The Exact Hausdorff Measure Function of the Level Sets of Multi-parameter Symmetric Stable Process

In this paper, we investigate the Hausdorff measure for level sets of N-parameter Rd-valued stable processes, and develop a means of seeking the exact Hausdorff measure function for level sets of N-parameter Rd-valued stable processes. We show that the exact Hausdorff measure function of level sets of N-parameter Rd-valued symmetric stable processes of index α is Ф（r） = r^N-d/α （log log l/r）d/α when Nα 〉 d. In addition, we obtain a sharp lower bound for the Hausdorff measure of level sets of general （N, d, α） strictly stable processes.     

Ergodicity for the Dissipative Boussinesq Equations with Random Forcing

We study the stationary measure for the two-dimensional Boussinesq equation with random forcing. We prove the ergodicity for the two-dimensional stochastically forced Boussinesq equation. We also study the Galerkin truncations of the three-dimensional Boussinesq equations under degenerate stochastic forcing. We follow closely the previous results on the stochastically forced Navier–Stokes equations.     

Simple Entanglement Measure for Multipartite Pure States

A simple entanglement measure for multipartite pure states is formulated based on the partial entropy of a series of reduced density matrices. Use of the proposed new measure to distinguish disentangled, partially entangled, and maximally entangled multipartite pure states is illustrated.     

变频调速在连铸改造中的应用

针对连铸生产中存在的问题,设计用变频调速系统取代直流调速系统.阐述了系统的构成和工作过程,实现PC对变频器的控制和两台变频器间的连锁控制,并给出了PC控制程序框图.实际运行结果表明:本系统安全可靠、故障率低、性能优于原直流系统.     

Bush连续不可微函数的分形性质

本文对用递推关系确定的Bush连续不可微函数,找出了迭代函数系(IFS),从而得到它的级数表达式和所具有的自仿射分形的有关性质.最后还计算出函数图象的Hausdorff 维数的准确值.     

连铸板坯外形的在线检测方法

介绍了板坯外形在线检测的测量原理，计算方法，并给出了实验测量方法，过程及计算机图像处理系统的处理结果，该方法简单，实用，精度较高。     

烟气分析在转炉冶炼过程中的应用研究

介绍转炉烟气分析控制系统,研究转炉烟气和炉气在冶炼过程中的变化规律,并开发烟气定碳模型。结论表明,在转炉冶炼过程中利用烟气成分的变化规律,可进行转炉炉况判断、终点判断和了解炉内反应过程。开发的烟气定碳模型对于含碳量低于0.12%的炉次,其控制精度为±0.02%,命中率为90%。     

α-FUZZY PAIRWISE RETRACT OF L-VALUED PAIRWISE STRATIFICATION SPACES

The notion of a fuzzy retract was introduced by Rodabaugh (1981). The notion of a fuzzy pairwise retract was introduced in 2001. Some weak forms and some strong forms of α-continuous mappings were introduced in 1988 and 1997. The authors extend some of these forms to the L-fuzzy bitopological setting and construct various α-fuzzy pairwise retracts. The concept of weakly induced spaces in the case L = [0,1] was introduced by Martin (1980). Liu and Luo (1987) generalized this notion to the case that L is an arbitrary F-lattice and introduced the notion of induced L-fts. Several results are obtained, especially, for L-valued pairwise stratification spaces.     

辨析企业人才的"留"与"流"

论述了辨证认识与处理好人才的“留”与“流”的关系，指出了只有做好人才管理工作，慎重地考虑人才的留用，才能使企业长期、持续、健康、稳定地发展。     

On the Patterson–Sullivan Measure for Geometrically Finite Groups Acting on Complex or Quaternionic Hyperbolic Space

The goal of this paper is to provide a tool, the Global Measure Formula, that will facilitate the study of the limit set of discrete geometrically finite groups of isometries of the rank one symmetric spaces. We consider the shadow of a ball from a fixed reference point onto the boundary, and prove a formula that describes the measure of the shadow in terms of the center of the shadowed ball, generalizing a result from real hyperbolic geometry.