"nonsqueezing" meaning in English

See nonsqueezing in All languages combined, or Wiktionary

Adjective

Etymology: non- + squeezing Etymology templates: {{prefix|en|non|squeezing}} non- + squeezing Head templates: {{en-adj|-}} nonsqueezing (not comparable)
  1. (geometry) Being or relating to the theorem in symplectic geometry stating that one cannot embed a sphere into a cylinder via a symplectic map unless the radius of the sphere is less than or equal to the radius of the cylinder. Wikipedia link: Non-squeezing theorem Tags: not-comparable Categories (topical): Geometry
    Sense id: en-nonsqueezing-en-adj-av-euqQN Categories (other): English entries with incorrect language header, English terms prefixed with non- Topics: geometry, mathematics, sciences

Download JSON data for nonsqueezing meaning in English (2.1kB)

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  "etymology_text": "non- + squeezing",
  "head_templates": [
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  "pos": "adj",
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      "examples": [
        {
          "ref": "2015, Sunghyun Hong, Soonsik Kwon, “Nonsqueezing property of the coupled KdV type system without Miura transform”, in arXiv",
          "text": "Relying on Gromov's nonsqueezing theorem for finite dimensional Hamiltonian systems, the argument is to approximate the solutions to the original infinite dimensional Hamiltonian system by a frequency truncated finite dimensional system, and then the nonsqueezing property is transferred to the infinite dimensional system.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Being or relating to the theorem in symplectic geometry stating that one cannot embed a sphere into a cylinder via a symplectic map unless the radius of the sphere is less than or equal to the radius of the cylinder."
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        [
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        [
          "sphere",
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        [
          "cylinder",
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        [
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        ],
        [
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      "raw_glosses": [
        "(geometry) Being or relating to the theorem in symplectic geometry stating that one cannot embed a sphere into a cylinder via a symplectic map unless the radius of the sphere is less than or equal to the radius of the cylinder."
      ],
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        "not-comparable"
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      ],
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        "Being or relating to the theorem in symplectic geometry stating that one cannot embed a sphere into a cylinder via a symplectic map unless the radius of the sphere is less than or equal to the radius of the cylinder."
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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 2024-05-29 from the enwiktionary dump dated 2024-05-02 using wiktextract (9d9fc81 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.