"AM-GM Inequality" meaning in All languages combined

See AM-GM Inequality on Wiktionary

Proper name [English]

Forms: AM-GM inequality [alternative]
Etymology: From arithmetic mean – geometric mean inequality. Head templates: {{en-proper noun}} AM-GM Inequality
  1. The fact that the arithmetic mean of nonnegative numbers is not less than their geometric mean, and is more if some of the numbers are distinct.
    Sense id: en-AM-GM_Inequality-en-name-lcsE-0Jn Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries
     
{
  "etymology_text": "From arithmetic mean – geometric mean inequality.",
  "forms": [
    {
      "form": "AM-GM inequality",
      "tags": [
        "alternative"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "AM-GM Inequality",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "The fact that the arithmetic mean of nonnegative numbers is not less than their geometric mean, and is more if some of the numbers are distinct."
      ],
      "id": "en-AM-GM_Inequality-en-name-lcsE-0Jn",
      "links": [
        [
          "arithmetic mean",
          "arithmetic mean"
        ],
        [
          "nonnegative",
          "nonnegative"
        ],
        [
          "number",
          "number"
        ],
        [
          "less",
          "less"
        ],
        [
          "geometric mean",
          "geometric mean"
        ],
        [
          "more",
          "more"
        ],
        [
          "distinct",
          "distinct"
        ]
      ]
    }
  ],
  "word": "AM-GM Inequality"
}

{
  "etymology_text": "From arithmetic mean – geometric mean inequality.",
  "forms": [
    {
      "form": "AM-GM inequality",
      "tags": [
        "alternative"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "AM-GM Inequality",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English proper nouns",
        "English uncountable nouns",
        "Pages with 1 entry",
        "Pages with entries"
      ],
      "glosses": [
        "The fact that the arithmetic mean of nonnegative numbers is not less than their geometric mean, and is more if some of the numbers are distinct."
      ],
      "links": [
        [
          "arithmetic mean",
          "arithmetic mean"
        ],
        [
          "nonnegative",
          "nonnegative"
        ],
        [
          "number",
          "number"
        ],
        [
          "less",
          "less"
        ],
        [
          "geometric mean",
          "geometric mean"
        ],
        [
          "more",
          "more"
        ],
        [
          "distinct",
          "distinct"
        ]
      ]
    }
  ],
  "word": "AM-GM Inequality"
}

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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 2025-02-26 from the enwiktionary dump dated 2025-02-21 using wiktextract (ce0be54 and f2e72e5). 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.

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