每个算子都是两个强不可约算子的和

本文证明了可分无穷维 Hilbert空间上每个有界线性算子均可写成两个强不可约算子之和 .这回答了文献 [9]中提出一个公开问题     

ESTIMATE OF THE UPPER CRITICAL FIELD AND CONCENTRATION FOR SUPERCONDUCTOR

The effect of an applied magnetic field on an inhomogeneous superconductor is studied and the value of the upper critical magnetic field Hc3 at which superconductivity can nucleate is estimated. In addition, the authors locate the concentration of the order parameter, which depends on the inhomogeneous term a(x). Unlikely to the homogeneous case, the order parameter may concentrate in the interior of the superconducting material, due to the influence of the inhomogeneous term a(x).     

Lukasiewicz 命题逻辑系统一种新的理论的相容度

根据演绎定理和完备性定理,应用公式真度理论在Lukasiewicz命题模糊逻辑系统中讨论理论Γ的相容性,根据矛盾式■是Γ-结论的真度的大小,提出了一种新的极指标和相容度的概念.给出了理论Γ相容、不相容及其它相关结论的充分必要条件,并且获得了相容度与发散度之间联系的重要关系式.     

Critical Behaviour of the One—Dimensional Ferromagnetic t—J Model

The one-dimensional super-symmetric ferromagnetic t-J model is studied via the thermal Bethe ansatz.Analytic expressions of the free energy for T→O are obtained.A new critical behaviour beyond the universal class of Luttinger Liquids is found in this system.     

临界装置绝对裂变率测量

临界装置是在低功率下运行的能够维持可控自持链式裂变反应的装置，一般运行的热功率在1kW以下，与动力堆相对应，一般称为零功率装置。在临界装置上进行的各项研究中，一个重要的参数就是裂变反应率(简称裂变率)，它是其它参数测量的基准，如在脉冲式的反应堆中，还是脉冲裂变总数的测量基准，是脉冲堆的一个主要指标。     

Extended Power Law Nonlinear Response and Amplitude-Dependent ac Susceptibility of High-To Superconductors

We show a nonlinear materials equation of superconductors in the form of an extended power law which can be derived from the Ginzburg-Landau (GL) functional. The critical current Jc and ac susceptibility X are analysed by using this equation, and the puzzling question of the increasing height of the out-of-phase susceptibility peak Xpeak with increasing amplitude hac is explained.     

带有奇异项的临界增长p-Laplace方程的非平凡解

本文研究了一种带有奇异项的临界增长p-Laplace方程在N维空间中的有界集上非平凡解的问题,利用山路引理和集中紧性原理,得出方程在非线性项满足一定条件下有非平凡解的结果.     

煤矿瓦斯和煤尘监控的数学模型

结合2006年全国大学生数学建模竟赛D题,借助Matlab软件,通过数学建模,计算出有关煤矿瓦斯和煤尘的3个主要安全指标,从而为解决煤矿实际安全生产提供了参考.     

New Spinor Field Realizations of the Non-Critical W3 String

We investigate the new spinor field realizations of the W3 algebra, making use of the fact that the W3 algebra can be linearized by the addition of a spin-1 current. We then use these new realizations to build the nilpotent Becchi-Rouet-Stora-Tyutin charges of the spinor non-critical W3 string.     

带单向关闭和多种维修方式的两部件串联可修模型

本文讨论的带单向关闭规则和多种维修方式的两部件串联可修模型,比许多现有模型更一般。我们用向量马氏过程方法求得了它的可靠度和可用度,在(0,t)中的平均故障次数和平均更新次数。