"holonomy" meaning in English

See holonomy in All languages combined, or Wiktionary

Noun

Forms: holonomies [plural]
Etymology: holo- + -nomy Etymology templates: {{confix|en|holo|nomy}} holo- + -nomy Head templates: {{en-noun}} holonomy (plural holonomies)
  1. (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. Categories (topical): Differential geometry, Geometry Derived forms: anholonomy, holonomic Related terms: holonomicity

Inflected forms

Download JSON data for holonomy meaning in English (2.3kB)

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  "etymology_text": "holo- + -nomy",
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          "name": "English entries with incorrect language header",
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          "name": "Non-Euclidean geometry",
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        }
      ],
      "derived": [
        {
          "word": "anholonomy"
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        {
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      ],
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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."
      ],
      "id": "en-holonomy-en-noun-jBh8xHDe",
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      ],
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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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    {
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      ],
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        [
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      "qualifier": "differential geometry",
      "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."
      ]
    }
  ],
  "word": "holonomy"
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-20 from the enwiktionary dump dated 2024-05-02 using wiktextract (1d5a7d1 and 304864d). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.