求解随机变量数字特征的两种有效方法

求解随机变量的数字特征是数理统计中的一个重要课题，本文利用泰勒级数和条件数学期望给出了正态分布数字特征的求解方法，并将所得结果做了适当的推广。     

Tokamak Experiment and Tokamak Engineering——Development of the Plasma Diagnostics on HL-2A Tokamak

The main mission the HL-2A tokamak is of the experiments on to explore the divertor physics and to investigate the plasma confinement, transport and instabilities with high power auxiliary heating and advanced fuelling, it is necessary to develop more new diagnostics and increase the spatial and temporal resolutions of the measurements for exist system. Up to now, about 30 diagnostic systems have been moved from HL-1M to HL-2A tokamak. Other 10 diagnostic systems are being designed and installed on the device. In developed in last 2 years, will be presented.     

New Compacton-Like and Solitary Pattern-Like Solutions of （2＋1）-Dimensional Generalization of Modified KdV Equation

Recently some （1＋1）-dimensional nonlinear wave equations with linearly dispersive terms were shown to possess compacton-like and solitary pattern-like solutions. In this paper, with the aid of Maple, new solutions of （2＋1）- dimensional generalization of mKdV equation, which is of only linearly dispersive terms, are investigated using three new transformations. As a consequence, it is shown that this （2＋1）-dimensional equation also possesses new compacton-like solutions and solitary pattern-like solutions.     

浅谈科学计算可视化在教育领域的应用

通过对科学计算可视化技术的分析，探讨了科学计算可视化应用于教育的机理和方法。并给出了具体的应用实例。     

芦荟对应激性溃疡大鼠胃黏膜的影响

旨在观察应激状态下,芦荟是否可减轻胃溃疡.20只健康成年SD大鼠随机分为实验组和对照组,分别给予芦荟和生理盐水7天后造模,取胃壁做冰冻切片,HE染色观察胃黏膜.结果显示对照组胃黏膜有明显淤血、细胞坏死、腺体排列紊乱等现象,芦荟组结构接近正常.提示芦荟对应激性胃溃疡有一定的预防保护作用.     

接触网交叉式线岔平面布置

分析了各类交叉式线岔平面布置的特点,论述了交叉式线岔平面布置的基本原则及其应用。     

Evolution of Weighted Networks by Duplication-Divergence Mechanism

The duplication and divergence process is ubiquitous in nature and man-made networks. Motivated by the duplication-divergence mechanism which depicts the growth of protein networks, we propose a weighted network model in which topological evolution is coupled with weight dynamics. Large scale numerical results indicate that our model can naturally generate networks with power-law-like distributions of degree, strength and weight. The degree-strength correlation is illustrated as well. These properties are in agreement well with empirical data observed in real-world systems. Furthermore, by altering the retention probability δ, weighted, structured exponential networks are realized.     

工业CT图像均匀性校正

在工业CT图像重建过程中,射束硬化使得图像出现“杯状”伪影,阵列探测器响应不一致使得图像出现环状伪影、带状伪影和点伪影,影响图像均匀性.本文分析了射束硬化的原理和探测器响应不一致的数学模型,并通过实验,对探测器响应进行多挡板定标得到校正系数表.利用查表插值的方法对投影数据进行均匀性校正,消除上述伪影.     

工科学生数学学习的障碍及对策

本文在强调数学学习对工科学生重要性的基础上,分析了工科学生在数学学习中存在的机能性障碍和方法性障碍,并探讨了在培养专业思想、加强数学应用、激发学习动机、体验数学美感和德育等方面的对策.     

Ferromagnetic Properties of Bond-Dilution and Random Positive or Negative Uniaxial Anisotropy Blume-Capel Model

We study the ferromagnetic properties of spin-1 system, which is considered in the frame of the bond dilution and random positive or negative anisotropy Blume-Capel model in the effective field theory and a cutting approximation. The investigation of phase diagrams displays some rich properties of the trajectory of tricritical point, reentrant henomena at low temperatures. Under certain both bond concentrations and random negative anisotropy, there are new transition lines of double tricritical points. So special emphasis is placed on the influence of the bond dilution and random anisotropy on phase diagrams. The magnetizations of the system are also discussed. Some results have not been evealed in previous reports.