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Extending the Algebraic Manipulability of Differentials

2018/01/26 by Jonathan Bartlett, Asatur Zh. Khurshudyan · 4 voices
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Abstract

Treating differentials as independent algebraic units have a long history of use and abuse. It is generally considered problematic to treat the derivative as a fraction of differentials rather than as a holistic unit acting as a limit, though for practical reasons it is often done for the first derivative. However, using a revised notation for the second and higher derivatives will allow for the ability to treat differentials as independent units for a much larger number of cases.

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