the edge detour index polynomials were recently introduced for computing theedge detour indices. in this paper we nd relations among edge detour polynomials for the2-dimensional graph of tuc4c8(s) in a euclidean plane and tuc4c8(s) nanotorus.

The problem of forecasting of conditions of complex objects which characterized by time functions is considered. This problem of forecasting is reduced to the decision of problem of stochastic programming with probable restrictions. As restrictions there are inequalities, formalizing the requirements of hit of the control trajectory’s predicted part to classes with probabilities, satisfying to ...

Abstract We study the thermodynamics of open systems weakly driven out-of-equilibrium by nonconservative and time-dependent forces using linear regime stochastic thermodynamics. make use conservation laws to identify potential components forces. This allows us formulate a unified near-equilibrium For nonequilibrium steady states, we obtain an Onsager theory ensuring nonsingular response matrice...

drought is random and nonlinear phenomenon and using linear stochastic models, nonlinear artificial neural network and hybrid models is advantaged for drought forecasting. this paper presents the performances of autoregressive integrated moving average (arima), direct multi-step neural network (dmsnn), recursive multi-step neural network (rmsnn), hybrid stochastic neural network of directive ap...

We propose a Bayesian stochastic search approach to selecting restrictions for Vector Autoregressive (VAR) models. For this purpose, we develop a Markov Chain Monte Carlo (MCMC) algorithm that visits high posterior probability restrictions on the elements of both the VAR regression coefficients and the error variance matrix. Numerical simulations show that stochastic search based on this algori...

and Applied Analysis 3 Table 1: Nonlinear self-adjointness of (3). f g V Selfadjointness ∀(f u ̸ = 0) ∀ C 1 + C 2 eαt Nonlinear ∀(f u ̸ = 0) C 5 (C 1 + C 2 eαt)(C 3 + C 4 x) Nonlinear ∀(f u ̸ = 0) C 5 ∫f(u)du C 1 + C 2 eαt +(C 3 + C 4 e αt )e x/C5 Nonlinear C 0 ( ̸ = 0) C 1 + C 2 u C 1 e (C2/C0)x+αtu + b(t, x) Weak α is a nonzero constant; b(t, x) satisfies (27). Equation (23) can be satisfied by t...