"Poincaré map" meaning in All languages combined

See Poincaré map on Wiktionary

Noun [English]

Forms: Poincaré maps [plural]
Etymology: Named after Henri Poincaré. Head templates: {{en-noun}} Poincaré map (plural Poincaré maps)
  1. (mathematics) The intersection of a periodic orbit in the state space of a continuous dynamical system with a certain lower-dimensional subspace (the Poincaré section), transversal to the flow of the system. Wikipedia link: Poincaré map
    Sense id: en-Poincaré_map-en-noun-FLFYbMEG Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries, Mathematics Topics: mathematics, sciences

Inflected forms

{
  "etymology_text": "Named after Henri Poincaré.",
  "forms": [
    {
      "form": "Poincaré maps",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "expansion": "Poincaré map (plural Poincaré maps)",
      "name": "en-noun"
    }
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w"
        },
        {
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          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
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          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "The intersection of a periodic orbit in the state space of a continuous dynamical system with a certain lower-dimensional subspace (the Poincaré section), transversal to the flow of the system."
      ],
      "id": "en-Poincaré_map-en-noun-FLFYbMEG",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "intersection",
          "intersection"
        ],
        [
          "periodic",
          "periodic"
        ],
        [
          "orbit",
          "orbit"
        ],
        [
          "subspace",
          "subspace"
        ],
        [
          "Poincaré section",
          "Poincaré section"
        ],
        [
          "transversal",
          "transversal"
        ],
        [
          "flow",
          "flow"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The intersection of a periodic orbit in the state space of a continuous dynamical system with a certain lower-dimensional subspace (the Poincaré section), transversal to the flow of the system."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Poincaré map"
      ]
    }
  ],
  "word": "Poincaré map"
}
{
  "etymology_text": "Named after Henri Poincaré.",
  "forms": [
    {
      "form": "Poincaré maps",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Poincaré map (plural Poincaré maps)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms spelled with É",
        "English terms spelled with ◌́",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "glosses": [
        "The intersection of a periodic orbit in the state space of a continuous dynamical system with a certain lower-dimensional subspace (the Poincaré section), transversal to the flow of the system."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "intersection",
          "intersection"
        ],
        [
          "periodic",
          "periodic"
        ],
        [
          "orbit",
          "orbit"
        ],
        [
          "subspace",
          "subspace"
        ],
        [
          "Poincaré section",
          "Poincaré section"
        ],
        [
          "transversal",
          "transversal"
        ],
        [
          "flow",
          "flow"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The intersection of a periodic orbit in the state space of a continuous dynamical system with a certain lower-dimensional subspace (the Poincaré section), transversal to the flow of the system."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Poincaré map"
      ]
    }
  ],
  "word": "Poincaré map"
}

Download raw JSONL data for Poincaré map meaning in All languages combined (1.3kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-05-27 from the enwiktionary dump dated 2025-05-20 using wiktextract (a4e883e and f1c2b61). 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.