"open rectangle" meaning in English

See open rectangle in All languages combined, or Wiktionary

Noun

Forms: open rectangles [plural]
Head templates: {{en-noun}} open rectangle (plural open rectangles)
  1. (mathematics) A rectangle in the real plane which is an open set: i.e., which does not contain its edges. If the sides of the open rectangle are parallel to the plane's axes, then the open rectangle can be described as the Cartesian product of two open intervals. Categories (topical): Mathematics Meronyms: open interval
    Sense id: en-open_rectangle-en-noun-0MS68Sxx Categories (other): English entries with incorrect language header Topics: mathematics, sciences

Inflected forms

Download JSON data for open rectangle meaning in English (1.4kB)

{
  "forms": [
    {
      "form": "open rectangles",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "open rectangle (plural open rectangles)",
      "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": [
        "A rectangle in the real plane which is an open set: i.e., which does not contain its edges. If the sides of the open rectangle are parallel to the plane's axes, then the open rectangle can be described as the Cartesian product of two open intervals."
      ],
      "id": "en-open_rectangle-en-noun-0MS68Sxx",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "rectangle",
          "rectangle"
        ],
        [
          "open set",
          "open set"
        ],
        [
          "Cartesian product",
          "Cartesian product"
        ],
        [
          "open interval",
          "open interval"
        ]
      ],
      "meronyms": [
        {
          "word": "open interval"
        }
      ],
      "raw_glosses": [
        "(mathematics) A rectangle in the real plane which is an open set: i.e., which does not contain its edges. If the sides of the open rectangle are parallel to the plane's axes, then the open rectangle can be described as the Cartesian product of two open intervals."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "open rectangle"
}
{
  "forms": [
    {
      "form": "open rectangles",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "open rectangle (plural open rectangles)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "meronyms": [
    {
      "word": "open interval"
    }
  ],
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Mathematics"
      ],
      "glosses": [
        "A rectangle in the real plane which is an open set: i.e., which does not contain its edges. If the sides of the open rectangle are parallel to the plane's axes, then the open rectangle can be described as the Cartesian product of two open intervals."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "rectangle",
          "rectangle"
        ],
        [
          "open set",
          "open set"
        ],
        [
          "Cartesian product",
          "Cartesian product"
        ],
        [
          "open interval",
          "open interval"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A rectangle in the real plane which is an open set: i.e., which does not contain its edges. If the sides of the open rectangle are parallel to the plane's axes, then the open rectangle can be described as the Cartesian product of two open intervals."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "open rectangle"
}

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.