On ε-optimal continuous selectors and their application in discounted dynamic programming

A quadratic regulator problem for a class of nonlinear systems is considered in which the control cost is multiplied by a small parameter, which becomes a so-called cheap control problem. Conditions are found under which the minimum cost becomes zero (perfect regulation) and the linear part in the optimal control law becomes dominant as the small parameter goes to zero. Near optimality of control laws truncated from the optimal control law in series form is also found.     

The evolution of stochastic strategies in the Prisoner's Dilemma

The evolution of reactive strategies for repeated 2×2-games occurring in biology is investigated by means of an adaptive dynamics.     

Viscoplastic flow of functional cellular materials with use of peridynamics

Meccanica - The subject of the study is the deformation of the oxygen-free high conductivity copper. The copper sample is given in the form of a foam. The sample undergoes an impact into an elastic...     

The module theory of semisymmetric quasigroups,totally symmetric quasigroups,and triple systems

Journal of Algebraic Combinatorics - This paper initiates a unified module theory for four varieties of quasigroups: semisymmetric, semisymmetric idempotent, totally symmetric, and totally...     

Potential measurements by an emissive probe in a magnetized plasma

We find that the probe potential determined from the intersection between the characteristics of a usual cold and an emissive probe is equal to the plasma potential. In a magnetized plasma the emissive floating potential method is still useful.     

Scattering of slow neutrons by bound nuclei

TheT-operator for scattering of slow neutrons by a system of bound nuclei is calculated up to quadratic terms in the scattering length. Binding effects as well as effects of multiple scattering have to be included in order to avoid inconsistencies. For the discussion of binding effects one can adopt methods developed by Dietze and Nowak [1] for treating scattering by an elastically bound nucleus. In particular the case of coherent elastic scattering is discussed: we show how the corrections can be expressed in terms of correlation functions and that binding effects are most important for scattering by light nuclei.     

The influence of iodine on the radiolysis of purex solvent

The effect of iodine on the radiolysis of TBP-dodecane-HNO₃ systems and the same systems containing the uranium, zirconium and palladium salts was examined. The results obtained indicate that the effect of iodine on the radiolysis products in the systems with and without uranium salt is similar. It has been found also that the effect of iodine on the retention of uranium and zirconium in organic phase depends on nitric acid concentration and is particularly high in the systems with low concentrations of HNO₃ containing uranium salt.     

Eine explizite Abschätzung für die Gitter-Diskrepanz von Rotationsellipsoiden

An explicit estimate for the lattice point discrepancy of ellipsoids of rotation. For the lattice point discrepancy (i.e., the number of integer points minus the volume) of the ellipsoid (u ₁ ² + u ₂ ²)/a + a ² u ₃ ² ≤ x (a, x > 0), this paper provides an estimate of the form terms of smaller order in x. Die Autoren danken dem ?sterreichischen Fonds zur F?rderung der wissenschaftlichen Forschung (FWF) für finanzielle Unterstützung unter der Projekt-Nr. P18079-N12.     

Photo-induced chemical reduction of silver bromide to silver nanoparticles

This paper discusses the experimental results of the production of nanocolloidal silver using photoreduction method. Ultrafine crystalline gelatine-stabilised aqueous suspensions of silver bromide were used as a substrate for the synthesis of silver nanoparticles (Ag NPs). The influences of the reductant to substrate molar ratio, the medium’s pH, the type of the source of actinic radiation and the time of exposure to the efficient production of the Ag NPs were studied. A typical reaction was suggested, which involves the photo-induced reduction of silver bromide nanocrystals in the presence of ascorbic acid under specified physicochemical conditions. The properties of resultant silver particles were examined using UV-Vis spectroscopy and Dynamic Light Scattering (DLS). In addition, Transmission Electron Microscopy (TEM) was used for imaging the silver nanoparticle suspensions.