"Pythagorean field" meaning in English

See Pythagorean field in All languages combined, or Wiktionary

Noun

Forms: Pythagorean fields [plural]
Head templates: {{en-noun}} Pythagorean field (plural Pythagorean fields)
  1. (mathematics, algebra) A field in which every sum of two squares is a square. Categories (topical): Algebra, Mathematics
    Sense id: en-Pythagorean_field-en-noun-E59BTYyz Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: algebra, mathematics, sciences

Inflected forms

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  "forms": [
    {
      "form": "Pythagorean fields",
      "tags": [
        "plural"
      ]
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  "head_templates": [
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      "name": "en-noun"
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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          "source": "w"
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          "source": "w"
        },
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A field in which every sum of two squares is a square."
      ],
      "id": "en-Pythagorean_field-en-noun-E59BTYyz",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "algebra",
          "algebra"
        ],
        [
          "field",
          "field"
        ],
        [
          "sum",
          "sum"
        ],
        [
          "square",
          "square"
        ]
      ],
      "raw_glosses": [
        "(mathematics, algebra) A field in which every sum of two squares is a square."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Pythagorean field"
}
{
  "forms": [
    {
      "form": "Pythagorean fields",
      "tags": [
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      ]
    }
  ],
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  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
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        "en:Algebra",
        "en:Mathematics"
      ],
      "glosses": [
        "A field in which every sum of two squares is a square."
      ],
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          "mathematics",
          "mathematics"
        ],
        [
          "algebra",
          "algebra"
        ],
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          "field",
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        ],
        [
          "sum",
          "sum"
        ],
        [
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        ]
      ],
      "raw_glosses": [
        "(mathematics, algebra) A field in which every sum of two squares is a square."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Pythagorean field"
}

Download raw JSONL data for Pythagorean field meaning in English (0.8kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-01-08 from the enwiktionary dump dated 2025-01-01 using wiktextract (9a96ef4 and 4ed51a5). 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.