the main aim of this paper is to find the optimum shape of arch dams subjected to multiple natural frequency constraints by using an efficient methodology. the optimization is carried out by charged system search algorithm and its enhanced version. computing the natural frequencies by finite element analysis (fea) during the optimization process is time consuming. in order to reduce the computa...

We construct high-frequency initial data for the Einstein vacuum equations in dimension 3+1 by solving constraint on $\mathbb{R}^3$. Our family of solutions $(\bar{g}_\lambda,K_\lambda)_{\lambda\in(0,1]}$ is defined through a expansion similar to geometric optics approach and close particular sense null dust. In order solve equations, we use their conformal formulation main challenge our proof ...

The increasing penetration of the renewable energy sources brings new challenges to frequency security power systems. In order guarantee system security, constraints are incorporated into unit commitment (UC) models. Due non-convex form nadir constraint which makes constrained UC (FCUC) intractable, this letter proposes a revised support vector machine (SVM) based parameter separating plane met...