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Moebius Beats: The Twisted Spaces of Sliding Window Audio Novelty Functions with Rhythmic Subdivisions
functions (ANFs) representing songs with rhythmic subdivisions concentrate on the boundary of non-orientable surfaces such as the Moebius strip. This insight provides a radically different topological approach to classifying ...
Complex analysis and a class of Weingarten surfaces
An idea of Hopf's for applying complex analysis to the study of constant mean curvature spheres is generalized to cover a wider class of spheres, namely, those satisfying a Weingarten relation of a certain type, namely H ...