Hadwiger's theorem in English

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{
  "etymology_text": "Proven by Hugo Hadwiger.",
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      "glosses": [
        "A theorem asserting that every valuation on convex bodies in Rⁿ that is continuous and invariant under rigid motions of Rⁿ is a linear combination of the quermassintegrals (or, equivalently, of the intrinsic volumes)."
      ],
      "id": "en-Hadwiger's_theorem-en-name-eTLLetBg",
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          "combination",
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        [
          "quermassintegral",
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        ]
      ],
      "raw_glosses": [
        "(geometry) A theorem asserting that every valuation on convex bodies in Rⁿ that is continuous and invariant under rigid motions of Rⁿ is a linear combination of the quermassintegrals (or, equivalently, of the intrinsic volumes)."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Hadwiger's theorem"
}

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{
  "etymology_text": "Proven by Hugo Hadwiger.",
  "head_templates": [
    {
      "args": {},
      "expansion": "Hadwiger's theorem",
      "name": "en-proper noun"
    }
  ],
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  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
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        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
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        "Pages with 1 entry",
        "Pages with entries",
        "en:Geometry"
      ],
      "glosses": [
        "A theorem asserting that every valuation on convex bodies in Rⁿ that is continuous and invariant under rigid motions of Rⁿ is a linear combination of the quermassintegrals (or, equivalently, of the intrinsic volumes)."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "valuation",
          "valuation"
        ],
        [
          "convex",
          "convex"
        ],
        [
          "bodies",
          "body"
        ],
        [
          "continuous",
          "continuous"
        ],
        [
          "invariant",
          "invariant"
        ],
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          "rigid",
          "rigid"
        ],
        [
          "motion",
          "motion"
        ],
        [
          "linear",
          "linear"
        ],
        [
          "combination",
          "combination"
        ],
        [
          "quermassintegral",
          "quermassintegral"
        ]
      ],
      "raw_glosses": [
        "(geometry) A theorem asserting that every valuation on convex bodies in Rⁿ that is continuous and invariant under rigid motions of Rⁿ is a linear combination of the quermassintegrals (or, equivalently, of the intrinsic volumes)."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Hadwiger's theorem"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2026-09-09 from the enwiktionary dump dated 2026-09-02 using wiktextract (ccec6f1 and 4deed51). 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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"Hadwiger's theorem" meaning in English

Proper name