"first return time" meaning in All languages combined

See first return time on Wiktionary

Noun [English]

Forms: first return times [plural]
Head templates: {{en-noun|~}} first return time (countable and uncountable, plural first return times)
  1. (mathematics, stochastic process)The first hit time for the singleton set {X₀(ω)}, which is usually a given deterministic element of the state space, such as the origin of the coordinate system. Tags: countable, uncountable Categories (topical): Mathematics
    Sense id: en-first_return_time-en-noun-pbayzNTa Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences

Inflected forms

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  "forms": [
    {
      "form": "first return times",
      "tags": [
        "plural"
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  "head_templates": [
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      "args": {
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      "expansion": "first return time (countable and uncountable, plural first return times)",
      "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": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
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          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The first hit time for the singleton set {X₀(ω)}, which is usually a given deterministic element of the state space, such as the origin of the coordinate system."
      ],
      "id": "en-first_return_time-en-noun-pbayzNTa",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "first hit time",
          "first hit time"
        ],
        [
          "singleton",
          "singleton"
        ],
        [
          "given",
          "given"
        ],
        [
          "deterministic",
          "deterministic"
        ],
        [
          "element",
          "element"
        ],
        [
          "state space",
          "state space"
        ],
        [
          "origin",
          "origin"
        ],
        [
          "coordinate system",
          "coordinate system"
        ]
      ],
      "qualifier": "stochastic process",
      "raw_glosses": [
        "(mathematics, stochastic process)The first hit time for the singleton set {X₀(ω)}, which is usually a given deterministic element of the state space, such as the origin of the coordinate system."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "first return time"
}
{
  "forms": [
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      "form": "first return times",
      "tags": [
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    }
  ],
  "head_templates": [
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      "args": {
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    }
  ],
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English uncountable nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "glosses": [
        "The first hit time for the singleton set {X₀(ω)}, which is usually a given deterministic element of the state space, such as the origin of the coordinate system."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "first hit time",
          "first hit time"
        ],
        [
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        ],
        [
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          "given"
        ],
        [
          "deterministic",
          "deterministic"
        ],
        [
          "element",
          "element"
        ],
        [
          "state space",
          "state space"
        ],
        [
          "origin",
          "origin"
        ],
        [
          "coordinate system",
          "coordinate system"
        ]
      ],
      "qualifier": "stochastic process",
      "raw_glosses": [
        "(mathematics, stochastic process)The first hit time for the singleton set {X₀(ω)}, which is usually a given deterministic element of the state space, such as the origin of the coordinate system."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "first return time"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-28 from the enwiktionary dump dated 2024-11-21 using wiktextract (65a6e81 and 0dbea76). 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.