问题的

For a class of bilevel multi-objective decision,this paper converts it into the problem of equivalent single-level multi-objective decision,then makes use of the inversion property of the genetic algorithm with the ergodic property of the chaos optimization method.

针对求解一类二层多目标决策问题，首先将其转化为等价的单目标决策问题，然后利用遗传算法优化的反演性和混沌优化方法的遍历性，并结合精确不可微罚函数求解非线性约束优化问题，提出了求解此类问题的混沌遗传算法。

For a class of bilevel multi-objective decision,this paper converts it into the problem of equivalent single-level multi-objective decision,then makes use of the inversion property of the genetic algorithm with the ergodic property of the chaos optimization method.Combined with exact non-differentiable penalty function,a new chaos genetic optimization algorithm is presented.

针对求解一类二层多目标决策问题，首先将其转化为等价的单目标决策问题，然后利用遗传算法优化的反演性和混沌优化方法的遍历性，并结合精确不可微罚函数求解非线性约束优化问题，提出了求解此类问题的混沌遗传算法。

A class of bilevel multi-objective programming was converted into the problem of equivalent single-level multi-objective programming. Then a new chaos genetic optimization algorithm was presented by using the inversion property of genetic algorithm and the ergodic property of chaos optimization method and combining with the exact l_1 penalty function.

针对求解一类二层多目标规划问题，首先将其转化为等价的单目标规划问题，然后利用遗传算法优化的反演性和混沌优化方法的遍历性，并结合精确罚函数求解非线性约束优化问题，提出了求解此类问题的混沌遗传算法。

The issue of the cognition error in the criminal law comes out from the connection between error and crime.

一、事实认识错误概念分析认识错误问题是刑法学中的一个复杂而重要的问题，在司法实践中，对认识错误问题的判断与分析关系到如何追究行为人刑事责任的问题。

But, when the problem scale is getting larger, the number of feasible solutions provided by constraint programming is also getting too huge and it very difficult to solve the whole problem with a reasonable computation.

但是当问题范围增大时，限制规划求解的困难度也随之增加。因此，期望这项问题可以作为未来研究限制规划求解人员排班问题的一个改进方向。

Methods in discrete mathematics, such as finite difference equation, simulation, coding, etc. The related cases are "Mortgage loan and other financial problems","Simulation of inventory problem","Adding cipher and extricating for Hill code", and "Input-output analysis".

某些离散问题的数学方法(差分方程问题，仿真方法，密码学等)，这部分内容相应的教学案例是"个人住房抵押贷款与其他金融问题"，"库存问题的仿真方法"，"Hill密码的加密、解密和破译"和"投入产出分析"等

The parallel flow line scheduling is a new kind of scheduling.

并行生产线调度问题兼有并行机器和流程车间调度问题的特点，是一类新型的调度问题。

The security of the dynamic group signature is based on the fact that the gap Diffie Hellman problem and discrete logarithm problem are hard problems.

该方案的安全性是建立在间隙群上计算Diffie-Hellaman问题和离散对数问题均是困难问题的基础上。

In the procedure of problem solving, a series of subgoal in the hierarchic are attained in order to attain the problem's goal.

问题规划的原则是围绕问题的子目标，即选择合适的子目标并将这些子目标作为问题求解序列中各子问题的目标。

The method ofsolution for linear discrete Hilbert boundary value problem on the unit circleis illustrated and it is proved that,in case of the index〓,the solutionsof the discrete Hilbert problems are stongly convergent to the solution of theoriginal problem.

我们给出了单位圆上线性离散Hilbert边值问题的解法，并且证明了当问题的指标k=0时离散Hilbert边值问题的解强收敛于原Hilbert边值问题的解。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。