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arxiv: 1806.07945 · v1 · pith:AHMG5UVSnew · submitted 2018-05-29 · 🧮 math.CA · math.LO

Rectifiability and finite variation

classification 🧮 math.CA math.LO
keywords variationcomputeddirectioneveryfinitelengthmathbfonly
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We show that the length of a path in $ \mathbf{R}^2 $ can be computed if and only if its variation in every direction can.

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