"convergent series" meaning in All languages combined

See convergent series on Wiktionary

Noun [English]

Forms: convergent series [plural]
Head templates: {{en-noun|convergent series}} convergent series (plural convergent series)
  1. (mathematical analysis) An infinite series whose partial sums converge. Categories (topical): Mathematical analysis Translations (convergent series): série convergente [feminine] (French), konvergente Reihe [feminine] (German), 収束級数 (shūsokukyūsū) (Japanese), konvergentni red [masculine] (Serbo-Croatian), palapit na dalayray (Tagalog)
    Sense id: en-convergent_series-en-noun-RuVZjIJA Categories (other): English entries with incorrect language header Topics: mathematical-analysis, mathematics, sciences

Download JSON data for convergent series meaning in All languages combined (1.7kB)

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  "forms": [
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  "head_templates": [
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      "expansion": "convergent series (plural convergent series)",
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "antonyms": [
        {
          "word": "divergent series"
        }
      ],
      "categories": [
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          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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          "orig": "en:Mathematical analysis",
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            "Formal sciences",
            "Sciences",
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      "glosses": [
        "An infinite series whose partial sums converge."
      ],
      "id": "en-convergent_series-en-noun-RuVZjIJA",
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        [
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        ],
        [
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          "converge"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) An infinite series whose partial sums converge."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fr",
          "lang": "French",
          "sense": "convergent series",
          "tags": [
            "feminine"
          ],
          "word": "série convergente"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "convergent series",
          "tags": [
            "feminine"
          ],
          "word": "konvergente Reihe"
        },
        {
          "code": "ja",
          "lang": "Japanese",
          "roman": "shūsokukyūsū",
          "sense": "convergent series",
          "word": "収束級数"
        },
        {
          "code": "sh",
          "lang": "Serbo-Croatian",
          "sense": "convergent series",
          "tags": [
            "masculine"
          ],
          "word": "konvergentni red"
        },
        {
          "code": "tl",
          "lang": "Tagalog",
          "sense": "convergent series",
          "word": "palapit na dalayray"
        }
      ]
    }
  ],
  "word": "convergent series"
}
{
  "forms": [
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      "form": "convergent series",
      "tags": [
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
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      ],
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      "raw_glosses": [
        "(mathematical analysis) An infinite series whose partial sums converge."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "fr",
      "lang": "French",
      "sense": "convergent series",
      "tags": [
        "feminine"
      ],
      "word": "série convergente"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "convergent series",
      "tags": [
        "feminine"
      ],
      "word": "konvergente Reihe"
    },
    {
      "code": "ja",
      "lang": "Japanese",
      "roman": "shūsokukyūsū",
      "sense": "convergent series",
      "word": "収束級数"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "convergent series",
      "tags": [
        "masculine"
      ],
      "word": "konvergentni red"
    },
    {
      "code": "tl",
      "lang": "Tagalog",
      "sense": "convergent series",
      "word": "palapit na dalayray"
    }
  ],
  "word": "convergent series"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-09 from the enwiktionary dump dated 2024-05-02 using wiktextract (4d5d0bb 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.