"Gowers norm" meaning in English

{
  "etymology_text": "Named after Timothy Gowers, who introduced the concept in his work on Szemerédi's theorem.",
  "forms": [
    {
      "form": "Gowers norms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Gowers norm (plural Gowers norms)",
      "name": "en-noun"
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  "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"
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          "source": "w"
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          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "In the field of additive combinatorics, a class of norms on functions on a finite group or group-like object which quantify the amount of structure or randomness present."
      ],
      "id": "en-Gowers_norm-en-noun-Fho9ODYv",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "additive combinatorics",
          "additive combinatorics"
        ],
        [
          "class",
          "class"
        ],
        [
          "norm",
          "norm"
        ],
        [
          "function",
          "function"
        ],
        [
          "finite",
          "finite"
        ],
        [
          "group",
          "group"
        ],
        [
          "quantify",
          "quantify"
        ],
        [
          "structure",
          "structure"
        ],
        [
          "randomness",
          "randomness"
        ]
      ],
      "raw_glosses": [
        "(mathematics) In the field of additive combinatorics, a class of norms on functions on a finite group or group-like object which quantify the amount of structure or randomness present."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Gowers norm"
}

{
  "etymology_text": "Named after Timothy Gowers, who introduced the concept in his work on Szemerédi's theorem.",
  "forms": [
    {
      "form": "Gowers norms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Gowers norm (plural Gowers norms)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
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        "Pages with entries",
        "en:Mathematics"
      ],
      "glosses": [
        "In the field of additive combinatorics, a class of norms on functions on a finite group or group-like object which quantify the amount of structure or randomness present."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "additive combinatorics",
          "additive combinatorics"
        ],
        [
          "class",
          "class"
        ],
        [
          "norm",
          "norm"
        ],
        [
          "function",
          "function"
        ],
        [
          "finite",
          "finite"
        ],
        [
          "group",
          "group"
        ],
        [
          "quantify",
          "quantify"
        ],
        [
          "structure",
          "structure"
        ],
        [
          "randomness",
          "randomness"
        ]
      ],
      "raw_glosses": [
        "(mathematics) In the field of additive combinatorics, a class of norms on functions on a finite group or group-like object which quantify the amount of structure or randomness present."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Gowers norm"
}