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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。

We show a multi-symplectic scheme for the equations by the multi-symplectic Euler method. The truncation error of its local discrete energy conservation law is also exhibited.

用多辛Euler方法离散此方程组得到了它的多辛格式,并且推导了它的局部能量守恒律的离散误差。

The multi-routes k-opt exchange algorithm is firstly proposed, which is the extension in multi-routes of the traditional k-opt exchange algorithm, where the points exchanged are not only the ones in a single route but also in several routes.

本文首先提出了多路径 k-opt交换方法,该方法是传统k-opt交换方法用于多路径间的扩展,其进行交换的点不再局限于单一路径内部,而是多个路径的点都可以参入交换。

With a view to necessities of component temperature retrieval and exiguity of valid spaceborne multi-angular data set, it is undeniable that it is of great practical significance to study component temperature retrieval algorithm based on multi-channel data set.

鉴于地表组分温度反演的必要性以及符合要求的星载多角度遥感数据的不易获得性,研究基于多波段遥感数据的地表组分温度反演方法,无疑具有非常重要的现实意义。

Second, and constantly improve the capital market structure, and actively and steadily promoting the construction of multi-level capital market, improve the structure of listed companies, optimize the incremental adjustment of the stock, and further enhance the returns of investors of listed companies, improve the structure of investors, has continued to grow multi - team of investors actively promoting various types of funds into the market, and promote the coordinated development of various types of investors, such as fixed-income products, the company gradually expand the size of them in the market to satisfy market demand for a wide range of financing to promote stable operation of the futures market, further play to the functions of futures markets.

二,不断完善资本市场结构,积极稳妥地推进建设多层次资本市场,提高上市公司的结构,优化增量的股票调整,进一步提高上市公司的投资者的回报,改善投资者结构,继续拓展多-投资者团队积极推动进入市场的各种资金,促进各类投资者,例如固定收益产品,协调发展,公司逐步扩大规模他们在市场上满足了广泛的融资市场的需求,促进期货市场的稳定运作,进一步发挥期货市场的功能。

According to the theory created for the generalized multi-pole technique (in domain of half-analytical method), the center of each circle is determined as a starting point of each variable in a series expansion of the 2D-field solution function, and the arranging blank of the starting points in the generalized multi-pole technique can be filled up owing to the precise variable positioning.

根据为广义多极技术创建的理论体系,这些极点确定了解函数在级数展开式中各变量的起点。正因为这些变量的准确定位,不仅克服了广义多极技术中极,点位置设置的盲目性,而且提高了解的计算效率和计算精度。

Thirdly, a new loop algebra x with 3 M dimensions is constructed by use of some properties of exterior algebra, which is devoted to establishing a new isospectral problem. As its application, a multi-component integrable system similar to the TC hierarchy is obtained, whose reduction case presents a multi-component KdV equation.

由此可设计出许多新的等谱问题,作为应用,本文得到了一个多分量的TC族,其可约化为多分量的KdV方程。

On the basis of analyzing detailedly the correlative conclusions of the extreme value problem of two variable Function , this paper extends the essential condition and sufficient condition to multi-variable function by using the Taylor Formula 、Quadratic Form 、Hesse Matrix and so on,and gives a method to judge the extreme value of point whose vice-derivative doesn't exist by utilizing Lagranges theorem ,so that compensates for the blank above ,which turns idea that solve the extreme value of multi-variable function problem one by one into realities.

摘要本文在对二元函数极值问题的相关结论进行分析的基础上,用泰勒公式、二次型、海赛矩阵作为工具,将二元函数极值的必要条件和充分条件推广到多元函数的情形,而且还利用拉格朗日中值定理找到了一个判别不可导点处极值的方法,从而弥补了多元函数不可导点处极值无法判断的空缺。因而,使得用穷举判断的方法来解决多元函数的极值问题这一思路成为现实。

Extremum of the free multi-function method, multi-function conditions for extremum method.

多元函数自由极值的求法,多元函数条件极值的求法。

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According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm~150rpm时取得最大值,此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世,形体几无变化。

When I was in school, the rabbi explained everythingin the Bible two different ways.

当我上学的时候,老师解释《圣经》用两种不同的方法。