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Using the results presented in the previous lecture, namely the generalization of the Tsirelson's theorem [2] to mixed volumes, we calculate the mixed volume of the closed convex hulls of the two orth...
Let K be a convex compact subset of a separable Hilbert space H. One of the most important geometric characteristics of K is its intrinsic volumes. In the finitedimensionalcase (K ? R^d), the intrinsi...
We report a recent paper of Witt Nystrom, where he proved the differentiability of volume functions using deformation to the normal cone.
When two balls in a metric space have small intersection? We give some natural conditions to guarantee an exponential decay on the volume of such intersections. Our proof is conceptually simple, makin...
Tourism volume forecasting is the hot topic in tourism management, and deep learning techniques as the promising tool are becoming popular for capturing the characteristics of tourism volume data, whi...
In this talk, we discuss Y. Wei, B. Yang and T. Zhous preprint arXiv:2210.06035, in which they consider volume preserving curvature flows of smooth, closed and convex hypersurfaces in hyperbolic spac...
November 29, 2006,The Library of America, which was founded in 1979 with the goal of preserving and publishing American Literature, recently announced that they will publish a volume of Philip K. Dick...

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