Hadwiger's theorem

proper noun

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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Meanings

proper noun
  1. geometryA 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).

Origin

Proven by Hugo Hadwiger.

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Cite this entry
APA

Hadwiger's theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Hadwiger's%20theorem

MLA

“Hadwiger's theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Hadwiger's%20theorem. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Hadwiger's theorem,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Hadwiger's%20theorem.

Source: Hadwiger's theorem on Wiktionary, CC BY-SA 4.0.