关于体上矩阵方程A_（m×n）X_（n×s）＝B_（m×s）的解

根据体上矩阵研究的新近进展，本文给出了任意体上的矩阵力方程的解判别定理及其通解的显式表示，并给出了（１）的一种有实用价值的简便解法。     

On Cauchy Homomorphisms of Nearness Frames

To include the pointfree case, the notion of a Cauchy map easily extends as the condition that the preimage of any regular Cauchy filter contains a regular Cauchy filter. This extension, however, can be unsatisfactory if the regular Cauchy filters are scarce or non-existent, making the condition too weak, indeed sometimes even void. In this paper a variant of the notion, independent on the existence of any kind of filters, is studied: a homomorphism is called fully Cauchy if it lifts to the completions. This is generally stronger than, and in the spatial and metric cases it coincides with the previously mentioned property. Moreover, it is stable under localization.     

On diagonally preconditioning the truncated Newton method for super-scale linearly constrained nonlinear programming

We present an algorithm for super-scale linearly constrained nonlinear programming (LCNP) based on Newton's method. In large-scale programming solving the Newton equation at each iteration can be expensive and may not be justified when far from a local solution. For super-scale problems, the truncated Newton method (where an inaccurate solution is computed by using the conjugate-gradient method) is recommended; a diagonal BFGS preconditioning of the gradient is used, so that the number of iterations to solve the equation is reduced. The procedure for updating that preconditioning is described for LCNP when the set of active constraints or the partition of basic, superbasic and nonbasic (structural) variables have been changed.     

Etude par desorption thermique programmee des proprietes des argiles modifiees

The present work tries to emphasize the effect of acid/basis properties of montmorillonite type clays by ion exchange with cations of different natures. The acidity and basicity measuring was made by thermo programated desorption (TPD)1,2, using ammonia like basis agent and carbon dioxide like acid agent. With TPD method we can determine acid/basis proprietes by measuring of the quantity of the ammonia and carbon dioxide termodesorbed. Clays are crystalline aluminosilicates, similar with the zeolyts, who presents the property of ion exchanging. That propriety can be applicated for pollutants cations from aquatic solutions. Ion exchanging propriety depends of a lot of factors: the cation nature, the valence and the ionic ray of the cation present in the impregnated solution. That's an advantage for depollution process of heavy metals by fixing of these metals by montmorillonite structure. By using TPD metod we can obtaine a caracteristic diagram. This revised version was published online in July 2006 with corrections to the Cover Date.     

变质量非完整系统相对于非惯性系的第一积分与积分不变量

本文给出了变质量非完整系统相对于非惯性系的第一积分存在的条件，建立了这类系统的正则方程和变分方程，证明了由第一积分可直接构造系统的积分不变量，并给出一系列推论和一个例子．     

On a Matrix Equation AX＋XB=C over a Skew Field

In this paper we study a matrix equation AX BX=C （Ⅰ）over an arbitrary skew field,and give a consistency criterion of （Ⅰ） and an explicit expression of general solutions of （Ⅰ）.A convenient,simple and practical method of solving （Ⅰ） is also given.As a particular case,we also give a simple method of finding a system of fundamental solutions of a homogeneous system of right linear equations over a skew field.     

Harmonic conformal flows on manifolds of constant curvature

We compute the energy of conformal flows on Riemannian manifolds and we prove that conformal flows on manifolds of constant curvature are critical if and only if they are isometric.      

WIN95下DirectX的动画设计技术

利用DirectDraw模块进行快速动画设计，重点对其直接操纵显存的特性和用后缓冲区实现动画中背景擦除和重绘的技巧进行探索，并结合火焰字的实例说明本文提出的方法是Win95下开发动画软件的一种切实可行的方法．     

Cordierite gels from TEOS and aluminum and magnesium nitrates under basic conditions

Synthesis of cordierite gels was performed using Si(OC₂H₅)₄ and aluminum and magnesium nitrates as starting materials under basic conditions. Further heat treatment yields the successive crystallisation of μ and α-cordierites and of some amounts of spinel as a secondary phase as revealed by X-ray diffraction. The poor final densification (84% of the theoretical value) of samples obtained from the as-prepared powders has been improved by ball-milling to values up to 95–98% of the theoretical value, the spinel proportion being simultaneously decreased.     

Operator-valued free Fisher information and modular frames

We introduce the operator-valued free Fisher information for a random variable in an operator-valued noncommutative probability space and point out its relations to the amalgamated freeness. Using M. Frank and D. Larson's modular frame notion we can construct the conjugate variable for an operator-valued semicircle variable with conditional expectation covariance. Then we obtain its free Fisher information and show it is equal to the index of the conditional expectation. At last the conjugate variable with respect to a modular frame operator for a semicircle variable is also constructed.