We study the complexity of high-dimensional approximation in $L_2$-norm when different classes information are available; we compare power function evaluations with arbitrary continuous linear measurements. Here, discuss situation number measurements required to achieve an error $\varepsilon \in (0,1)$ dimension $d\in\mathbb{N}$ depends only poly-logarithmically on $\varepsilon^{-1}$. This corr...

In this paper, global uniform exponential stability of perturbed dynamical systems is studied by using Lyapunov techniques. The system presents a perturbation term which is bounded by an integrable function with the assumption that the nominal system is globally uniformly exponentially stable. Some examples in dimensional two are given to illustrate the applicability of the main results.

parameters as interception, infiltration, water storage on surface holes and soil profile, evapotranspiration are factors of loss water in a watershed and avoid from changing of precipitation to runoff. in this study, by use of hec-hms model and comparison of results of different methods of precipitation loss evaluation (initial and constant, green & ampt, scs curve number, deficit & constant a...