We extend the results of Walters on the uniqueness of invariant measures with maximal entropy on compact groups to an arbitrary locally compact group. We show that the maximal entropy is attained at the left Haar measure and the measure of maximal entropy is unique.

In this paper, a new invariant called {it logic entropy} for dynamical systems on a D-poset is introduced. Also, the {it conditional logical entropy} is defined and then some of its properties are studied.  The invariance of the {it logic entropy} of a system  under isomorphism is proved. At the end,  the notion of an $ m $-generator of a dynamical system is introduced and a version of the Kolm...

Cavitation treatment of surface and natural waters is a method for their microbiological purification. The aim the present paper was to investigate possibilities disinfection by cavitation with Ge USM Cleaner device. A full factorial experiment type 22 performed. factors influencing water purification process were studied. Based on obtained experimental results, activation energy, thermal effec...

This paper investigates the two-dimensional and incompressible flow of viscoelastic nano-liquid dynamic axisymmetric sprayed thin film deposit on a stretched cylinder. It also looked at how activation energy entropy evaluation affected mass heat flow. The governing equations are transformed into nonlinear differential using similarity transformation techniques, which then resolved successively ...

By replacing linear averaging in Shannon entropy with Kolmogorov-Nagumo average (KN-averages) or quasilinear mean and further imposing the additivity constraint, Rényi proposed the first formal generalization of Shannon entropy. Using this recipe of Rényi, one can prepare only two information measures: Shannon and Rényi entropy. Indeed, using this formalism Rényi characterized these additive en...

In the face of requirement that nuclear fusion reactor materials exhibit more excellent thermal, mechanical and physical properties, a novel refractory high-entropy alloy, WTaHfTiZr was proposed. The constituent elements were selected in consideration low activation, high melting point thermostability. alloys prepared by arc melting. as-cast alloy shows dendrite microstructure with two disorder...