Chemical Thermodynamics is the unified theory of physical and chemical transitions. This work presents three theorems on which the whole subject can be grounded. The first of them reveals the existing connection between the Lagrange multipliers method of the non-stoichiometric formulation and...

In this paper, we consider errors for piecewise linear continuous approximations to smooth one-dimensional curves in . It is shown that simple error estimates based on curvature can be rather accurate: second-order accurate provided nodal values are fourth-order accurate or higher. The estimates...

Parrondo's paradox states that one can turn several losing strategies into a winning strategy by combining them in the right way. While there is in fact nothing paradoxical about this phenomenon, it gives rise to a number of algorithmic problems on Markovchains.We consider the problem of...

We consider the asymptotic spectral distribution of Hermitian Toeplitz matrices formally generated by a rational function , where deg() deg(), and are relatively prime, and the zeros of are in the open punctured disk . From Szegö's theorem, the eigenvalues of are distributed like the values of...

This paper introduces a general technique for estimating the absolute value of the exponential sum for all composite integers k ≠ , a prime power. The new estimate improves the classical estimate by a factor of about 2 or better (depending on ) for all sufficiently large primes Further, it...

In this paper, we revisit the famous heuristic called nearest neighbor () for the traveling salesman problem under maximization and minimization goal. We deal with variants where the edge costs belong to interval [; ] for 0 and 1, which certainly corresponds to practical cases of these...

We examine under which assumptions on a positive normal functional on a von Neumann algebra and a Borel measurable function : with (0) = 0 the subadditivity inequality (( + )) ≤ (()) + (()) holds true for all positive operators , in . A corresponding characterization of tracial functionals...

In this paper we study the solution of a linear and nonlinear damped wave and dissipative wave equations by Adomian decomposition method. We illustrate that the analytic solutions and a reliable numerical approximation of the damped wave and dissipative wave equations are calculated in the form...

A new approach to a linear Korteweg-de Vries like equation is implemented by the Adomian decomposition method. The approach is based on the choice of a suitable differential operator which may be ordinary or partial, linear or nonlinear, deterministic or stochastic [1-4]. It allows to obtain a...