"nilprogression" meaning in All languages combined

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "nil",
        "3": "progression"
      },
      "expansion": "nil + progression",
      "name": "compound"
    }
  ],
  "etymology_text": "nil + progression",
  "forms": [
    {
      "form": "nilprogressions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "nilprogression (plural nilprogressions)",
      "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"
        }
      ],
      "examples": [
        {
          "ref": "2015, Terence Tao, “Inverse theorems for sets and measures of polynomial growth”, in arXiv",
          "text": "We give a structural description of the finite subsets A of an arbitrary group G which obey the polynomial growth condition for some bounded d and sufficiently large n, showing that such sets are controlled by (a bounded number of translates of) a coset nilprogression in a certain precise sense.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A function of the products of the elements of a nilpotent group and their inverses"
      ],
      "id": "en-nilprogression-en-noun-zXCbJ1cE",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "product",
          "product"
        ],
        [
          "element",
          "element"
        ],
        [
          "nilpotent",
          "nilpotent"
        ],
        [
          "group",
          "group"
        ],
        [
          "inverse",
          "inverse"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A function of the products of the elements of a nilpotent group and their inverses"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "nilprogression"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "nil",
        "3": "progression"
      },
      "expansion": "nil + progression",
      "name": "compound"
    }
  ],
  "etymology_text": "nil + progression",
  "forms": [
    {
      "form": "nilprogressions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "nilprogression (plural nilprogressions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English compound terms",
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms with quotations",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2015, Terence Tao, “Inverse theorems for sets and measures of polynomial growth”, in arXiv",
          "text": "We give a structural description of the finite subsets A of an arbitrary group G which obey the polynomial growth condition for some bounded d and sufficiently large n, showing that such sets are controlled by (a bounded number of translates of) a coset nilprogression in a certain precise sense.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A function of the products of the elements of a nilpotent group and their inverses"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "product",
          "product"
        ],
        [
          "element",
          "element"
        ],
        [
          "nilpotent",
          "nilpotent"
        ],
        [
          "group",
          "group"
        ],
        [
          "inverse",
          "inverse"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A function of the products of the elements of a nilpotent group and their inverses"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "nilprogression"
}