Linear Conjugate Boundary Value Problems

We discuss the linear conjugate boundary value problems on the unit circle and the real axis. We obtain some Fredholm integral equations. Using thess equations we discuss the solvable conditions on these problems and we also give a direct method for the extension problems on the real axis.     

Revitalizing the Public Sphere: The Current System of Discourse and the Need for the Participative Design of Social Action

Public discourse in Western democracies, particularly in the United States, is far from the Habermasian ideal of citizens engaging in a rational discussion of public affairs. Rather than providing an arena for informed deliberation, the growing expertise of the media, lobbyists, and politicians has sub-optimized the current system of discourse to focus on emotional manipulation and the creation of polarized interests, each competing with each other for dominance. Avoiding a potentially disastrous outcome from this unbalancing of public discourse requires a revitalization of the public sphere and a return of the citizen voice in public decision making. To that end, systems thinkers have a tremendous opportunity and can play an important role. This article will explore the current challenges facing public discourse and outline that potential role.     

Research on the Angular Glint of Targets in the Near-Zone

This paper presents a method to analyze and calculate the angular glint of targets. By parting the target to very small size cells, using high-frequency approximation, the near-field radar cross section （RCS） is calculated based on the scattering from complex targets and environments （SCTE） system, and the angular glint is calculated by the phase grads. The results show that the angular glint can be calculated exactly in the SCTE system, and this method is correct and efficient. In the near-zone, the far-field theory is not applicable and the angular glint should be calculated by the near-field theory.     

二元有限域GF（2）上友矩阵的性质

本文主要研究定义在二元有限域GF（2）上友矩阵的性质，文中采用对矩阵性质的一般研究方法，较系统地讨论了定义在二元有限域上友矩阵的行列式、可逆性、特征值、秩、对角化以及极小多项式等有关问题，并得到了一些相关结论。     

A Group-Oriented （t,n） Threshold Signature Scheme with Traceable Signers

A group-oriented （t, n） threshold signature scheme employs the cryptographic techniques of secret share, allows any subset of t players out of n players to sign message on behalf of the group and disallows the creation of a valid signature if fewer than t players take part in the signature protocol. In this paper, we proposed a new group-oriented （t, n） threshold signature schemes with traceable signers based on Schnorr signature. The proposed scheme is proved traceable, robust and unforgeable against the ＂static＂ adversary with the discrete logarithm assumption in the random oracle model and existence of broadcast channel. The proofs of the strongest security （existential unforgeability against adaptively chosen message attacks under the discrete logarithm assumption） are provided in the random oracle model.     

Design and implementation of DBC based on dynamic AOP

Traditional approach of design by contract, due to mixing the contract code with application code, is difficult for the extensibility and reusability of software system. This paper presents a framework named JADBC for design by contract based on Aspect-Oriented Programming (AOP) to resolve these problems. By providing a new modularized element, aspect, the framework successfully separates the contracts in design by contract, from functional codes. The implementation of this framework is based on dynamic AOP which can have the contract changed at runtime, consequently, enhancing program flexibility. JADBC framework modularizes the contracts in a clear-cut fashion that is easier to design, implement, and maintain. Biography: WEN Jing (1982–), female, Ph.D. candidate, research directions: software engineer, aspect-oriented software development.     

A Class of Nonlinear Nonlocal Singularly Perturbed Reaction Diffusion Systems

The singularly perturbed initial boundary value problems for the reaction diffusion system are raised. Firstly, under suitable conditions, using a iteration technique, the differential inequalities theorem is constructed and introducing two auxiliary functions the existence and uniqueness theorem of solution for the basic reaction diffusion system is proved. Using the singularly perturbed method the formal asymptotic expressions of the solution are constructed with power series theory. By using the comparison theorem the existence and its asymptotic behavior of solution for the original problem are studied. Finally, using method of estimate inequalities, the structure of solutions for the problem is discussed thoroughly in three cases and asymptotic solution of the original problem is given. The asymptotic behavior of solution in the three cases is proved.     

OPTIMAL MAINTENANCE AND REPLACEMENT OF EXTRACTION MACHINERY

This paper considers a problem of optimal preventive maintenance and replacement schedule of equipment devoted to extracting resources from known deposits. Typical examples are oil drills, mine shovels, etc. At most one replacement of the existing machinery by a new one is allowed. The problem is formulated as an optimal control problem subject to the state constraint that the remaining deposit at any given time is nonnegative. We show that the optimal preventive maintenance, production rates, and the replacement and salvage times of the existing machinery and the new one, if required, can be obtained by solving sequentially a series of free-end-point optimal control problems. Moreover, an algorithm based on this result is developed and used to solve two illustrative examples.     

Blind Equalization Algorithm Based on MCMA and DSE-CMA

A new blind equalization algorithm based on the modified constant modulus algorithm （MCMA） and dithered signederror constant modulus algorithm （DSE-CMA） is proposed. This dithered signed-error MCMA （DSE-MCMA） can not only reduce the computational complexity, but also recover the phase rotation in the complex channel. Simulation results have verified the analysis and indicated the good property of DSE-MCMA.