"half-open interval" meaning in English

See half-open interval in All languages combined, or Wiktionary

Noun

Forms: half-open intervals [plural]
Head templates: {{en-noun|head=half-open interval}} half-open interval (plural half-open intervals)
  1. (mathematics) An interval in the real line which contains one of its endpoints but not the other one: i.e., it either contains its supremum or its infimum but not both. Categories (topical): Mathematics Hypernyms: interval Related terms: open interval, closed interval
    Sense id: en-half-open_interval-en-noun-JckFuHdB Categories (other): English entries with incorrect language header Topics: mathematics, sciences

Inflected forms

Download JSON data for half-open interval meaning in English (1.4kB)

{
  "forms": [
    {
      "form": "half-open intervals",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "head": "half-open interval"
      },
      "expansion": "half-open interval (plural half-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"
          ],
          "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 line which contains one of its endpoints but not the other one: i.e., it either contains its supremum or its infimum but not both."
      ],
      "hypernyms": [
        {
          "word": "interval"
        }
      ],
      "id": "en-half-open_interval-en-noun-JckFuHdB",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "interval",
          "interval"
        ],
        [
          "real line",
          "real line"
        ],
        [
          "endpoint",
          "endpoint"
        ],
        [
          "supremum",
          "supremum"
        ],
        [
          "infimum",
          "infimum"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An interval in the real line which contains one of its endpoints but not the other one: i.e., it either contains its supremum or its infimum but not both."
      ],
      "related": [
        {
          "word": "open interval"
        },
        {
          "word": "closed interval"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "half-open interval"
}
{
  "forms": [
    {
      "form": "half-open intervals",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "head": "half-open interval"
      },
      "expansion": "half-open interval (plural half-open intervals)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "word": "interval"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "open interval"
    },
    {
      "word": "closed interval"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Mathematics"
      ],
      "glosses": [
        "An interval in the real line which contains one of its endpoints but not the other one: i.e., it either contains its supremum or its infimum but not both."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "interval",
          "interval"
        ],
        [
          "real line",
          "real line"
        ],
        [
          "endpoint",
          "endpoint"
        ],
        [
          "supremum",
          "supremum"
        ],
        [
          "infimum",
          "infimum"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An interval in the real line which contains one of its endpoints but not the other one: i.e., it either contains its supremum or its infimum but not both."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "half-open interval"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-05 from the enwiktionary dump dated 2024-05-02 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.

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.