关于态射的Drazin逆

给出了态射的Drazin逆存在的条件及显式表达式，改进并推广了[1]、[2]与[3]中的一些主要定理。     

Study of Thermal Decomposition Kinetics of Low-temperature Reaction of Ammonium Perchlorate by Isothermal TG

The kinetics of the thermal decomposition of ammonium perchlorate at temperatures between 215 and 260°C is studied, in this work, by measuring the sample mass loss as a function of time applying the isothermal thermogravimetric method. From the maximum decomposition rate – temperature dependence two different decomposition stages, corresponding to two different structural phases of ammonium perchlorate, are identified. For the first region (215–235°C), corresponding to the orthorhombic phase, the mean value of the activation energy of 146.3 kJ mol^–1, and the pre-exponential factor of 3.43⋅10¹⁴ min^–1 are obtained, whereas for the second region (240–260°C), corresponding to the cubic phase, the mean value of the activation energy of153.3 kJ mol^–1, and the pre-exponential factor of 4.11⋅10¹⁴ min^–1 are obtained. This revised version was published online in August 2006 with corrections to the Cover Date.     

The homotopy analysis method for solving the time-fractional Fornberg–Whitham equation and comparison with Adomian’s decomposition method

In this paper, we applied relatively new analytical techniques, the homotopy analysis method (HAM) and the Adomian’s decomposition method (ADM) for solving time-fractional Fornberg–Whitham equation. The homotopy analysis method contains the auxiliary parameter, which provides us with a simple way to adjust and control the convergence region of solution series. The fractional derivatives are described in the Caputo sense. A comparison is made the between HAM and ADM results. The present methods performs extremely well in terms of efficiency and simplicity. Numerical results for different particular cases of the problem are presented.     

关于W.Y.Velez猜想Ⅱ

设k为域，本文继续讨论了文[1]中提出的W.Y.Velez问题，在基域k中不含有m次本原单位根时，给出了该问题成立的一个条件，推广了文[2] 的结果。     

On the relation between the connected-moments expansion and the Lanczos variational scheme

Summary The recently introduced Connected-Moments Expansion (CMX) is compared to a variational Lanczos scheme for estimating ground-state energies of many-body systems. A systematic approach is given for three quantum-mechanical systems: harmonic oscillator, anharmonic oscillator and the Kondo model. A second-order analysis is given in terms of particular ratios of moments of the Hamiltonian.     

配合物[Fe(CTS)_2]·SO_4·7H_2O的热分解动力学

研究了壳聚糖对Fe2 + 的吸附行为 ,并进行了条件优化 ,得到了较为理想的合成产物。通过红外光谱和紫外光谱进行了表征 ,进而用化学分析、元素分析确定了配合物的组成 ,并利用TG DSC分析 ,采用常用的 2 2种机理函数 ,对非等温动力学数据进行了线性回归拟合处理 ,求得了配合物主要分解阶段热动力学最可机理函数和动力学参数 (E和A)。     

改性羧甲基羟丙基田菁胶热裂解动力学研究

通过研究羟丙基田菁胶、羧甲基羟丙基田菁胶和改性羧甲基羟丙基田菁胶水溶液在不同温度下的粘性行为及其样品在流动空气和氮气流中的热裂解和裂解活化能计算，探讨了改性羧甲基羟丙基田菁胶的热稳定性．结果表明：与羟丙基田菁胶和羧甲基羟丙基田菁胶相比较，改性羧甲基羟丙基田菁胶的粘度热稳定性和裂解热稳定性高于羟丙基田菁胶和羧甲基羟丙基田菁胶，并且指出它们的热裂解属无规引发过程和以无规分布为主的非结晶状态．     

对称正交矩阵反问题及其最佳逼近

本文主要讨论下面两个问题：问题Ⅰ：给定矩阵X,B∈R~(m×n),求对称正交矩阵A∈SOR~(m×m),使得AX=B．问题Ⅱ：给定矩阵(?)∈R~(m×m),求矩阵A~*∈S_E使得(?)这里S_E问题Ⅰ的解集合,‖·‖指Frobenius范数．本文首先讨论具有k阶对称主子阵的n(n＞k)阶正交矩阵的C-S分解,利用这个结果,得到了问题Ⅰ有解的充要条件和通解的一般形式．然后,对给定矩阵(?)∈R~(m×m),讨论了矩阵(?)在问题Ⅰ的解集合S_E中的最佳逼近,得到了最佳逼近解的表达式．     

关于几种新的极分解计算方法

对变形梯度极分解的计算方法进行了分析,给出极分解计算的四种新方法：（１）增量叠加法;（２）基于伸长张量不变量（近似）计算法;（３）确定主转动轴计算法;（４）坐标变换法．增量叠加极分解计算方法将为建立以伸长张量为应变度量的大变形大转动有限元分析方法提供基础．本文还给出了伸长张量物质时间导数的简洁表达式     

Friendship decompositions of graphs

We investigate the maximum number of elements in an optimal t-friendship decomposition of graphs of order n. Asymptotic results will be obtained for all fixed t?4 and for t=2,3 exact results will be derived.