市场场系统论

运用系统论、信息论、控制论方法和场论原理剖析市场,将物理学上的引力场、气象学上的气象场、数学上的数量场和系统动力学上的控制反馈等研究方法运用于现代市场研究之中,创新提出市场场的概念和市场场系统论,为定量研究市场提出了一个大胆的设想。

基于模糊模型的网络社会场系统的安全评估

网络是个虚拟的世界,所有行为都可以用虚拟的身份进行,所以容易滋生诈骗等违法现象,网络安全引起了人们的普遍关注。现有的网络安全评估方式可以应用于大多数问题的安全风险测评,都是单一的的安全评估框架,对于网络安全的评估没有针对性,并且这些方法更多的是从安全技术、功能和机制的角度来进行评估。文章基于社会软结构学提出了网络社会场系统理论,并按照网络社会场系统论工作的步骤进行分层,结合网络社会安全特有的性质从社会学的角度出发建立模糊数学模型来评估网络社会场系统的安全等级,从网络社会的结构化与完整性的新视角进行网络安全评估。

网络社会场系统的安全评估中专家权重样本的处理方法

采用二次建模对网络社会场系统安全评估体系中专家评估指标权重样本进行处理。第一次基于聚类分析模型处理样本信息,淘汰了偏离程度大的专家权重样本。第二次建立相关分析综合模型对筛选后的专家权重样本进行综合加权,得到更加精准的安全评估指标权重。将经过二次建模处理后的专家权重样本再应用于网络社会场系统安全评估模糊模型中,使得评估结果更加精准与可靠。

Relativistic Spin Operators

A systematic theory on the appropriate spin operators for the relativistic states is developed. For a massive relativistic particle with arbitrary nonzero spin, the spin operator should be replaced with the relativistic one, which is called in this paper as moving spin. Further the concept of moving spin is discussed in the quantum field theory. A new operator, field quanta spin is defined and in terms of the generators of Poincaré group the moving spin of field system is constructed. It is shown that, in virtue of the two operators, problems in quantum field concerned spin can be neatly settled.

STRENGTH AND WAVE VELOCITY TEST ON ARTIFICIALLY FROZEN SOILS

Theoretical analysis conducted of uniaxial compressive strength and tensile strength of artificially frozen soil and P waves and S waves and of the relationship between the two. Experiments are made on frozen sand and frozen clay respectively at the temperature of - 7℃, - 12℃and - 17℃. Of the data obtained, regression analysis and gray-system correlation are conducted. As indicated by the results, the frozen soil tensile strength is closely correIated with the P wave velocity and the compressive with the S wave, hence the former is well described by the latter.

A Reliability Analysis of Calculated Results for Odd-Even and Odd-Odd Nuclei in Relativistic Mean-Field Theory

We calculate the binding energies of Ni, Cu, Xe, Cs, Pt, Au, Np, Pu isotope chains using two interaction parameter sets NL-3 and NL-Z, and compared the relative errors of the even-even nuclei with those of odd-even nuclei and odd-odd nuclei. We find that the errors of binding energy of odd-even and odd-odd nuclei are not bigger than the one of even-even nuclei. The result shows that comparing with even-even nuclei, there is no systematic error and approximation in the calculations of the binding energy of odd-even and odd-odd nuclei with relativistic mean-field theory. In addition, the result is explained theoretically.

Construction of improved rigid blocks failure mechanism for ultimate bearing capacity calculation based on slip-line field theory

Based on the slip-line field theory, a two-dimensional slip failure mechanism with mesh-like rigid block system was constructed to analyze the ultimate bearing capacity problems of rough foundation within the framework of the upper bound limit analysis theorem. In the velocity discontinuities in transition area, the velocity changes in radial and tangent directions are allowed. The objective functions of the stability problems of geotechnical structures are obtained by equating the work rate of external force to internal dissipation along the velocity discontinuities, and then the objective functions are transformed as an upper-bound mathematic optimization model. The upper bound solutions for the objective functions are obtained by use of the nonlinear sequential quadratic programming and interior point method. From the numerical results and comparative analysis, it can be seen that the method presented in this work gives better calculation results than existing upper bound methods and can be used to establish the more accurate plastic collapse load for the ultimate bearing capacity of rough foundation.

