二维NaCl晶体马德隆常数计算

通过计算机运算，给出二维ＮａＣｌ晶体马德隆常数的计算结果。     

集合环

本文用集环来表现模糊集，得到了表现定理的新形式，并证明了这种表现可以有限化，即用有限个经典集近似刻划模糊集并且这样的刻划是同态的。最后，证明了集对方法是集环表现的特殊情形。     

B-Spline with Symplectic Algorithm Method for Solution of Time-Dependent Schrodinger Equations

A B-spline with the symplectic algorithm method for the solution of time-dependent Schrodinger equations （TDSEs） is introduced. The spatial part of the wavefunction is expanded by B-spline and the time evolution is given in a symplectic scheme. This method allows us to obtain a highly accurate and stable solution of TDSEs. The effectiveness and efficiency of this method is demonstrated by the high-order harmonic spectra of one-dimensional atoms in comparison with other references.     

EXISTENCE OF GLOBAL SMOOTH SOLUTION FOR SCALAR CONSERVATION LAWS WITH DEGENERATE VISCOSITY IN 2-DIMENSIONAL SPACE

This article concerns the existence of global smooth solution for scalar conservation laws with degenerate viscosity in 2-dimensional space. The analysis is based on successive approximation and maximum principle.     

讲二次根式以前一定要先讲实数理论吗？

1.前言根据现行全日制中学数学数学大纲,讲二次根式以前,先讲数的开方和实数概念.这是完全正确的.因为二次根式的理论基础是有理数的平方根,因此必须先讲数的开方,由此就出现了无理数.这就迫使我们非讲实数概念不可.这是初中代数教学中一大难点.对于初中学生来说,要理解实数概念太困难了.可是不讲又不行.二次根式就无法进行了.没办法,只好马马虎虎地讲.目前中学数学大纲就是采取这个方针.     

用矩阵的谱分解研究线性矩阵方程

本利用矩阵的谱分解来研究线性矩阵方程，并给出当A，B为简单矩阵(即可对角化方阵)时，方程AX-XB=C和X=AXB=C有解的充要条件及通解形式。     

Mean Value on the Difference Between a Quadratic Residue and Its Inverse Modulo p

The main purpose of this paper is to use the generalized Bernoulli numbers, Gauss sums and the mean value theorems of Dirichlet L-functions between a quadratic residue and its inverse modulo p value formula. to study the asymptotic property of the difference （a prime）, and to give an interesting hybrid mean     

锑(Ⅲ)-2-(3,5-二溴-2-吡啶偶氮)-5-二乙胺基酚-溴代十六烷基三甲胺的络合物吸附波

在pH5.3的HAc－NaAc、2－（3，5－二溴－2－吡啶偶氮）－5－二乙氨基酚（3，5－Br2－PADAP）、溴代十六烷基三甲铵（CTMAB）溶液中，用线性扫描示波极谱法可得到锑（Ⅲ）的络合物吸附波。峰电位为－0.70V（vs．SCE）。二阶导数档峰高与Sb（Ⅲ）浓度在3．3X10-8～2．5X10－6mol／L范围内呈线性关系。检出限为8．2X10-9mol／L。用多种电化学方法研究了极谱波的性质及电极反应机理。络合物组成为Sb（Ⅲ）：3，5－Br2－PADAP＝1∶2。加入CTMAB可消除试剂峰且提高灵敏度。试验了30多种离子对峰电流的影响，用流基棉分离干扰离子。方法已用于矿样中锑的测定。