"absolutely convergent" meaning in English

See absolutely convergent in All languages combined, or Wiktionary

Adjective

IPA: /ˌæb.səˈlut.li kənˈvɚ.d͡ʒn̩t/ [US], /ˈæb.səˌlut.li kənˈvɚ.d͡ʒn̩t/ [US]
Head templates: {{en-adj|-}} absolutely convergent (not comparable)
  1. (mathematics) Of an infinite series, convergent even if the absolute value is taken of each term; a stronger condition than ordinary convergence. Tags: not-comparable Categories (topical): Mathematics Related terms: absolute convergence, conditionally convergent Translations (Translations): absoluuttisesti suppeneva (Finnish), absolut konvergent (German)

Download JSON data for absolutely convergent meaning in English (1.9kB)

{
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "absolutely convergent (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Of an infinite series, convergent even if the absolute value is taken of each term; a stronger condition than ordinary convergence."
      ],
      "id": "en-absolutely_convergent-en-adj-Zf3HR1nJ",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "infinite series",
          "infinite series"
        ],
        [
          "convergent",
          "convergent"
        ],
        [
          "absolute value",
          "absolute value"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Of an infinite series, convergent even if the absolute value is taken of each term; a stronger condition than ordinary convergence."
      ],
      "related": [
        {
          "word": "absolute convergence"
        },
        {
          "word": "conditionally convergent"
        }
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Translations",
          "word": "absoluuttisesti suppeneva"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "word": "absolut konvergent"
        }
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/ˌæb.səˈlut.li kənˈvɚ.d͡ʒn̩t/",
      "tags": [
        "US"
      ]
    },
    {
      "ipa": "/ˈæb.səˌlut.li kənˈvɚ.d͡ʒn̩t/",
      "tags": [
        "US"
      ]
    }
  ],
  "word": "absolutely convergent"
}
{
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "absolutely convergent (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "related": [
    {
      "word": "absolute convergence"
    },
    {
      "word": "conditionally convergent"
    }
  ],
  "senses": [
    {
      "categories": [
        "English adjectives",
        "English adverb-adjective phrases",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English lemmas",
        "English multiword terms",
        "English terms with IPA pronunciation",
        "English terms with non-redundant non-automated sortkeys",
        "English uncomparable adjectives",
        "Translation table header lacks gloss",
        "en:Mathematics"
      ],
      "glosses": [
        "Of an infinite series, convergent even if the absolute value is taken of each term; a stronger condition than ordinary convergence."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "infinite series",
          "infinite series"
        ],
        [
          "convergent",
          "convergent"
        ],
        [
          "absolute value",
          "absolute value"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Of an infinite series, convergent even if the absolute value is taken of each term; a stronger condition than ordinary convergence."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/ˌæb.səˈlut.li kənˈvɚ.d͡ʒn̩t/",
      "tags": [
        "US"
      ]
    },
    {
      "ipa": "/ˈæb.səˌlut.li kənˈvɚ.d͡ʒn̩t/",
      "tags": [
        "US"
      ]
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Translations",
      "word": "absoluuttisesti suppeneva"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "word": "absolut konvergent"
    }
  ],
  "word": "absolutely convergent"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.