alternating series in English

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{
  "forms": [
    {
      "form": "alternating series",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "alternating series"
      },
      "expansion": "alternating series (plural alternating series)",
      "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"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "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."
      ],
      "id": "en-alternating_series-en-noun-sEJT-jke",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "infinite series",
          "infinite series"
        ]
      ],
      "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"
      ],
      "wikipedia": [
        "alternating series"
      ]
    }
  ],
  "word": "alternating series"
}

[Show JSON for raw wiktextract data ▼] [Hide JSON for raw wiktextract data ▲]

{
  "forms": [
    {
      "form": "alternating series",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "alternating series"
      },
      "expansion": "alternating series (plural alternating series)",
      "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",
        "en:Mathematics"
      ],
      "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."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "infinite series",
          "infinite series"
        ]
      ],
      "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"
      ],
      "wikipedia": [
        "alternating series"
      ]
    }
  ],
  "word": "alternating series"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 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.

"alternating series" meaning in English

Noun