"cusp form" meaning in English

See cusp form in All languages combined, or Wiktionary

Noun

Forms: cusp forms [plural]
Head templates: {{en-noun}} cusp form (plural cusp forms)
  1. (mathematics) A kind of modular form with a zero constant coefficient in the Fourier series expansion. Categories (topical): Mathematics
    Sense id: en-cusp_form-en-noun-6AFV-Wex Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences

Inflected forms

Alternative forms

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  "forms": [
    {
      "form": "cusp forms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
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      "expansion": "cusp form (plural cusp forms)",
      "name": "en-noun"
    }
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  "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"
        },
        {
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          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
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          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A kind of modular form with a zero constant coefficient in the Fourier series expansion."
      ],
      "id": "en-cusp_form-en-noun-6AFV-Wex",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "modular form",
          "modular form"
        ],
        [
          "zero",
          "zero"
        ],
        [
          "constant",
          "constant"
        ],
        [
          "coefficient",
          "coefficient"
        ],
        [
          "Fourier series",
          "Fourier series"
        ],
        [
          "expansion",
          "expansion"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A kind of modular form with a zero constant coefficient in the Fourier series expansion."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "cusp form"
}
{
  "forms": [
    {
      "form": "cusp forms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "cusp form (plural cusp 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:Mathematics"
      ],
      "glosses": [
        "A kind of modular form with a zero constant coefficient in the Fourier series expansion."
      ],
      "links": [
        [
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          "mathematics"
        ],
        [
          "modular form",
          "modular form"
        ],
        [
          "zero",
          "zero"
        ],
        [
          "constant",
          "constant"
        ],
        [
          "coefficient",
          "coefficient"
        ],
        [
          "Fourier series",
          "Fourier series"
        ],
        [
          "expansion",
          "expansion"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A kind of modular form with a zero constant coefficient in the Fourier series expansion."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "cusp form"
}

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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.