Camille Jordan developed bounded variation as part of his work in real analysis; his treatment of functions and arc length was part of the influence of his analysis textbooks.[ref] The Jordan decomposition of a function of bounded variation expresses the underlying idea especially well: complicated changes of direction can be separated into two functions that only increase.

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  1. Total variation of a function
  2. Riemann integration
  3. Real analysis
  4. Analysis
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