"arithmetic-geometric mean" meaning in All languages combined

See arithmetic-geometric mean on Wiktionary

Noun [English]

Forms: arithmetic-geometric means [plural]
Head templates: {{en-noun}} arithmetic-geometric mean (plural arithmetic-geometric means)
  1. (mathematics) A mean of two numbers which is the common limit of a pair of sequences, whose terms are defined by taking the arithmetic and geometric means of the previous pair of terms. Wikipedia link: arithmetic-geometric mean Categories (topical): Mathematics
    Sense id: en-arithmetic-geometric_mean-en-noun-TTZ5EBgh Categories (other): English entries with incorrect language header Topics: mathematics, sciences

Inflected forms

Download JSON data for arithmetic-geometric mean meaning in All languages combined (1.3kB)

{
  "forms": [
    {
      "form": "arithmetic-geometric means",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "arithmetic-geometric mean (plural arithmetic-geometric means)",
      "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": [
        "A mean of two numbers which is the common limit of a pair of sequences, whose terms are defined by taking the arithmetic and geometric means of the previous pair of terms."
      ],
      "id": "en-arithmetic-geometric_mean-en-noun-TTZ5EBgh",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "mean",
          "mean#English"
        ],
        [
          "limit",
          "limit#English"
        ],
        [
          "sequences",
          "sequence#English"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A mean of two numbers which is the common limit of a pair of sequences, whose terms are defined by taking the arithmetic and geometric means of the previous pair of terms."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "arithmetic-geometric mean"
      ]
    }
  ],
  "word": "arithmetic-geometric mean"
}
{
  "forms": [
    {
      "form": "arithmetic-geometric means",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "arithmetic-geometric mean (plural arithmetic-geometric means)",
      "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": [
        "A mean of two numbers which is the common limit of a pair of sequences, whose terms are defined by taking the arithmetic and geometric means of the previous pair of terms."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "mean",
          "mean#English"
        ],
        [
          "limit",
          "limit#English"
        ],
        [
          "sequences",
          "sequence#English"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A mean of two numbers which is the common limit of a pair of sequences, whose terms are defined by taking the arithmetic and geometric means of the previous pair of terms."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "arithmetic-geometric mean"
      ]
    }
  ],
  "word": "arithmetic-geometric mean"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-20 from the enwiktionary dump dated 2024-05-02 using wiktextract (1d5a7d1 and 304864d). 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.