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By using the transfer matrix method of multibody system, the hard problem of computation of the vibration characteristics of LRMLRS coupled with rigid bodies and elastic bodies is solved which is very difficult to the ordinary dynamic methods, and the vibration characteristics of LRMLRS which is varied when the number of rockets in the launch device is varied, is obtained conveniently. By developing augmented eigenvectors of the LRMLRS and its orthogonality conditions, the nonorthogonality problem of the multibody system including rigid bodies and elastic bodies is solved and the exact analysis of the dynamics response of the LRMLRS including rigid bodies and elastic bodies is realized. By using the random integer programming method, the hard optimization problem which contains continuous variables, discrete variables and random variables at the same time is solved. This method provides a technology for optimum design with random variables and discrete variables. The dynamic optimum design is realized to decrease the number of rockets consumption in the LRMLRS test. The simulation system of dispersion of fire is established by using the maximum entropy method to estimate dispersion of fire.

通过应用多体系统传递矩阵法,解决了刚弹耦合远程多管火箭多体系统振动特性这一通常力学方法不便于解决的计算难题,方便地获得了远程多管火箭振动特性及其随发射架上火箭弹个数变化而变化的情况;通过构造增广特征矢量及其正交性条件,解决了刚弹耦合多体系统特征矢量不具有通常意义下的正交性的难题,实现了对刚弹耦合远程多管火箭动力响应的精确分析;应用随机整数规划法,解决了同时考虑连续、离散和随机变量等多种设计变量的优化设计难题,为含随机和离散变量的优化设计提供了手段,实现了减少远程多管火箭试验用弹量的动态优化设计;建立了应用最大熵法估计的密集度仿真系统,优化射序和射击间隔,实现了提高远程多管火箭射击密集度的动态优化。

The primary theory of numbers aspect related integer property basic content.

摘要本论文主要讨论了整数的离散性、代数性质、有序性、整除性、最大公因数与最小公倍数、素因子分解、同余等初等数论方面的有关整数性质的基本内容。

In addition, by utilizing Jacobi two square numbers theorem and Lagrange four square numbers theorem and some theta function identities, we also prove the known results of number theory: two triangular number theorem, four triangular number theorem, and the number of representations of a positive integer by various quadratic forms in terms of divisor functions

包括Jacobi二平方数定理,Lagrange四平方数定理等,然后利用这些结果结合几个theta函数恒等式,我们获得了把任意一个正整数表示成两个三角数或四个三角数的和以及其他的二次形式的方法数,这些方法数都是用因子函数来表示的。

According to the reuse of the expressway network toll data, the toll amount prediction by car type amount, the classification to fraud toll collectors and solve the integer linear programming problem of toll collector job scheduling are the three application solution examples.

在高速公路联网收费数据的再利用中,根据分车型车流量预测收费额、对收费员进行作弊分类和求解收费员排班这个整数线性规划问题是遗传规划的三个应用算例。

In 2004 Zhang Zhongfu presented the concept ofadjacent vertex distinguishing total coloring whose content is: Let G be a connectedsimple graph with order at least 2, k be a positive integer and f be a mappling fromV∪E to {1,2,...,k}. Let C={f}∪{f|uv∈E,v∈V}for all u∈V. If (1) for any uv, vw∈E,u≠w, we have f≠f;(2) for any uv∈E, we have f≠f, f≠f, f≠f,then f is called a k-proper total coloring of graph G.

第三章和第四章主要研究了两种联图的邻点可区别全染色,邻点可区别全染色的定义是张忠辅在2004年提出来的,其内容为:设G是阶至少为2的简单连通图,k是正整数,f是V∪E到{1,2,…,k}的映射,对任意u∈V,记C={f}∪{f|uv∈E,v∈V}。

The constructing process of the algorithms itself indicate that they are brevity and have definite geometric meaning, scientific iterative terminal criterions and no strict requirement to function. Finally, some digital experimentation is presented to indicate the algorithms application in solving the problem of maximum of function, transcendental equation,integer programming and so on. The results indicate that the algorithms have more global and more adaptability compared to traditional algorithms and have more calculating efficiency and more scientific iterative terminal criterions compared to some present popular artificial intelligence algorithms.

算法的构造过程本身表明了该算法简单明了、几何意义明确、迭代终止准则科学、对函数的要求较低;最后举了几个数值试验的例子以说明该类算法在求函数的最值,解超越方程以及整数规划等问题中的应用;数值试验的结果标明该算法比单纯由"微分"思想演化而来的传统算法有更好的全局性和对问题的更广泛的适应性,比现在流行的一些人工智能方法有更高的运算效率和更适当的迭代中止准则。

For the characteristic of transportation problem, it was an integer programming problem naturally. By introducing a new algorithm, a transportation problem which includes interval number variables can be converted into two ordinary linear programming problems. It's a more efficient method, and a simple result can be gained.

本文考虑了带有区间数参数的运输规划问题,通过引入新的算法将原问题转换为两个普通的线性规划问题,使用新的算法计算简洁,效率高,得到的结果更直观,改变了以往只能以区间数表示结果的方式。

The programming problems of port distribution, transport fashion and fleet configuration can be conveniently solved with the system programming model and algorithm on river-sea transportation of oversea trade built up in this thesis first by using the theory and method of 0-1 integer programming.

本文首次运用0-1整数规划的理论和方法,建立了外贸江海运输系统规划模型和算法,使得港口布局、运输方式以及船队组成的规划问题可以方便地得到解决。

Because the weights can not be treated as integer,then triangular fuzzy number is introduced to deal with the problem.

对典型产品的评估结果证明了所提评估数学模型和解法的正确性。

Then truncate this number to an integer, and after that multiply it with the slot size.

然后截断这个数字为整数,随后乘同槽大小。

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