Chaotic weighted shifts in Bargmann space

This paper deals with the unilateral backward shift operator T on a Bargmann space F(C). This space can be identified with the sequence space ?²(N). We use the hypercyclicity criterion of Bès, Chan, and Seubert and the program of K.-G. Grosse-Erdmann to give a necessary and sufficient condition in order that T be a chaotic operator. The chaoticity of differentiation which correspond to the annihilation operator in quantum radiation field theory is in view, since the Bargmann space is an infinite-dimensional separable complex Hilbert space.     

Boundednes of Singular Integral Operators On Some Atom Spaces

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Weighted integral inequalities for conjugate A-harmonic tensors

We first prove a local weighted integral inequality for conjugate A-harmonic tensors. Then, as an application of our local result, we prove a global weighted integral inequality for conjugate A-harmonic tensors in L^s(μ)-averaging domains, which can be considered as a generalization of the classical result. Finally, we give applications of the above results to quasiregular mappings.     

An efficient solver for weighted Max-SAT

We present a new branch and bound algorithm for weighted Max-SAT, called Lazy which incorporates original data structures and inference rules, as well as a lower bound of better quality. We provide experimental evidence that our solver is very competitive and outperforms some of the best performing Max-SAT and weighted Max-SAT solvers on a wide range of instances.     

An <Emphasis Type="Italic">L</Emphasis><Subscript><Emphasis Type="Italic">p</Emphasis></Subscript>-Theory of SPDEs on Lipschitz Domains

Stochastic partial differential equations are considered on Lipschitz domains. Existence and uniqueness results are given in weighted Sobolev spaces, and Hölder estimates of the solutions are also obtained. The number of derivatives of the solutions can be any real number, in particular, it can be negative and fractional. It is allowed that the coefficients of the equations blow up near the boundary.     

Scheduling jobs with different,job-dependent earliness and tardiness penalties using the SLK method

The single machine job scheduling problem, where due dates are assigned using the SLK due date determination method, is examined assuming different penalties for the early and tardy jobs. These penalties are assumed to be job-dependent, proportional to the processing times of jobs raised to an integer, non-negative power. The objective function is the total weighted lateness. Several cases are examined and four algorithms providing the optimal sequences for these cases are presented. Examples are given and conclusions are drawn.     

Finite difference methods for solving the two-dimensional advection–diffusion equation

Using weighted discretization with the modified equivalent partial differential equation approach, several accurate finite difference methods are developed to solve the two-dimensional advection–diffusion equation following the success of its application to the one-dimensional case. These new methods are compared with the conventional finite difference methods in terms of stability and accuracy. The new methods are more accurate and often more stable than the conventional schemes.     

Practical selection of neighbourhoods for local regression in the bivariate case

The use of supports that are variable in shape and size are considered here, in dimension two, for a weighted local average of the data measured on a grid. The possibilities of capturing local features of the function with local methods are explored. Such a scheme is in line with the approximation schemes with parameters regulated adaptively to the data.     

A note on weighted buddy systems for dynamic storage allocation

In this paper we first show that the Shen and Peterson System [1] is a combination of two Fibonacci buddy systems [2, 3]. Then we present a generalized Shen and Peterson system. The generalized system has more flexibility in the generation of fixed size blocks. For the generalized system, the algorithm for the determination of the buddy of any released block is easier than that of the Shen and Peterson system.     

Discrete weighted residual methods: A sensitive nonlinear boundary-value problem

The foundations, applications, and convergence properties of discrete weighted residual methods (DWRM's) are presented in Refs. 1–3. This paper serves to illustrate DWRM's for solving a sensitive nonlinear discrete boundary-value problem. The results indicate that DWRM's can be applied to provide models of increasing complexity which can then be utilized for the analysis and design of physical systems.The work of the first author was supported in part by the National Science Foundation, Grant No. GJ-1075. The work of the second author was supported by a Hertz Foundation Fellowship.