"first-order" meaning in English

See first-order in All languages combined, or Wiktionary

Adjective

Head templates: {{en-adj|-}} first-order (not comparable)
  1. (mathematics, logic) Of one of a series of models, languages, relationship, forms of logical discourse, etc., being the simplest one or the first in a sequence. Tags: not-comparable Categories (topical): Logic, Mathematics Translations (being the simplest of many): eersteorde- (Dutch)
    Sense id: en-first-order-en-adj-dXzWUZTt Categories (other): English entries with incorrect language header, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with Dutch translations Disambiguation of English entries with incorrect language header: 67 33 Disambiguation of Entries with translation boxes: 83 17 Disambiguation of Pages with 1 entry: 75 25 Disambiguation of Pages with entries: 89 11 Disambiguation of Terms with Dutch translations: 80 20 Topics: human-sciences, logic, mathematics, philosophy, sciences Disambiguation of 'being the simplest of many': 91 9
  2. Of fundamental importance. Tags: not-comparable
    Sense id: en-first-order-en-adj-n-Zd~ZnY
The following are not (yet) sense-disambiguated
Related terms: second-order
Derived forms: first-order approximation, first-order control, first-order difference, first-order election, first-order fluid, first-order function, first-order hold, first-order levelling, first-order logic, first-order ordinary differential, first-order predicate, first-order reaction, first-order relief, first-order spectrum, first-order station, first-order subroutine, first-order theory, first-order transition, first-order variable
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      "word": "first-order approximation"
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      "_dis1": "0 0",
      "word": "first-order control"
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      "_dis1": "0 0",
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      "_dis1": "0 0",
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      "_dis1": "0 0",
      "word": "first-order fluid"
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      "_dis1": "0 0",
      "word": "first-order function"
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      "_dis1": "0 0",
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      "_dis1": "0 0",
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      "_dis1": "0 0",
      "word": "first-order ordinary differential"
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      "_dis1": "0 0",
      "word": "first-order predicate"
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      "word": "first-order reaction"
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      "_dis1": "0 0",
      "word": "first-order relief"
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      "_dis1": "0 0",
      "word": "first-order spectrum"
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    {
      "_dis1": "0 0",
      "word": "first-order station"
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    {
      "_dis1": "0 0",
      "word": "first-order subroutine"
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    {
      "_dis1": "0 0",
      "word": "first-order theory"
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      "word": "first-order transition"
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      "_dis1": "0 0",
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  "lang_code": "en",
  "pos": "adj",
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  "senses": [
    {
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          "kind": "topical",
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          "orig": "en:Logic",
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          "_dis": "75 25",
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        "Of one of a series of models, languages, relationship, forms of logical discourse, etc., being the simplest one or the first in a sequence."
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      "id": "en-first-order-en-adj-dXzWUZTt",
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      "raw_glosses": [
        "(mathematics, logic) Of one of a series of models, languages, relationship, forms of logical discourse, etc., being the simplest one or the first in a sequence."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ],
      "translations": [
        {
          "_dis1": "91 9",
          "code": "nl",
          "lang": "Dutch",
          "sense": "being the simplest of many",
          "word": "eersteorde-"
        }
      ]
    },
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      "examples": [
        {
          "ref": "2021, Trevor George Gardner, “By Any Means: A Philosophical Frame for Rulemaking Reform in Criminal Law”, in Yale Law Journal Forum, page 800:",
          "text": "If our goal is to put out the fire—to alleviate a humanitarian crisis broadly referenced in mainstream discourse as \"mass incarceration\" and \"overcriminalization\"— that are the specific benefits that flow from making fair policymaking process a first-order principle in the criminal-justice reform movement?",
          "type": "quote"
        }
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        "Of fundamental importance."
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  "word": "first-order"
}
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    {
      "word": "first-order approximation"
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    {
      "word": "first-order control"
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    {
      "word": "first-order difference"
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    {
      "word": "first-order election"
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    {
      "word": "first-order fluid"
    },
    {
      "word": "first-order function"
    },
    {
      "word": "first-order hold"
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    {
      "word": "first-order levelling"
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    {
      "word": "first-order logic"
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    {
      "word": "first-order ordinary differential"
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    {
      "word": "first-order predicate"
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    {
      "word": "first-order reaction"
    },
    {
      "word": "first-order relief"
    },
    {
      "word": "first-order spectrum"
    },
    {
      "word": "first-order station"
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    {
      "word": "first-order subroutine"
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    {
      "word": "first-order theory"
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    {
      "word": "first-order transition"
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    {
      "word": "first-order variable"
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  "lang_code": "en",
  "pos": "adj",
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    {
      "word": "second-order"
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    {
      "categories": [
        "en:Logic",
        "en:Mathematics"
      ],
      "glosses": [
        "Of one of a series of models, languages, relationship, forms of logical discourse, etc., being the simplest one or the first in a sequence."
      ],
      "links": [
        [
          "mathematics",
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        "(mathematics, logic) Of one of a series of models, languages, relationship, forms of logical discourse, etc., being the simplest one or the first in a sequence."
      ],
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        "not-comparable"
      ],
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        "human-sciences",
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          "ref": "2021, Trevor George Gardner, “By Any Means: A Philosophical Frame for Rulemaking Reform in Criminal Law”, in Yale Law Journal Forum, page 800:",
          "text": "If our goal is to put out the fire—to alleviate a humanitarian crisis broadly referenced in mainstream discourse as \"mass incarceration\" and \"overcriminalization\"— that are the specific benefits that flow from making fair policymaking process a first-order principle in the criminal-justice reform movement?",
          "type": "quote"
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      "glosses": [
        "Of fundamental importance."
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  "translations": [
    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "being the simplest of many",
      "word": "eersteorde-"
    }
  ],
  "word": "first-order"
}

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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.