"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), radio de convergencia [masculine] (Spanish)
    Sense id: en-radius_of_convergence-en-noun-5MtXZozI Categories (other): English entries with incorrect language header, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with Danish translations, Terms with Spanish translations

Inflected forms

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  "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": [],
          "source": "w"
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          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Spanish translations",
          "parents": [],
          "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-5MtXZozI",
      "links": [
        [
          "power series",
          "power series"
        ]
      ],
      "translations": [
        {
          "code": "da",
          "lang": "Danish",
          "sense": "radius of open where series is convergent",
          "tags": [
            "common-gender"
          ],
          "word": "konvergensradius"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "radius of open where series is convergent",
          "tags": [
            "masculine"
          ],
          "word": "radio de convergencia"
        }
      ]
    }
  ],
  "word": "radius of convergence"
}

{
  "forms": [
    {
      "form": "radii of convergence",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with Danish translations",
        "Terms with Spanish translations"
      ],
      "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"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "radius of open where series is convergent",
      "tags": [
        "masculine"
      ],
      "word": "radio de convergencia"
    }
  ],
  "word": "radius of convergence"
}

Download raw JSONL data for radius of convergence 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 2025-06-01 from the enwiktionary dump dated 2025-05-20 using wiktextract (3dadd05 and f1c2b61). 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.

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