"holonomy" meaning in All languages combined

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  "etymology_text": "From holo- + -nomy.",
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      "derived": [
        {
          "word": "anholonomy"
        },
        {
          "word": "holonomic"
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      "glosses": [
        "Given a smooth closed curve C on a surface M, and picking any point P on that curve, the holonomy of C in M is the angle by which some vector turns as it is parallel transported along the curve C from point P all the way around and back to point P."
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          "differential geometry",
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          "parallel transport",
          "parallel transport"
        ]
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      "raw_glosses": [
        "(differential geometry) Given a smooth closed curve C on a surface M, and picking any point P on that curve, the holonomy of C in M is the angle by which some vector turns as it is parallel transported along the curve C from point P all the way around and back to point P."
      ],
      "related": [
        {
          "word": "holonomicity"
        }
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  "word": "holonomy"
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      "word": "anholonomy"
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      "word": "holonomic"
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  "pos": "noun",
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      "word": "holonomicity"
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        "Given a smooth closed curve C on a surface M, and picking any point P on that curve, the holonomy of C in M is the angle by which some vector turns as it is parallel transported along the curve C from point P all the way around and back to point P."
      ],
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        "(differential geometry) Given a smooth closed curve C on a surface M, and picking any point P on that curve, the holonomy of C in M is the angle by which some vector turns as it is parallel transported along the curve C from point P all the way around and back to point P."
      ]
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  "word": "holonomy"
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