"open interval" meaning in English

See open interval in All languages combined, or Wiktionary

Noun

Forms: open intervals [plural]
Head templates: {{en-noun}} open interval (plural open intervals)
  1. (mathematics) An interval in the real number line which does not contain its supremum and infimum. If specified by a pair of real numbers, then it consists of all the points on the real line whose values lie strictly between those two real numbers. Categories (topical): Mathematics Hypernyms: interval Holonyms: open rectangle, open box Translations (Translations): 開區間 (Chinese Mandarin), 开区间 (kāiqūjiān) (Chinese Mandarin), otevřený interval [masculine] (Czech), intervalle ouvert [masculine] (French), offenes Intervall [neuter] (German), 열린구간 (yeollin'gugan) (Korean), 개구간 (gaegugan) (Korean)

Inflected forms

{
  "forms": [
    {
      "form": "open intervals",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "open interval (plural open intervals)",
      "name": "en-noun"
    }
  ],
  "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"
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          "source": "w"
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        },
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          "name": "Mandarin terms with redundant transliterations",
          "parents": [
            "Terms with redundant transliterations",
            "Entry maintenance"
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          "source": "w"
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        },
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        },
        {
          "kind": "other",
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          "parents": [],
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        },
        {
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          "name": "Terms with French translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
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          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Korean translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Mandarin translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "An interval in the real number line which does not contain its supremum and infimum. If specified by a pair of real numbers, then it consists of all the points on the real line whose values lie strictly between those two real numbers."
      ],
      "holonyms": [
        {
          "word": "open rectangle"
        },
        {
          "word": "open box"
        }
      ],
      "hypernyms": [
        {
          "word": "interval"
        }
      ],
      "id": "en-open_interval-en-noun--1cUznYF",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "interval",
          "interval"
        ],
        [
          "real number line",
          "real number line"
        ],
        [
          "contain",
          "contain"
        ],
        [
          "supremum",
          "supremum"
        ],
        [
          "infimum",
          "infimum"
        ],
        [
          "specified",
          "specified"
        ],
        [
          "pair",
          "pair"
        ],
        [
          "real number",
          "real number"
        ],
        [
          "consist",
          "consist"
        ],
        [
          "point",
          "point"
        ],
        [
          "real line",
          "real line"
        ],
        [
          "value",
          "value"
        ],
        [
          "strictly",
          "strictly"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An interval in the real number line which does not contain its supremum and infimum. If specified by a pair of real numbers, then it consists of all the points on the real line whose values lie strictly between those two real numbers."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "sense": "Translations",
          "word": "開區間"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "kāiqūjiān",
          "sense": "Translations",
          "word": "开区间"
        },
        {
          "code": "cs",
          "lang": "Czech",
          "sense": "Translations",
          "tags": [
            "masculine"
          ],
          "word": "otevřený interval"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "Translations",
          "tags": [
            "masculine"
          ],
          "word": "intervalle ouvert"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "tags": [
            "neuter"
          ],
          "word": "offenes Intervall"
        },
        {
          "code": "ko",
          "lang": "Korean",
          "roman": "yeollin'gugan",
          "sense": "Translations",
          "word": "열린구간"
        },
        {
          "code": "ko",
          "lang": "Korean",
          "roman": "gaegugan",
          "sense": "Translations",
          "word": "개구간"
        }
      ]
    }
  ],
  "word": "open interval"
}
{
  "forms": [
    {
      "form": "open intervals",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "open interval (plural open intervals)",
      "name": "en-noun"
    }
  ],
  "holonyms": [
    {
      "word": "open rectangle"
    },
    {
      "word": "open box"
    }
  ],
  "hypernyms": [
    {
      "word": "interval"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Entries with translation boxes",
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        "Pages with entries",
        "Terms with Czech translations",
        "Terms with French translations",
        "Terms with German translations",
        "Terms with Korean translations",
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        "Translation table header lacks gloss",
        "en:Mathematics"
      ],
      "glosses": [
        "An interval in the real number line which does not contain its supremum and infimum. If specified by a pair of real numbers, then it consists of all the points on the real line whose values lie strictly between those two real numbers."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "interval",
          "interval"
        ],
        [
          "real number line",
          "real number line"
        ],
        [
          "contain",
          "contain"
        ],
        [
          "supremum",
          "supremum"
        ],
        [
          "infimum",
          "infimum"
        ],
        [
          "specified",
          "specified"
        ],
        [
          "pair",
          "pair"
        ],
        [
          "real number",
          "real number"
        ],
        [
          "consist",
          "consist"
        ],
        [
          "point",
          "point"
        ],
        [
          "real line",
          "real line"
        ],
        [
          "value",
          "value"
        ],
        [
          "strictly",
          "strictly"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An interval in the real number line which does not contain its supremum and infimum. If specified by a pair of real numbers, then it consists of all the points on the real line whose values lie strictly between those two real numbers."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "Translations",
      "word": "開區間"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "kāiqūjiān",
      "sense": "Translations",
      "word": "开区间"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "Translations",
      "tags": [
        "masculine"
      ],
      "word": "otevřený interval"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "Translations",
      "tags": [
        "masculine"
      ],
      "word": "intervalle ouvert"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "tags": [
        "neuter"
      ],
      "word": "offenes Intervall"
    },
    {
      "code": "ko",
      "lang": "Korean",
      "roman": "yeollin'gugan",
      "sense": "Translations",
      "word": "열린구간"
    },
    {
      "code": "ko",
      "lang": "Korean",
      "roman": "gaegugan",
      "sense": "Translations",
      "word": "개구간"
    }
  ],
  "word": "open interval"
}

Download raw JSONL data for open interval meaning in English (2.5kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). 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.