We provide a reformulation of the hyperplane conjecture (the slicing problem) in terms of the floating body and give upper and lower bounds on the logarithmic Hausdorff distance between an arbitrary convex body $K\subset \mathbb{R}^{d}$\ and the convex floating body $K_{\delta}$ inside $K$.
Extremal Banach-Mazur distance between a symmetric convex body and an arbitrary convex body on the plane
Topological Poincaré type inequalities and lower bounds on the infimum of the spectrum for graphs
Upper and Lower Bounds for Kronecker Constants of Three-Element Sets of Integers
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