## Displaying similar documents to “On some special surfaces connected with convex surfaces of the Lobachevskij space.”

### Nonlinear stationary surface waves above an underwater ridge.

Sibirskij Matematicheskij Zhurnal

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Acta Arithmetica

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Acta Arithmetica

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Acta Arithmetica

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Acta Arithmetica

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Acta Arithmetica

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### Goffin's algorithm for zonotopes

Kybernetika

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The Löwner-John ellipse of a full-dimensional bounded convex set is a circumscribed ellipse with the property that if we shrink it by the factor $n$ (where $n$ is dimension), we obtain an inscribed ellipse. Goffin’s algorithm constructs, in polynomial time, a tight approximation of the Löwner-John ellipse of a polyhedron given by facet description. In this text we adapt the algorithm for zonotopes given by generator descriptions. We show that the adapted version works in time polynomial...

### A new Monte Carlo method for solving a stationary diffusion equation.

Siberian Mathematical Journal

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### On the number of abelian groups of a given order (supplement)

Acta Arithmetica

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1. Introduction. The aim of this paper is to supply a still better result for the problem considered in . Let A(x) denote the number of distinct abelian groups (up to isomorphism) of orders not exceeding x. We shall prove Theorem 1. For any ε > 0, $A\left(x\right)=C₁x+C₂{x}^{1/2}+C₃{x}^{1/3}+O\left({x}^{50/199+\epsilon }\right)$, where C₁, C₂ and C₃ are constants given on page 261 of . Note that 50/199=0.25125..., thus improving our previous exponent 40/159=0.25157... obtained in . To prove Theorem 1, we shall proceed along the line of approach presented...