Hadwiger's theorem in English

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  "etymology_text": "Proven by Hugo Hadwiger.",
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        "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)."
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        "(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)."
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      "wikipedia": [
        "Hadwiger's theorem"
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  "word": "Hadwiger's theorem"
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{
  "etymology_text": "Proven by Hugo Hadwiger.",
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        "Pages with entries",
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      ],
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        "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": [
        [
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        "(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)."
      ],
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        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Hadwiger's theorem"
      ]
    }
  ],
  "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 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). 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