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By J. A. Schouten W. Van Der Kulk

In its easiest shape, the Pfaff challenge (formulated by means of Pfaff in 1819) includes making a choice on the maximal integrable manifold of a Pfaffian process, i.e. of a approach of vector fields in $R^n$. This ebook provides an answer of this challenge and discusses a number of generalizations, giving an primarily whole remedy of the idea because it was once recognized in 1949.

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