We derive recurrent formulas for obtaining minimal polynomials for values of tangents and show that Galois groups of these polynomials are commutative. Thus we give examples of equations of arbitrarily high degrees solvable ...
We prove that a partially ordered set of all computably enumerable (c. e.) degrees that are the least upper bounds of two superlow c. e. degrees is an upper semilattice not elementary equivalent to the semilattice of all ...
In this paper we propose a locally directionally maximin test which is a generalization of the locally most powerful test for the case of a multidimensional parameter. We show that for the two-dimensional Gaussian distribution ...
In this paper we develop a method for constructing a quasisolution to the inverse boundary value problem in aerohydrodynamics with a limited maximum velocity on an airfoil surface in a range of angles of attack. We reduce ...
We consider functions with a pole and a logarithmic singularity. We obtain sharp estimates for the Schwarzian and the Taylor coefficients of the holomorphic part of such functions. We also describe geometric properties of ...
In this paper we formulate a generalized filtering problem in a heterogeneous environment in the presence of a source distributed along a line. Incompressible fluids obey a multivalued law with a linear growth at infinity. ...
Let (R ik) n i,k=1 and (J ik) n i,k=1 be preference matrices in the stable matching problem and let (J ik) n i,k=1 be the measure of the mutual antipathy in the assignment problem. In this paper we describe all functions ...
We continue to develop the theory of multicategories over verbal categories. This theory includes both the usual category theory and the theory of operads, as well as a significant part of classical universal algebra. We ...
We establish necessary conditions for a vector field on the tangent bundle of a general space of paths to be an infinitesimal almost projective transformation in the case when the tensor fields determining the complexes ...
In this paper, we describe finite-dimensional homogeneously simple algebras of associative type whose 1-component is a full matrix algebra. In addition, we prove that a finite-dimensional division ring of associative type ...
In 1975 U. Haagerup stated the following question: Is every normal subadditive weight on a W *-algebra sigma-weakly lower semicontinuous? Here we positively answer this question in a particular case of abelian W *-algebras ...
We consider n messages of N blocks each, where each block is encoded by some antinoise coding method. The method can correct no more than one error. We assume that the number of errors in the ith message belongs to some ...
We develop an empirical d-a posteriori approach to estimations with uniformly minimal d-risk, when the a priori distribution is completely unknown. For a scalar parameter of a discrete exponential family we construct ...
Let G be a simply connected domain and let u(x,G) be its warping function. We prove that L p -norms of functions u and u -1 are monotone with respect to the parameter p. This monotony also gives isoperimetric inequalities ...
In this paper we review various approaches to the decomposition of total strains into elastic and nonelastic (plastic) components in the multiplicative representation of the deformation gradient tensor. We briefly describe ...
We prove that a nontrivial degree spectrum of the successor relation of either strongly η-like or non-η-like computable linear orderings is closed upwards in the class of all computably enumerable degrees. We also show ...
We obtain sufficient conditions for existence and uniqueness of a Chebyshev center of a nonempty bounded set in a geodesic space. We also establish conditions under which the unique Chebyshev center of a nonempty bounded ...
In this paper we apply the method of potentials for studying the Dirichlet and Neumann boundary-value problems for a B-elliptic equation in the form δ x″u + B xp 1u + x p -α ∂/∂x p(x p α∂u/∂x p) = 0 , where δx″ = sum p-2 ...
In this work we prove that for every pair of computably enumerable degrees a<Q b there exists a properly 2-computably enumerable degree d such that a <Q d <Q b, a isolates d from below, and b isolates d from above. Two ...