"Lyapunov exponent" meaning in All languages combined

See Lyapunov exponent on Wiktionary

Noun [English]

Forms: Lyapunov exponents [plural]
Etymology: Named after Aleksandr Lyapunov. Head templates: {{en-noun}} Lyapunov exponent (plural Lyapunov exponents)
  1. (mathematics) In a dynamical system, a quantity that characterizes the rate of separation of infinitesimally close trajectories. Wikipedia link: Aleksandr Lyapunov, Lyapunov exponent Categories (topical): Mathematics
    Sense id: en-Lyapunov_exponent-en-noun-siBoUMkk Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences

Inflected forms

{
  "etymology_text": "Named after Aleksandr Lyapunov.",
  "forms": [
    {
      "form": "Lyapunov exponents",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Lyapunov exponent (plural Lyapunov exponents)",
      "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": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "In a dynamical system, a quantity that characterizes the rate of separation of infinitesimally close trajectories."
      ],
      "id": "en-Lyapunov_exponent-en-noun-siBoUMkk",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "dynamical system",
          "dynamical system"
        ],
        [
          "quantity",
          "quantity"
        ],
        [
          "characterize",
          "characterize"
        ],
        [
          "rate",
          "rate"
        ],
        [
          "separation",
          "separation"
        ],
        [
          "infinitesimally",
          "infinitesimally"
        ],
        [
          "close",
          "close"
        ],
        [
          "trajectories",
          "trajectory"
        ]
      ],
      "raw_glosses": [
        "(mathematics) In a dynamical system, a quantity that characterizes the rate of separation of infinitesimally close trajectories."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Aleksandr Lyapunov",
        "Lyapunov exponent"
      ]
    }
  ],
  "word": "Lyapunov exponent"
}
{
  "etymology_text": "Named after Aleksandr Lyapunov.",
  "forms": [
    {
      "form": "Lyapunov exponents",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Lyapunov exponent (plural Lyapunov exponents)",
      "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",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "glosses": [
        "In a dynamical system, a quantity that characterizes the rate of separation of infinitesimally close trajectories."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "dynamical system",
          "dynamical system"
        ],
        [
          "quantity",
          "quantity"
        ],
        [
          "characterize",
          "characterize"
        ],
        [
          "rate",
          "rate"
        ],
        [
          "separation",
          "separation"
        ],
        [
          "infinitesimally",
          "infinitesimally"
        ],
        [
          "close",
          "close"
        ],
        [
          "trajectories",
          "trajectory"
        ]
      ],
      "raw_glosses": [
        "(mathematics) In a dynamical system, a quantity that characterizes the rate of separation of infinitesimally close trajectories."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Aleksandr Lyapunov",
        "Lyapunov exponent"
      ]
    }
  ],
  "word": "Lyapunov exponent"
}

Download raw JSONL data for Lyapunov exponent meaning in All languages combined (1.2kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). 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.