SEQUENTIAL QUADRATIC PROGRAMMING METHODS FOR OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS

A Kind of direct methods is presented for the solution of optimal control problems with state constraints.These methods are sequential quadratic programming methods.At every iteration a quadratic programming which is obtained by quadratic approximation to Lagrangian function and Linear approximations to constraints is solved to get a search direction for a merit function.The merit function is formulated by augmenting the Lagrangian funetion with a penalty term.A line search is carried out along the search direction to determine a step length such that the merit function is decreased.The methods presented in this paper include continuous sequential quadratic programming methods and discreate sequential quadrade programming methods.     

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。     

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.     

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。