"monotonicity" meaning in All languages combined

See monotonicity on Wiktionary

Noun [English]

Forms: monotonicities [plural]
Etymology: From monotonic + -ity. Etymology templates: {{suffix|en|monotonic|ity}} monotonic + -ity Head templates: {{en-noun|~}} monotonicity (countable and uncountable, plural monotonicities)
  1. (mathematics, physics) The state of being monotonic. Tags: countable, uncountable Categories (topical): Mathematics, Physics Translations (mathematics, physics: the state of being monotonic): اِطِّرَادُ دَالَّةٍ (iṭṭirādu dāllatin) (english: monotonicity of a function) [masculine] (Arabic), monotónnost [feminine] (Czech), monotonie [feminine] (French), Monotonie [feminine] (German), einhalli [masculine] (Icelandic)
    Sense id: en-monotonicity-en-noun-rwKJJT8H Categories (other): English entries with incorrect language header, English terms suffixed with -ity, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with Arabic translations, Terms with Czech translations, Terms with French translations, Terms with German translations, Terms with Icelandic translations Disambiguation of English entries with incorrect language header: 53 47 Disambiguation of English terms suffixed with -ity: 53 47 Disambiguation of Entries with translation boxes: 65 35 Disambiguation of Pages with 1 entry: 53 47 Disambiguation of Pages with entries: 53 47 Disambiguation of Terms with Arabic translations: 58 42 Disambiguation of Terms with Czech translations: 58 42 Disambiguation of Terms with French translations: 60 40 Disambiguation of Terms with German translations: 60 40 Disambiguation of Terms with Icelandic translations: 58 42 Topics: mathematics, natural-sciences, physical-sciences, physics, sciences Disambiguation of 'mathematics, physics: the state of being monotonic': 79 21
  2. (mathematical analysis) Said of a positive measure: the property of a positive measure of a measure space, that given two measurable sets where the first set is contained in the second one, then the measure of the first set must be less than or equal to the measure of the second set. Tags: countable, uncountable Categories (topical): Mathematical analysis
    Sense id: en-monotonicity-en-noun-SnWszn7q Categories (other): English entries with incorrect language header, English terms suffixed with -ity, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 53 47 Disambiguation of English terms suffixed with -ity: 53 47 Disambiguation of Pages with 1 entry: 53 47 Disambiguation of Pages with entries: 53 47 Topics: mathematical-analysis, mathematics, sciences
The following are not (yet) sense-disambiguated
Derived forms: comonotonicity, nonmonotonicity

Inflected forms

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      "_dis1": "0 0",
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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        {
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          "langcode": "en",
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      ],
      "glosses": [
        "The state of being monotonic."
      ],
      "id": "en-monotonicity-en-noun-rwKJJT8H",
      "links": [
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          "mathematics",
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          "monotonic"
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      "raw_glosses": [
        "(mathematics, physics) The state of being monotonic."
      ],
      "tags": [
        "countable",
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        "mathematics",
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      "translations": [
        {
          "_dis1": "79 21",
          "code": "ar",
          "english": "monotonicity of a function",
          "lang": "Arabic",
          "roman": "iṭṭirādu dāllatin",
          "sense": "mathematics, physics: the state of being monotonic",
          "tags": [
            "masculine"
          ],
          "word": "اِطِّرَادُ دَالَّةٍ"
        },
        {
          "_dis1": "79 21",
          "code": "cs",
          "lang": "Czech",
          "sense": "mathematics, physics: the state of being monotonic",
          "tags": [
            "feminine"
          ],
          "word": "monotónnost"
        },
        {
          "_dis1": "79 21",
          "code": "fr",
          "lang": "French",
          "sense": "mathematics, physics: the state of being monotonic",
          "tags": [
            "feminine"
          ],
          "word": "monotonie"
        },
        {
          "_dis1": "79 21",
          "code": "de",
          "lang": "German",
          "sense": "mathematics, physics: the state of being monotonic",
          "tags": [
            "feminine"
          ],
          "word": "Monotonie"
        },
        {
          "_dis1": "79 21",
          "code": "is",
          "lang": "Icelandic",
          "sense": "mathematics, physics: the state of being monotonic",
          "tags": [
            "masculine"
          ],
          "word": "einhalli"
        }
      ]
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      "glosses": [
        "Said of a positive measure: the property of a positive measure of a measure space, that given two measurable sets where the first set is contained in the second one, then the measure of the first set must be less than or equal to the measure of the second set."
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      "id": "en-monotonicity-en-noun-SnWszn7q",
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        "(mathematical analysis) Said of a positive measure: the property of a positive measure of a measure space, that given two measurable sets where the first set is contained in the second one, then the measure of the first set must be less than or equal to the measure of the second set."
      ],
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        "mathematics",
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    "Terms with Czech translations",
    "Terms with French translations",
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        "(mathematics, physics) The state of being monotonic."
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      ],
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    {
      "code": "ar",
      "english": "monotonicity of a function",
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      "roman": "iṭṭirādu dāllatin",
      "sense": "mathematics, physics: the state of being monotonic",
      "tags": [
        "masculine"
      ],
      "word": "اِطِّرَادُ دَالَّةٍ"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "mathematics, physics: the state of being monotonic",
      "tags": [
        "feminine"
      ],
      "word": "monotónnost"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "mathematics, physics: the state of being monotonic",
      "tags": [
        "feminine"
      ],
      "word": "monotonie"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "mathematics, physics: the state of being monotonic",
      "tags": [
        "feminine"
      ],
      "word": "Monotonie"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "mathematics, physics: the state of being monotonic",
      "tags": [
        "masculine"
      ],
      "word": "einhalli"
    }
  ],
  "word": "monotonicity"
}

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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.