The paper discusses a constructive solution of the problem of the realization of a given (strictly) contractive time-varying system as the partial transfer operator of a lossless system. The construction is done in a state space context and gives rise to a time-varying Riccati-type equation. It is the generalization to the time-varying case of the time-invariant Darlington synthesis.

We show that the lambda-q calculus can efficiently simulate quantum Turing machines by showing how the lambda-q calculus can efficiently simulate a class of quantum cellular automaton that are equivalent to quantum Turing machines. We conclude by noting that the lambda-q calculus may be strictly stronger than quantum computers because NP-complete problems such as satisfiability are efficiently ...

The efficiency of solar heterogeneous TiO2 photocatalysis and homogeneous photo-Fenton reaction for removal of Lambda Cyhalothrin, Chlorpyrifos and Diazinon from pesticide wastewater industry was investigated. The effluent quality was not complying for discharge into sewerage network. Therefore, adsorption of the remaining portions of pesticides using powdered activated carbon (PAC) was assesse...

In this paper, by using random fixed point index theory, some new boundary conditions based on strictly convex or strictly concave functions are established and some new theorems for the solutions of a class of random semi-closed 1-set-contractive operator equations A(ω, x) = μx are obtained, which extend and generalize some corresponding results of Wang [S. Wang, Fixed Point Theory Appl., 2011...