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- W2012113345 abstract "Hadwiger’s Theorem states that En-invariant convex-continuous valuations of definable sets in Rn are linear combinations of intrinsic volumes. We lift this result from sets to data distributions over sets, specifically, to definable R-valued functions on Rn. This generalizes intrinsic volumes to (dual pairs of) non-linear valuations on functions and provides a dual pair of Hadwiger classification theorems." @default.
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- W2012113345 date "2013-10-01" @default.
- W2012113345 modified "2023-09-23" @default.
- W2012113345 title "Hadwiger’s Theorem for definable functions" @default.
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- W2012113345 doi "https://doi.org/10.1016/j.aim.2013.07.001" @default.
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