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A continuous business form including a series of connected blanks, adapted to be subsequently processed into combination mailing envelopes and return envelopes having common back ply panels, is… (More)

- Efim D. Gluskin
- 1989

It is proved that the distribution function for the maximum of the modulus of a set of jointly Gaussian random variables with given variance and zero mean is minimal if these variables are… (More)

- Efim D. Gluskin
- 1981

A package of a hose of flexible material which comprises a succession of folded sections of flexible hose material superposed on one another to form a package having an inner section with an inner… (More)

- Efim D. Gluskin
- 1981

The vertex index of a symmetric convex body \(\mathbf{K} \subset {\mathbb{R}}^{n}\), vein(K), was introduced in [Bezdek, Litvak, Adv. Math. 215, 626–641 (2007)]. Bounds on the vertex index were given… (More)

A long-standing conjecture states that all normalized symplectic capacities coincide on the class of convex subsets of ${\mathbb R}^{2n}$. In this note we focus on an asymptotic (in the dimension)… (More)

- Efim D. Gluskin
- 1984

Precise orders are given for the Kolmogorov and linear widths of the unit ball of the space in the metric of for . The determination of the upper estimates is based on approximation by random… (More)

In this note, we show that a nondegenerated polytope in IRn with n + k, 1 ≤ k < n, vertices is far from any symmetric body. We provide the asymptotically sharp estimates for the asymmetry constant of… (More)

- Efim D. Gluskin
- 1986