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We provide a generalization of John's representation of the identity for the maximal volume position of L inside K, where K and L are arbitrary smooth convex bodies in R n. >From this representation we obtain Banach-Mazur distance and volume ratio estimates.
Let K be an isotropic convex body in R xN are independent random points, uniformly distributed in K. We prove that if n 2 N exp(√ n) then the normalized quermaßintegrals
The TeX/LaTeX typesetting system is the most widespread system for creating documents in Mathematics and Science. However, no reliable tool exists to this day for automatically transcribing documents from the above formats into Braille code. Thus, blind students who study related fields do not have access to the bulk of studying materials available in LaTeX… (More)