"triangle inequality" meaning in English

See triangle inequality in All languages combined, or Wiktionary

Proper name

Forms: the triangle inequality [canonical]
Head templates: {{en-proper noun|def=1}} the triangle inequality
  1. (mathematical analysis) The inequality that states that the magnitude of the sum of two vectors is less than or equal to the sum of the magnitudes of the vectors. Categories (topical): Mathematical analysis
    Sense id: en-triangle_inequality-en-name-fG9XTVs8 Topics: mathematical-analysis, mathematics, sciences
  2. (mathematical analysis) The inequality that states that the distance between two points is less than or equal to the sum of the distances between the first two points and some third point. Categories (topical): Mathematical analysis
    Sense id: en-triangle_inequality-en-name-OSf3x2Tz Categories (other): English entries with incorrect language header Disambiguation of English entries with incorrect language header: 23 49 29 Topics: mathematical-analysis, mathematics, sciences
  3. (mathematical analysis, by abstraction) Either of the above two inequalities, considered as one of the axioms which a function must satisfy to be a norm or metric respectively. Categories (topical): Mathematical analysis
    Sense id: en-triangle_inequality-en-name-zfCx4Ont Topics: mathematical-analysis, mathematics, sciences
The following are not (yet) sense-disambiguated
Translations (the triangle inequality): 三角不等式 (sānjiǎo bùděngshì) (Chinese), kolmioepäyhtälö (Finnish), inégalité triangulaire [feminine] (French), Dreiecksungleichung [feminine] (German), אי שוויון המשולש (Hebrew), disuguaglianza triangolare [feminine] (Italian), 三角不等式 (sankaku futōshiki) (alt: さんかくふとうしき) (Japanese), nierówność trójkąta [feminine] (Polish), desigualdade triangular [feminine] (Portuguese), inegalitatea triunghiului (note: def. form) [feminine] (Romanian), нера́венство треуго́льника (nerávenstvo treugólʹnika) [neuter] (Russian), desigualdad del triángulo [feminine] (Spanish), triangelolikhet [common-gender] (Swedish)
Disambiguation of 'the triangle inequality': 45 44 11

Download JSON data for triangle inequality meaning in English (5.2kB)

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  "translations": [
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      "_dis1": "45 44 11",
      "code": "zh",
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      "roman": "sānjiǎo bùděngshì",
      "sense": "the triangle inequality",
      "word": "三角不等式"
    },
    {
      "_dis1": "45 44 11",
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      "sense": "the triangle inequality",
      "word": "kolmioepäyhtälö"
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      "word": "三角不等式"
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      "code": "zh",
      "lang": "Chinese",
      "roman": "sānjiǎo bùděngshì",
      "sense": "the triangle inequality",
      "word": "三角不等式"
    },
    {
      "code": "fi",
      "lang": "Finnish",
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      "word": "kolmioepäyhtälö"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "the triangle inequality",
      "tags": [
        "feminine"
      ],
      "word": "inégalité triangulaire"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "the triangle inequality",
      "tags": [
        "feminine"
      ],
      "word": "Dreiecksungleichung"
    },
    {
      "code": "he",
      "lang": "Hebrew",
      "sense": "the triangle inequality",
      "word": "אי שוויון המשולש"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "the triangle inequality",
      "tags": [
        "feminine"
      ],
      "word": "disuguaglianza triangolare"
    },
    {
      "alt": "さんかくふとうしき",
      "code": "ja",
      "lang": "Japanese",
      "roman": "sankaku futōshiki",
      "sense": "the triangle inequality",
      "word": "三角不等式"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "the triangle inequality",
      "tags": [
        "feminine"
      ],
      "word": "nierówność trójkąta"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "the triangle inequality",
      "tags": [
        "feminine"
      ],
      "word": "desigualdade triangular"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "note": "def. form",
      "sense": "the triangle inequality",
      "tags": [
        "feminine"
      ],
      "word": "inegalitatea triunghiului"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "nerávenstvo treugólʹnika",
      "sense": "the triangle inequality",
      "tags": [
        "neuter"
      ],
      "word": "нера́венство треуго́льника"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "the triangle inequality",
      "tags": [
        "feminine"
      ],
      "word": "desigualdad del triángulo"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "the triangle inequality",
      "tags": [
        "common-gender"
      ],
      "word": "triangelolikhet"
    }
  ],
  "wikipedia": [
    "triangle inequality"
  ],
  "word": "triangle inequality"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 using wiktextract (f4fd8c9 and c9440ce). 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.

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