"alternating series" meaning in All languages combined

See alternating series on Wiktionary

Noun [English]

Forms: alternating series [plural]
Head templates: {{en-noun|*}} alternating series (plural alternating series)
  1. (mathematics) An infinite series in the form of ∑ₙ₌₀ ᪲(-1)ⁿa_n or ∑ₙ₌₀ ᪲(-1)ⁿ⁺¹a_n, where a_n>0 for all n. Derived forms: alternating series test Translations (alternating series): serie alternada [feminine] (Asturian), sèrie alternada [feminine] (Catalan), série alternée [feminine] (French), serie alternada [feminine] (Galician), serie alterna [feminine] (Galician), serie alternata [feminine] (Italian), serie a segni alterni [feminine] (Italian), série alternada [feminine] (Portuguese), serie alternante [feminine] (Spanish)
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      "form": "alternating series",
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  "lang_code": "en",
  "pos": "noun",
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          "name": "Mathematics",
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        }
      ],
      "derived": [
        {
          "word": "alternating series test"
        }
      ],
      "glosses": [
        "An infinite series in the form of ∑ₙ₌₀ ᪲(-1)ⁿa_n or ∑ₙ₌₀ ᪲(-1)ⁿ⁺¹a_n, where a_n>0 for all n."
      ],
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      "raw_glosses": [
        "(mathematics) An infinite series in the form of ∑ₙ₌₀ ᪲(-1)ⁿa_n or ∑ₙ₌₀ ᪲(-1)ⁿ⁺¹a_n, where a_n>0 for all n."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "ast",
          "lang": "Asturian",
          "lang_code": "ast",
          "sense": "alternating series",
          "tags": [
            "feminine"
          ],
          "word": "serie alternada"
        },
        {
          "code": "ca",
          "lang": "Catalan",
          "lang_code": "ca",
          "sense": "alternating series",
          "tags": [
            "feminine"
          ],
          "word": "sèrie alternada"
        },
        {
          "code": "fr",
          "lang": "French",
          "lang_code": "fr",
          "sense": "alternating series",
          "tags": [
            "feminine"
          ],
          "word": "série alternée"
        },
        {
          "code": "gl",
          "lang": "Galician",
          "lang_code": "gl",
          "sense": "alternating series",
          "tags": [
            "feminine"
          ],
          "word": "serie alternada"
        },
        {
          "code": "gl",
          "lang": "Galician",
          "lang_code": "gl",
          "sense": "alternating series",
          "tags": [
            "feminine"
          ],
          "word": "serie alterna"
        },
        {
          "code": "it",
          "lang": "Italian",
          "lang_code": "it",
          "sense": "alternating series",
          "tags": [
            "feminine"
          ],
          "word": "serie alternata"
        },
        {
          "code": "it",
          "lang": "Italian",
          "lang_code": "it",
          "sense": "alternating series",
          "tags": [
            "feminine"
          ],
          "word": "serie a segni alterni"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "lang_code": "pt",
          "sense": "alternating series",
          "tags": [
            "feminine"
          ],
          "word": "série alternada"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "lang_code": "es",
          "sense": "alternating series",
          "tags": [
            "feminine"
          ],
          "word": "serie alternante"
        }
      ]
    }
  ],
  "word": "alternating series"
}
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  "derived": [
    {
      "word": "alternating series test"
    }
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  "forms": [
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      ],
      "glosses": [
        "An infinite series in the form of ∑ₙ₌₀ ᪲(-1)ⁿa_n or ∑ₙ₌₀ ᪲(-1)ⁿ⁺¹a_n, where a_n>0 for all n."
      ],
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      "raw_glosses": [
        "(mathematics) An infinite series in the form of ∑ₙ₌₀ ᪲(-1)ⁿa_n or ∑ₙ₌₀ ᪲(-1)ⁿ⁺¹a_n, where a_n>0 for all n."
      ],
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        "mathematics",
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    }
  ],
  "translations": [
    {
      "code": "ast",
      "lang": "Asturian",
      "lang_code": "ast",
      "sense": "alternating series",
      "tags": [
        "feminine"
      ],
      "word": "serie alternada"
    },
    {
      "code": "ca",
      "lang": "Catalan",
      "lang_code": "ca",
      "sense": "alternating series",
      "tags": [
        "feminine"
      ],
      "word": "sèrie alternada"
    },
    {
      "code": "fr",
      "lang": "French",
      "lang_code": "fr",
      "sense": "alternating series",
      "tags": [
        "feminine"
      ],
      "word": "série alternée"
    },
    {
      "code": "gl",
      "lang": "Galician",
      "lang_code": "gl",
      "sense": "alternating series",
      "tags": [
        "feminine"
      ],
      "word": "serie alternada"
    },
    {
      "code": "gl",
      "lang": "Galician",
      "lang_code": "gl",
      "sense": "alternating series",
      "tags": [
        "feminine"
      ],
      "word": "serie alterna"
    },
    {
      "code": "it",
      "lang": "Italian",
      "lang_code": "it",
      "sense": "alternating series",
      "tags": [
        "feminine"
      ],
      "word": "serie alternata"
    },
    {
      "code": "it",
      "lang": "Italian",
      "lang_code": "it",
      "sense": "alternating series",
      "tags": [
        "feminine"
      ],
      "word": "serie a segni alterni"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "lang_code": "pt",
      "sense": "alternating series",
      "tags": [
        "feminine"
      ],
      "word": "série alternada"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "lang_code": "es",
      "sense": "alternating series",
      "tags": [
        "feminine"
      ],
      "word": "serie alternante"
    }
  ],
  "word": "alternating series"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2026-08-28 from the enwiktionary dump dated 2026-08-05 using wiktextract (872fc7b and 4deed51). 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.