Article | REF: AF213 V1

Geometric Measure Theory

Author: Jean-Charles PINOLI

Publication date: April 10, 2016

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12. Perimeter measurements

The term perimeter refers strictly to the length of a differentiable Jordan curve of class C 1 (or even Lipchitzian), or more generally to the "area" of a (n - 1)-dimensional simple closed hyper-surface of class C 1 (or even Lipchitzian), and largo sensu to the "size" of the boundary of a subset of .

There are several notions of perimeter.

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Perimeter measurements
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