For a C 2 smooth plurisubharmonic function u defined on an open subset Ω of C n , the complex MongeAmp`ere operator is defined by (ddcu) n = n4n det ∂ 2u ∂zj∂zk
dV, where dV is the volume form. The MongeAmp`ere operator cannot be well defined as a nonnegative Radon measure for an arbitrary pluri[r]
This book is the result of a sequence of two courses given in the School of Appliedand Engineering Physics at Cornell University. The intent of these courses has beento cover a number of intermediate and advanced topics in applied mathematics thatare needed[r]
T. Q. Bao and B. S. Mordukhovich 2,3 have introduced some new concepts of extended Pareto efficient by using some kinds of relative interior replace for interior of ordering cones. The aim of this paper is to present new results on the convergence of relative Pareto efficient sets and the lower semi[r]
We develop the BaumKatz theorem for sequences of coordinatewise negatively associated random vectors in real separable Hilbert spaces. We also show that the concept of coordinatewise negative association is more general than the concept of negative association of Ko et al. (2009) 9. Moreover, some r[r]
The EMCO WinNC GE SERIES FANUC 21MB Milling Software is part of the EMCO training concept on PCbasis. This concept aims at learning the operation and programming of a certain machine control on the PC. The milling machines of the EMCO PC MILL und CONCEPT MILL series can be directly controlled via PC[r]
An evaluation was conducted to develop a stochastic time series model, capable of prediction of rainfall and runoff in Karso watershed. The Karso Watershed selected for hydrological studies is one of the sub watershed of the Damoder dam catchment of upper Damodar Valley, comprising a cover the area[r]
Let Ω be a hyperconvex domain in C n . By P SH(Ω) (resp. P SH−(Ω)) we denote the set of plurisubharmonic functions (resp. negative plurisubharmonic functions) on Ω. In Ce2, Cegrell introduced a general class E(Ω) of psh functions on which the complex MongeAmp`ere operator (ddc .) n is well defined.[r]
Let Ω be a hyperconvex domain in C n . By PSH(Ω) (resp. PSH−(Ω)) we denote the cone of plurisubharmonic functions (resp. negative plurisubharmonic functions) on Ω. In 17, the authors introduced and investigated the notion of local class as follows. A class J (Ω) ⊂ PSH−(Ω) is said to be a local class[r]
ABSTRACT. Let { fm}m≥1 be a sequence of holomorphic functions defined on a bounded domain D ⊂ C n or a sequence of rational functions (1 ≤ deg rm ≤ m) defined on C n . We are interested in finding sufficient conditions to ensure the convergence of { fm}m≥1 on a large set provided the convergence hol[r]
Several optimization schemes have been known for convex optimization problems. However, numerical algorithms for solving nonconvex optimization problems are still underdeveloped. A progress to go beyond convexity was made by considering the class of functions representable as differences of convex f[r]
In this paper, we suggest a new iteration scheme for finding a common of thesolution set of monotone, Lipschitztype continuous equilibrium problems and theset of fixed points of a nonexpansive mapping. The scheme is based on both hybrid method and extragradienttype method. We obtain a strong converg[r]
In this paper, building upon subgradient techniques and viscositytype approximations, we propose a simple projection algorithm for solving the bilevel Ky Fan inequality in a real Hilbert space, where the second level of the problem is variational inequalities. By choosing suitable regularization par[r]
In this paper we propose an iteration hybrid method for approximating a point in the intersection of the solutionsets of pseudomonotone equilibrium and variational inequality problems and the fixed points of a semigroupnonexpensive mappings in Hilbert spaces. The method is a combination of projectio[r]
ABSTRACT. Let f be a holomorphic function on a domain D ⊂ C n . Using the method of rapidly convergence, we study pluripolar hull in C n+1 of Γf(D) := {(z, f(z) : z ∈ D}. The first main result of this work (Theorem 3.1) states that if D is an analytic polyhedron then there exists a holomorphic funct[r]
Lecture Physical modeling in MATLAB has contents: Variables and values, scripts, loops, vectors, functions, zerofinding, functions of vectors, ordinary differential equations, systems of ODEs, secondorder systems, optimization and interpolation,...and other contents.
Final exam format:1. Reaction sequences: 22. Reaction sequences with isotope label: 23. Synthesis: 1 with given chemicals, 1 with no limit4. Single organic transformations: 85. SN1 , SN1, E1, E2This week sample testQUESTION 1. Determine A, B, C structure in following reaction sequences[r]
The Law, Justice, and Development series is offered by the Legal Vice Presidency of the World Bank to provide insights into aspects of law and justice that are relevant to the development process. Works in the series present new legal and judicial reform activities related to the World Bank’s work,[r]
We consider a class of stochastic functional differential equations with distributed delays whose coefficients are superlinear growth and H¨older continuous with respect to the delay components. We introduce an EulerMaruyama approximation scheme for these equations and study their strong rate of con[r]