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... developed .In (1985 ) D.A.Rose defined weakly open functions in topological spaces , J.H.Park , Y.B.Park and J.S.Park (1997)introduced the notion of weakly open functions in between fuzzy topological spaces . In this paper we discuss the concept of fuzzy weakly preclosed functions .By ( X , ) we me ...
... developed .In (1985 ) D.A.Rose defined weakly open functions in topological spaces , J.H.Park , Y.B.Park and J.S.Park (1997)introduced the notion of weakly open functions in between fuzzy topological spaces . In this paper we discuss the concept of fuzzy weakly preclosed functions .By ( X , ) we me ...
x - UCSB ECE
... The equilibrium point xeq 2 Rn is (Lyapunov) stable if 9 a 2 K: ||x(t) – xeq|| · a(||x(t0) – xeq||) 8 t¸ t0¸ 0, ||x(t0) – xeq||· c Theorem (Lyapunov): Suppose there exists a continuously differentiable, positive definite, radially unbounded function V: Rn ! R such that Then xeq is a Lyapunov stable ...
... The equilibrium point xeq 2 Rn is (Lyapunov) stable if 9 a 2 K: ||x(t) – xeq|| · a(||x(t0) – xeq||) 8 t¸ t0¸ 0, ||x(t0) – xeq||· c Theorem (Lyapunov): Suppose there exists a continuously differentiable, positive definite, radially unbounded function V: Rn ! R such that Then xeq is a Lyapunov stable ...
Perfectly matched layers in the thin layer method Please share
... This paper explores the coupling of the Perfectly Matched Layer technique (PML) with the Thin Layer Method (TLM), the combination of which allows making highly efficient and accurate simulations of layered half-spaces of infinite depth subjected to arbitrary dynamic sources anywhere. It is shown tha ...
... This paper explores the coupling of the Perfectly Matched Layer technique (PML) with the Thin Layer Method (TLM), the combination of which allows making highly efficient and accurate simulations of layered half-spaces of infinite depth subjected to arbitrary dynamic sources anywhere. It is shown tha ...
Mathematical optimization
In mathematics, computer science and operations research, mathematical optimization (alternatively, optimization or mathematical programming) is the selection of a best element (with regard to some criteria) from some set of available alternatives.In the simplest case, an optimization problem consists of maximizing or minimizing a real function by systematically choosing input values from within an allowed set and computing the value of the function. The generalization of optimization theory and techniques to other formulations comprises a large area of applied mathematics. More generally, optimization includes finding ""best available"" values of some objective function given a defined domain (or a set of constraints), including a variety of different types of objective functions and different types of domains.