Stokes’ Theorem for Hypergestures
As singular homology is strongly related to de Rham cohomology, in particular by Stokes’ classical theorem, it is natural to ask for such a theorem in our context of hypergestures. But there is a deeper reason for such a project, namely the idea that music theory of hypergestures could provide us with models of energy exchange in gestural interaction. In such a (still hypothetical) theory, Stokes’ theorem would play a crucial role regarding questions of energy conservation (integral invariants).
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