"radius of convergence" meaning in All languages combined

See radius of convergence on Wiktionary

Noun [English]

Forms: radii of convergence [plural]
Head templates: {{en-noun|radii of convergence}} radius of convergence (plural radii of convergence)
  1. for a power series ∑ₙ₌₀ ᪲c_n(z-a)ⁿ, the unique number R=[0,∞] such that the sum is convergent for |z-a|R Translations (radius of open where series is convergent): konvergensradius [common-gender] (Danish)
    Sense id: en-radius_of_convergence-en-noun-bgEChpVz Categories (other): English entries with incorrect language header

Inflected forms

Download JSON data for radius of convergence meaning in All languages combined (0.9kB)

{
  "forms": [
    {
      "form": "radii of convergence",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "radii of convergence"
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      "expansion": "radius of convergence (plural radii of convergence)",
      "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"
        }
      ],
      "glosses": [
        "for a power series ∑ₙ₌₀ ᪲c_n(z-a)ⁿ, the unique number R=[0,∞] such that the sum is convergent for |z-a|R"
      ],
      "id": "en-radius_of_convergence-en-noun-bgEChpVz",
      "links": [
        [
          "power series",
          "power series"
        ]
      ],
      "translations": [
        {
          "code": "da",
          "lang": "Danish",
          "sense": "radius of open where series is convergent",
          "tags": [
            "common-gender"
          ],
          "word": "konvergensradius"
        }
      ]
    }
  ],
  "word": "radius of convergence"
}

{
  "forms": [
    {
      "form": "radii of convergence",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "radii of convergence"
      },
      "expansion": "radius of convergence (plural radii of convergence)",
      "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"
      ],
      "glosses": [
        "for a power series ∑ₙ₌₀ ᪲c_n(z-a)ⁿ, the unique number R=[0,∞] such that the sum is convergent for |z-a|R"
      ],
      "links": [
        [
          "power series",
          "power series"
        ]
      ]
    }
  ],
  "translations": [
    {
      "code": "da",
      "lang": "Danish",
      "sense": "radius of open where series is convergent",
      "tags": [
        "common-gender"
      ],
      "word": "konvergensradius"
    }
  ],
  "word": "radius of convergence"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-10 from the enwiktionary dump dated 2024-05-02 using wiktextract (a644e18 and edd475d). 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.