"nonstandard number" meaning in English

See nonstandard number in All languages combined, or Wiktionary

Noun

Forms: nonstandard numbers [plural]
Head templates: {{en-noun}} nonstandard number (plural nonstandard numbers)
  1. (mathematical analysis, nonstandard analysis) A hyperreal number which is not a real number. Categories (topical): Mathematical analysis Hyponyms: infinitesimal, unlimited, nonstandard appreciable
    Sense id: en-nonstandard_number-en-noun-oDKYo8S7 Categories (other): English entries with incorrect language header Topics: mathematical-analysis, mathematics, sciences

Inflected forms

Download JSON data for nonstandard number meaning in English (1.2kB)

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  "forms": [
    {
      "form": "nonstandard numbers",
      "tags": [
        "plural"
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    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "nonstandard number (plural nonstandard numbers)",
      "name": "en-noun"
    }
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  "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": "Mathematical analysis",
          "orig": "en:Mathematical analysis",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A hyperreal number which is not a real number."
      ],
      "hyponyms": [
        {
          "word": "infinitesimal"
        },
        {
          "word": "unlimited"
        },
        {
          "word": "nonstandard appreciable"
        }
      ],
      "id": "en-nonstandard_number-en-noun-oDKYo8S7",
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "hyperreal number",
          "hyperreal number"
        ],
        [
          "real number",
          "real number"
        ]
      ],
      "qualifier": "nonstandard analysis",
      "raw_glosses": [
        "(mathematical analysis, nonstandard analysis) A hyperreal number which is not a real number."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "nonstandard number"
}
{
  "forms": [
    {
      "form": "nonstandard numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "nonstandard number (plural nonstandard numbers)",
      "name": "en-noun"
    }
  ],
  "hyponyms": [
    {
      "word": "infinitesimal"
    },
    {
      "word": "unlimited"
    },
    {
      "word": "nonstandard appreciable"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Mathematical analysis"
      ],
      "glosses": [
        "A hyperreal number which is not a real number."
      ],
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "hyperreal number",
          "hyperreal number"
        ],
        [
          "real number",
          "real number"
        ]
      ],
      "qualifier": "nonstandard analysis",
      "raw_glosses": [
        "(mathematical analysis, nonstandard analysis) A hyperreal number which is not a real number."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "nonstandard number"
}

This page is a part of the kaikki.org machine-readable English 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.