Nowadays, industrialization exposes the human and environment resources to serious dangers. The importance of these resources caused the HSE (health, safety and environment) to have a significant contribution in industries’ evaluation, especially in construction industry. While evaluating the project’s success from an HSE point of view, it is not enough to rely solely on the outputs without con...

The various entropy bounds that exist in the literature suggest that spacetime is fundamentally discrete, and hint at an underlying relationship between geometry and “information”. The foundation of this relationship is yet to be uncovered, but should manifest itself in a theory of quantum gravity. We present a measure for the maximal entropy of spherically symmetric spacelike regions within th...

The field of information science has greatly developed, and applications in various fields have emerged. In this paper, we evaluated the coding system in the theory of Tsallis entropy for transmission of messages and aimed to formulate the channel capacity by maximization of the Tsallis entropy within a given condition of code length. As a result, we obtained a simple relational expression betw...

This paper studies convergence to equilibrium for the spatially inhomogeneous linear relaxation Boltzmann equation in entropy and related functionals, $p$-entropies. Villani [Hypocoercivity, Memoirs of American Mathematical Society, Vol. 202, Providence, RI, 2006] proved entropic hypocoercivity a class PDEs Hörmander sum-of-squares form. It was an open question prove such result operator which ...

We discuss some of the issues to be addressed in arriving at a definitive noncommutative Riemannian geometry that generalises conventional geometry both to the quantum domain and to the discrete domain. This also provides an introduction to our 1997 formulation based on quantum group frame bundles. We outline now the local formulae with general differential calculus both on the base ‘quantum ma...

When an organization’s output declines due to either internal changes or changes in its external environment, it needs to adapt. In order to evaluate the effectiveness of different adaptation strategies on organizational performance, an organizational model composed of individual models of a five stage interacting decision maker was designed using an object oriented design approach and implemen...

We want to relate the concepts of entropy and pressure to that of KMS states for C∗-Algebras. Several different definitions of entropy are known in our days. The one we describe here is quite natural and extends the usual one for Dynamical Systems in Thermodynamic Formalism Theory. It has the advantage of been very easy to be introduced. It is basically obtained from transfer operators (also ca...

It is well known that for pure states the relative entropy of entanglement equal to reduced entropy, and closest separable state explicitly as well. The same holds Renyi per recent results. We ask question a quasi-relative entanglement, which an measure defined minimum distance set state, when measured by entropy. First, we consider maximally entangled show any entanglement. Then, this also cer...

The vanishing viscosity limit of nonconservative hyperbolic systems depends heavily on the specific form of the viscosity. Numerical approximations, such as the path consistent schemes of [C. Parés, SIAM J. Numer. Anal., 41 (2007), pp. 169–185], may not converge to the physically relevant solutions of the system. We construct entropy stable path consistent (ESPC) schemes to approximate nonconse...

The solution to nonlinear Fokker-Planck equation is constructed in terms of the minimal Markov semigroup generated by the equation. The semigroup is obtained by a purely functional analytical method via Hille-Yosida theorem. The existence of the positive invariant measure with density is established and a weak form of Foguel alternative proven. We show the equivalence among self-adjoint of the ...