"substochastic" meaning in All languages combined

See substochastic on Wiktionary

Adjective [English]

Etymology: sub- + stochastic Etymology templates: {{prefix|en|sub|stochastic}} sub- + stochastic Head templates: {{en-adj|-}} substochastic (not comparable)
  1. (mathematics, of a matrix) stochastic but having sums of columns less than 1 Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-substochastic-en-adj-pdH5tMCj Categories (other): English entries with incorrect language header, English terms prefixed with sub- Topics: mathematics, sciences

Download JSON data for substochastic meaning in All languages combined (1.6kB)

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      "args": {
        "1": "en",
        "2": "sub",
        "3": "stochastic"
      },
      "expansion": "sub- + stochastic",
      "name": "prefix"
    }
  ],
  "etymology_text": "sub- + stochastic",
  "head_templates": [
    {
      "args": {
        "1": "-"
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      "expansion": "substochastic (not comparable)",
      "name": "en-adj"
    }
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  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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          "source": "w"
        },
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          "name": "English terms prefixed with sub-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
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      "examples": [
        {
          "ref": "2015, Weronika Biedrzycka, Marta Tyran-Kaminska, “Existence of invariant densities for semiflows with jumps”, in arXiv",
          "text": "The problem of existence and uniqueness of absolutely continuous invariant measures for a class of piecewise deterministic Markov processes is investigated using the theory of substochastic semigroups obtained through the Kato--Voigt perturbation theorem on the L¹-space.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "stochastic but having sums of columns less than 1"
      ],
      "id": "en-substochastic-en-adj-pdH5tMCj",
      "links": [
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          "mathematics",
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        [
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      ],
      "raw_glosses": [
        "(mathematics, of a matrix) stochastic but having sums of columns less than 1"
      ],
      "raw_tags": [
        "of a matrix"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "substochastic"
}
{
  "etymology_templates": [
    {
      "args": {
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        "2": "sub",
        "3": "stochastic"
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  "etymology_text": "sub- + stochastic",
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  "lang_code": "en",
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      "examples": [
        {
          "ref": "2015, Weronika Biedrzycka, Marta Tyran-Kaminska, “Existence of invariant densities for semiflows with jumps”, in arXiv",
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          "type": "quotation"
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      ],
      "raw_tags": [
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  "word": "substochastic"
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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 2024-06-19 from the enwiktionary dump dated 2024-06-06 using wiktextract (372f256 and 664a3bc). 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.