "qualifier": "contact geometry",
      "raw_glosses": [
        "(mathematics, contact geometry) A smooth manifold of odd dimensionality in contact geometry."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "contact manifold"
}