Properties of A=7-9 Drip-Line Nuclei in RMF Theory

The relativistic mean-field （RMF） theory is used to calculate the properties of A =7-9 drip-line nuclei ^7Li, ^7;9Be, ^8;9B, and ^9C. Systematic deviations between experimental and theoretical binding energies are found. Possible reasons of these systematic deviations are discussed in terms of pairing energy. The root-mean-square （rms） radii of matter distributions for these nuclei agree with the experimental data quite well. The one-proton halo structure in ^8B is reproduced well, and the two-proton halo in ^9C is predicted. The calculations show that the RMF theory is valid in studying the properties of light drip-line nuclei.

How Sense of Place Works： Mapping Epistemological Symbols of Memory and Projection

Everyone experiences disambiguous feelings of location, of where the concrete world exists. Artists of every dicipline attempt to recreate this connection to real or ＂imagined communities＂ for their public. How do they do this？ How do they bring about a deep and controled feeling in others for a particular location or imagined place？ By analyzing recollection and setting through objects, iconography, signifiers, and theoretical construct, attended by visual examples, a system of determinate mapping evolves

Mean-Field Studies of a Mixed Spin-3/2 and Spin-2 and a Mixed Spin-3/2 and Spin-5/2 Ising System with Different Anisotropies

The magnetic properties of a mixed spin-3/2 and spin-2 and a mixed spin-3/2 and spin-5/2 Ising ferromag- netic system with different anisotropies are studied by means of mean-field theory （MFT）. The dependence of the phase diagram on single-ion anisotropy strengths is studied too. In the mixed spin-3/2 and spin-2 Ising model, besides the second-order phase transition, the first order-disorder phase transition and the tricritical line are found. In the mixed spin-3/2 and spin-5/2 Ising model, there is no first-order transition and trieritical line.

Solution Space Coupling in the Random K-Satisfiability Problem

The random K-satisfiability （K-SAT） problem is very diffcult when the clause density is close to the satisfiability threshold. In this paper we study this problem from the perspective of solution space coupling. We divide a given difficult random K-SAT formula into two easy sub-formulas and let the two corresponding solution spaces to interact with each other through a coupling field x. We investigate the statistical mechanical property of this coupled system by mean field theory and computer simulations. The coupled system has an ergodicity-breaking （clustering） transition at certain critical value Xd of the coupling field. At this transition point, the mean overlap value between the solutions of the two solution spaces is very close to 1. The mean energy density of the coupled system at its clustering transition point is less than the mean energy density of the original K-SAT problem at the temperature-induced clustering transition point. The implications of this work for designing new heuristic K-SAT solvers are discussed.

Mean field limit of a dynamical model of polymer systems

This paper provides a mathematically rigorous foundation for self-consistent mean field theory of the polymeric physics. We study a new model for dynamics of mono-polymer systems. Every polymer is regarded as a string of points which are moving randomly as Brownian motions and under elastic forces. Every two points on the same string or on two different strings also interact under a pairwise potential V. The dynamics of the system is described by a system of N coupled stochastic partial differential equations （SPDEs）. We show that the mean field limit as N -＋ c~ of the system is a self-consistent McKean-Vlasov type equation, under suitable assumptions on the initial and boundary conditions and regularity of V. We also prove that both the SPDE system of the polymers and the mean field limit equation are well-posed.

Evolution Properties of Atomic Fidelity in the Combined Multi-Atom-Cavity Field System

The atom fidelity is investigated in a system consisting of Mtwo-level atoms and M single-mode fields by use of complete quantum theory and numerical evaluation method. The influences of various system parameters on the evolution of atomic fidelity are studied. The results show that the atomic fidelity evolves in a Rabi oscillation manner. The oscillation frequency is mainly modulated by the coupling strength between atoms and light field, the atomic transition probabilities and the average photon numbers. Other factors hardly impact on the atomic fidelity. The present results may provide a useful approach to the maintenance of the atomic fidelity in the atom cavity field systems.