"modular form" meaning in All languages combined

See modular form on Wiktionary

Noun [English]

Forms: modular forms [plural]
Head templates: {{en-noun}} modular form (plural modular forms)
  1. (mathematics) A complex analytic function satisfying a certain kind of functional equation with respect to the group action of the modular group, and also satisfying a growth condition. Categories (topical): Functions, Mathematics
    Sense id: en-modular_form-en-noun-xg--0-Rz Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences

Inflected forms

{
  "forms": [
    {
      "form": "modular forms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "modular form (plural modular forms)",
      "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": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Functions",
          "orig": "en:Functions",
          "parents": [
            "Algebra",
            "Calculus",
            "Geometry",
            "Mathematical analysis",
            "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 complex analytic function satisfying a certain kind of functional equation with respect to the group action of the modular group, and also satisfying a growth condition."
      ],
      "id": "en-modular_form-en-noun-xg--0-Rz",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "analytic function",
          "analytic function#English"
        ],
        [
          "functional equation",
          "functional equation#English"
        ],
        [
          "group action",
          "group action#English"
        ],
        [
          "modular group",
          "modular group#English"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A complex analytic function satisfying a certain kind of functional equation with respect to the group action of the modular group, and also satisfying a growth condition."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "modular form"
}
{
  "forms": [
    {
      "form": "modular forms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "modular form (plural modular forms)",
      "name": "en-noun"
    }
  ],
  "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",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Functions",
        "en:Mathematics"
      ],
      "glosses": [
        "A complex analytic function satisfying a certain kind of functional equation with respect to the group action of the modular group, and also satisfying a growth condition."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "analytic function",
          "analytic function#English"
        ],
        [
          "functional equation",
          "functional equation#English"
        ],
        [
          "group action",
          "group action#English"
        ],
        [
          "modular group",
          "modular group#English"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A complex analytic function satisfying a certain kind of functional equation with respect to the group action of the modular group, and also satisfying a growth condition."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "modular form"
}

Download raw JSONL data for modular form meaning in All languages combined (1.1kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-01-06 from the enwiktionary dump dated 2025-01-01 using wiktextract (f889f65 and 8fbd9e8). 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.