"extended real number system" meaning in English

See extended real number system in All languages combined, or Wiktionary

Noun

Forms: real number systems [plural]
Head templates: {{en-noun|real number systems|head=extended real number system}} extended real number system (plural real number systems)
  1. (mathematics) The real number system adjoined with two extra symbols: ∞ and −∞, inheriting the ordering of the real number system, and defining −∞ to be less than any real number, and ∞ to be larger than any real number. Wikipedia link: Extended real number line Categories (topical): Mathematics

Download JSON data for extended real number system meaning in English (1.9kB)

{
  "forms": [
    {
      "form": "real number systems",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "real number systems",
        "head": "extended real number system"
      },
      "expansion": "extended real number system (plural real number systems)",
      "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": "other",
          "name": "English entries with topic categories using raw markup",
          "parents": [
            "Entries with topic categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Infinity",
          "orig": "en:Infinity",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The real number system adjoined with two extra symbols: ∞ and −∞, inheriting the ordering of the real number system, and defining −∞ to be less than any real number, and ∞ to be larger than any real number."
      ],
      "id": "en-extended_real_number_system-en-noun-VWijwc42",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "real number system",
          "real number system"
        ],
        [
          "adjoined",
          "adjoined"
        ],
        [
          "∞",
          "∞"
        ],
        [
          "real number",
          "real number"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The real number system adjoined with two extra symbols: ∞ and −∞, inheriting the ordering of the real number system, and defining −∞ to be less than any real number, and ∞ to be larger than any real number."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Extended real number line"
      ]
    }
  ],
  "word": "extended real number system"
}
{
  "forms": [
    {
      "form": "real number systems",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "real number systems",
        "head": "extended real number system"
      },
      "expansion": "extended real number system (plural real number systems)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with topic categories using raw markup",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "en:Infinity",
        "en:Mathematics"
      ],
      "glosses": [
        "The real number system adjoined with two extra symbols: ∞ and −∞, inheriting the ordering of the real number system, and defining −∞ to be less than any real number, and ∞ to be larger than any real number."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "real number system",
          "real number system"
        ],
        [
          "adjoined",
          "adjoined"
        ],
        [
          "∞",
          "∞"
        ],
        [
          "real number",
          "real number"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The real number system adjoined with two extra symbols: ∞ and −∞, inheriting the ordering of the real number system, and defining −∞ to be less than any real number, and ∞ to be larger than any real number."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Extended real number line"
      ]
    }
  ],
  "word": "extended real number system"
}

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.