查询词典 discrete problem

Based on this, convert the matrix equations problem for row symmetric matrices into ordinary matrix equations problem, the scale of converted matrix equations problem is half of that for the original problem.

在此基础上，将行对称矩阵方程组问题转化为一般的矩阵方程组问题，转化后的一般矩阵方程组问题的规模是原行对称矩阵方程组问题的一半。

Although the disperse model is beautiful and sententiously, the problem is NP-hard problem, when the number of aminophenol is very huge, the style of the difficulty of settle the problem is exponential, solving the problem is impossible.

离散模型固然很简洁优美，但是蛋白质结构的预测问题是NP-HARD问题，当蛋白质一维氨基酸序列的链长n很大的时候，计算时间随着问题规模的增加呈指数方式增长，求解将变得非常困难。

Considering the distinction of social problems, the works of reportage on social problem can be divided into three categories, which are structural reportage on social problem, transitional reportage on social problem and aberrant reportage on social problem.

根据所反映的社会问题的不同，又可把社会问题报告文学作品大致分为三种类型：结构性社会问题报告文学、变迁性社会问题报告文学和越轨性社会问题报告文学。

This problem is firstly decomposed into two problems including capacity allocation problem and routing problem and then these two problems are integrated.The project establishes a series of mathematical models to analyze the problem by the means of stochastic programming and dynamic programming.

对于不确定环境下全球集装箱的收益管理问题，首先分解为集装箱空箱和重箱的舱位分配问题以及空船与满船的路径问题，然后再集成研究，运用随机规划和动态规划的方法建立一系列的数学模型进行分析。

Under the circumstances that some prior knowledge about the possible fault can be obtained,the dynamic behavior of the fault is proposed and used to solve fault estimation problem.While,if there is no extra knowledge available about the possible fault other than the condition of l_2 bounded,the residual generation is formulated into a problem of observer-based H_∞filtering problem in the sense of stochastic,and the linear matrix inequality approach to solve this problem is proposed.

对于能够了解部分故障先验知识的情况，提出描述故障结构特性的动态模型，解决H_∞故障估计问题；而当故障信息完全未知情况下，将基于观测器的残差产生器设计归结为随机意义下的H_∞滤波问题，提出了该问题求解的线性矩阵不等式方法。

Our results improve the former results. For periodic Jacobi matrix, some new spectral properties of periodic Jacobi matrix are given by studying the relationship of the eigenvalues of periodic Jacobi matrix and its n—1 principal submatrix. Applying these spectral properties, we present a necessary and sufficient condition for the solvability of an inverse problem of periodic Jacobi matrices and discuss the number and the relationship of its solutions. Furthermore, we propose a new algorithm to construct its solution and compare it with the former algorithms. As this inverse problem of periodic Jacobi matrix usually has multiple solutions as many other eigenvalue inverse problems, we study the uniqueness of this problem. And a necessary and sufficient condition is given to ensure its uniqueness, under which an algorithm is presented and the stability analysis is also given. Finally, we put forward a new inverse problem for periodic Jacobi matrix which has not been solved.

对周期Jacobi矩阵特征值反问题，通过研究周期Jacobi矩阵与其n-1阶主子阵特征值的关系，给出了周期Jacobi矩阵的一些新的谱性质；利用这些谱性质，研究了一类周期Jacobi矩阵特征值反问题，用新的方法推导出了该类特征值反问题有解的充分必要条件，并讨论了解的个数以及解与解之间的关系；此外，提出了一种新的构造周期Jacobi矩阵反问题解的数值算法，并与前人的算法做了一定比较；由于周期Jacobi矩阵特征值反问题和其他很多特征值反问题一样往往存在多个解，本论文给出了周期Jacobi矩阵反问题解唯一的充要条件，并发现周期Jacobi矩阵特征值反问题的解唯一当且仅当构造的矩阵满足一定的条件；在解唯一的情况下，给出了构造唯一解的数值算法，并做了相应的稳定性分析；最后，提出了一类新的有待于解决的周期Jacobi矩阵特征值反问题。

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If the problem isn't obviously "interesting" it might be better to put motivation first; but if your work is incremental progress on a problem that is widely recognized as important, then it is probably better to put the problem statement first to indicate which piece of the larger problem you are breaking off to work on.

问题不显而易见"有趣"它可以适宜首先放动力；但是如果你的工作是在被广泛地承认为重要的一个问题上的增加的发展，然后首先放问题陈述表明你正停止着手做的更大的问题中的哪片或许是好的。

Quadratic assignment problem is a NP-hard combinatorial optimization problem and has been applied in various fields. There are always many zero elements in the flow matrix or distance matrix of the quadratic assignment problem instances which are abstracted from the practical problems. Much computation time can be saved if we can first reduce the size of the problem by using its zero elements.

二次分配问题(quadratic assignment problem， QAP)是应用于诸多领域的组合优化NP-难题，许多从实际问题中抽象出来的二次分配问题，其流矩阵与距离矩阵中存在大量零元素，如果在该类二次分配问题的求解中，能够充分利用这些零元素的信息，将大大缩减问题的规模，节省大量运算时间。

A carrier gas such as nitrogen is directed through line 20 and valve 22 to connect with line 26 and mix with the gas sample.

如氮气之类的载体通过管线20和阀22引入，与管线26相通，与气体样品混合。

But for the most part, knaves and parasites had the command of his fortune

然而支配他的家产的大多是恶棍和寄生虫。