"symplectization" meaning in All languages combined

See symplectization on Wiktionary

Noun [English]

Forms: symplectizations [plural]
Head templates: {{en-noun}} symplectization (plural symplectizations)
  1. (mathematics) Conversion to symplectic form Categories (topical): Mathematics
    Sense id: en-symplectization-en-noun-luFfp-yb Categories (other): English entries with incorrect language header Topics: mathematics, sciences

Inflected forms

Alternative forms

Download JSON data for symplectization meaning in All languages combined (1.3kB)

{
  "forms": [
    {
      "form": "symplectizations",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "symplectization (plural symplectizations)",
      "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": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, Orsola Capovilla-Searle, Lisa Traynor, “Non-Orientable Lagrangian Cobordisms between Legendrian Knots”, in arXiv",
          "text": "In the symplectization of standard contact 3-space, #x5C;mathbbR#x5C;times#x5C;mathbbR³, it is known that an orientable Lagrangian cobordism between a Legendrian knot and itself, also known as an orientable Lagrangian endocobordism for the Legendrian knot, must have genus 0.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Conversion to symplectic form"
      ],
      "id": "en-symplectization-en-noun-luFfp-yb",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "symplectic",
          "symplectic"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Conversion to symplectic form"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "symplectization"
}
{
  "forms": [
    {
      "form": "symplectizations",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "symplectization (plural symplectizations)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms with quotations",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2015, Orsola Capovilla-Searle, Lisa Traynor, “Non-Orientable Lagrangian Cobordisms between Legendrian Knots”, in arXiv",
          "text": "In the symplectization of standard contact 3-space, #x5C;mathbbR#x5C;times#x5C;mathbbR³, it is known that an orientable Lagrangian cobordism between a Legendrian knot and itself, also known as an orientable Lagrangian endocobordism for the Legendrian knot, must have genus 0.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Conversion to symplectic form"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "symplectic",
          "symplectic"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Conversion to symplectic form"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "symplectization"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 and db5a844). 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.