"ℝ" meaning in All languages combined

See ℝ on Wiktionary

Noun [Translingual]

Etymology: In Stetigkeit und irrationale Zahlen (1872) Richard Dedekind uses R to denote rational numbers and ℜ to denote real numbers. The usage of blackboard bold dates to the 1960s. Head templates: {{head|mul|symbol|sc=Zmth}} ℝ
  1. (mathematics) The set of real numbers. Categories (topical): Mathematics
    Sense id: en-ℝ-mul-noun-l-WfL1mq Topics: mathematics, sciences
  2. (mathematics) This set, equipped with any of its standard structure; the real line. Categories (topical): Mathematics
    Sense id: en-ℝ-mul-noun-WrKcbwoK Categories (other): Translingual entries with incorrect language header, Translingual terms with non-redundant manual script codes Disambiguation of Translingual entries with incorrect language header: 17 83 Disambiguation of Translingual terms with non-redundant manual script codes: 22 78 Topics: mathematics, sciences
The following are not (yet) sense-disambiguated
Derived forms: ℝ-order tree [English]

Download JSON data for ℝ meaning in All languages combined (1.9kB)

{
  "derived": [
    {
      "_dis1": "0 0",
      "tags": [
        "English"
      ],
      "word": "ℝ-order tree"
    }
  ],
  "etymology_text": "In Stetigkeit und irrationale Zahlen (1872) Richard Dedekind uses R to denote rational numbers and ℜ to denote real numbers. The usage of blackboard bold dates to the 1960s.",
  "head_templates": [
    {
      "args": {
        "1": "mul",
        "2": "symbol",
        "sc": "Zmth"
      },
      "expansion": "ℝ",
      "name": "head"
    }
  ],
  "lang": "Translingual",
  "lang_code": "mul",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "mul",
          "name": "Mathematics",
          "orig": "mul:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The set of real numbers."
      ],
      "id": "en-ℝ-mul-noun-l-WfL1mq",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "set",
          "set"
        ],
        [
          "real numbers",
          "real numbers"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The set of real numbers."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "mul",
          "name": "Mathematics",
          "orig": "mul:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "17 83",
          "kind": "other",
          "name": "Translingual entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "22 78",
          "kind": "other",
          "name": "Translingual terms with non-redundant manual script codes",
          "parents": [
            "Terms with non-redundant manual script codes",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "This set, equipped with any of its standard structure; the real line."
      ],
      "id": "en-ℝ-mul-noun-WrKcbwoK",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "structure",
          "structure"
        ],
        [
          "real line",
          "real line"
        ]
      ],
      "raw_glosses": [
        "(mathematics) This set, equipped with any of its standard structure; the real line."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "wikipedia": [
    "Richard Dedekind"
  ],
  "word": "ℝ"
}
{
  "categories": [
    "Translingual entries with incorrect language header",
    "Translingual lemmas",
    "Translingual symbols",
    "Translingual terms with non-redundant manual script codes"
  ],
  "derived": [
    {
      "tags": [
        "English"
      ],
      "word": "ℝ-order tree"
    }
  ],
  "etymology_text": "In Stetigkeit und irrationale Zahlen (1872) Richard Dedekind uses R to denote rational numbers and ℜ to denote real numbers. The usage of blackboard bold dates to the 1960s.",
  "head_templates": [
    {
      "args": {
        "1": "mul",
        "2": "symbol",
        "sc": "Zmth"
      },
      "expansion": "ℝ",
      "name": "head"
    }
  ],
  "lang": "Translingual",
  "lang_code": "mul",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "mul:Mathematics"
      ],
      "glosses": [
        "The set of real numbers."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "set",
          "set"
        ],
        [
          "real numbers",
          "real numbers"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The set of real numbers."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "mul:Mathematics"
      ],
      "glosses": [
        "This set, equipped with any of its standard structure; the real line."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "structure",
          "structure"
        ],
        [
          "real line",
          "real line"
        ]
      ],
      "raw_glosses": [
        "(mathematics) This set, equipped with any of its standard structure; the real line."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "wikipedia": [
    "Richard Dedekind"
  ],
  "word": "ℝ"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-03 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.