Gas-dynamic calculation of pulsating flow in pipelines

A numerical solution is examined for a system of equations of one-dimensional isothermal flow of a perfect gas in a horizontal pipe with a periodically varying function of the flow rate at the boundary. The numerical solution is compared with the solution of the linearized problem. The results can be used to calculate the pulsating motion of gas in the pipeline systems of piston compressors [1].Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 4, pp. 85–88, July–August, 1972.     

Antiozonant activity of the silica modified with 3d metal complexes

Criteria for preliminary selection of the antiozonants based on the silica modified with the complexes of 3d metal were proposed and the activity of the antiozonants as a dependence on the nature of the ligands (Schiff bases, Cl^?, NO ₃ ^? ) and metal ions [Cu(II), Co(II), Mn(II)] was established. We found that advantageous were complexes MnL₂/ $\overline {Si} $ , where L denotes a Schiff base of phenol or quinoline series, whose kinetic and specific stoichiometric energy parameters of the reaction were the largest because of the formation during the reaction of the manganese oxide form which performs the catalytic decomposition of ozone.     

High Resolution Scanning Tunneling Microscopy of a 1D Coordination Polymer with Imidazole‐Based N,N,O Ligands on HOPG

Novel κ³‐N,N,O ligands tend to form 1D coordination polymer strands. Deposition of 1D structures on highly oriented pyrolytic graphite (HOPG) was achieved from diluted solutions and polymer strands have been studied on HOPG by AFM/STM. Single strands were mapped by STM and their electronic properties were subsequently characterized by current imaging tunneling spectroscopy (CITS). Periodic density functional calculations simulating a polymer strand deposited on a HOPG surface are in agreement with the zig‐zag structure indicated by experimental findings. Both the observed periodicity and the Zn–Zn distances can be reproduced in the simulations. Van der Waals interactions were found to play a major role for the geometry of the isolated polymer strand, for the adsorption geometry on HOPG, as well as for the adsorption energy.     

Convergence of integrals with respect to L0-valued measures

Translated from Matematicheskie Zametki, Vol. 53, No. 5, pp. 102–106, May, 1993.     

The stress—strain state of soft shells of arbitrary shape

A procedure is proposed for determining the stress—strain state of soft shells of arbitrary shape. The stressed state is analyzed for a hemispherical shell with a slot which is fixed along the contour. The stress concentration ratio is determined.Moscow. Translated from Dinamicheskie Sistemy, No. 10, pp. 34–41, 1992.     

The Radon-Nikodym theorem for random measures

Translated from Ukrainskii Materaaticheskii Zhurnal, Vol. 41, No. 1, pp. 63–67, January, 1989.     

Contravariant densities, complete distancesand relative fidelities for quantum channels

Introducing contravariant trace densities for quantum states, we restore one-to-one correspondencebetween quantum operations described by normal CP maps and their trace densities as Hermitian-positive operator-valued contravariant kernels. The CB-norm distance between two quantum operations is explicitly expressed in terms of these densities as the supremum over the input states. A larger C-distance is given as the natural norm distance for the channel densities, and another, Helinger type complete distance (CH distance), related to the minimax mean square fidelity optimization problem by purification of quantum channels, is also introduced and evaluated in terms of their contravariant trace densities. It is proved that the CH distance between two channels is equivalent to the CB distance. An operational meaning for these distances and relative complete fidelity for quantum channels is given in terms of quantum encodings producing optimal entanglements of quantum states for an opposite and output systems.