查询词典 sequencing problem

Since the sub-problem is strict convex and separable, the dual problem is especially effective for large scale problem.

由于我们得到的子问题是严格凸和可分的，从而获得的对偶问题简单易解，因此这一方法尤其适合处理大规模问题。

The numercial simulation has been carried out, and the experimental results show that this method has been improved significantly comparing with the traditional one in nonlinear optics. Secondly, a second order system of semilinear elliptic equations, which comes from a mathematics model of the electric potential distribution of a media surrounded with the protein, is transformed into a variational problem, the existence of solution of it is proved by using variational principle and Trudinger—Moser inequality, and the relation between the solutions of variational problem and the solutions of its dual problem is obtained.

首先，讨论了非线性光学中的二次谐波产生的耦合方程组，利用变分法证明了耦合方程组非平凡解的存在性，然后进行了数值模拟，实验结果表明文中方法比经典的非线性光学中的方法有较大的改进，这对优化光倍频器件的设计将有所帮助；其次，将一类二阶半线性椭圆型方程组转化为一个变分问题，然后利用变分法和

Harmonic measurement is an important embranchment of harmonic problem. It is not only the main basis of studying the harmonic problem, but also the starting point of analyzing the problem.

谐波测量是谐波问题的一个重要分支，它是谐波问题研究的主要依据，也是研究分析问题的出发点。

Firstly, we consider the problem of the representation formula for the transition probability density of a right process under Girsanov transform. Secondly,we consider the problem of the MEMMs (minimal entropy martingale measure)for Markov switching Levy processes, and justify that the minimal entropy martingale measure is obtained by some regime switching Esscher transform. At last,we consider the problem of the invariant measure and the ergodic property of recurrent right processes. This paper includes 5 chapters.

首先，我们考虑了满足一定条件的右过程在Girsanov变换下的转移概率密度的表达式问题；其次，我们考虑了由Markov调制的Lévy过程的最小相对熵鞅测度的问题，证明了其最小相对熵鞅测度是某个状态转换Esscher变换；最后，我们考虑了右过程的不变测度及其遍历性的问题。

In the last chap-ter,the natural integral equation and natural boundary element method forharmonic problem on exterior elliptic domain are introduced.Then,based onthis,the natural boundary reduction method for a kind of exterior problem ofanisotropic constant coefficients elliptic equation is discussed, the natural inte-gral equation and its solving method on circular boundary and elliptic bound-ary are obtained.These results can be directly applied in coupled methodand DDM for exterior boundary value problem.

最后，讨论了椭圆外区域调和问题的自然积分算子即D-N算子及自然边界元方法，并基于此研究了一类各向异性常系数椭圆型方程外问题的自然边界归化方法，首次得到其在圆周边界及椭圆边界上的自然积分方程及其求解方法，并将这些结果直接应用于外边值问题的耦合算法。

At first, numerical simulation are made on the temporal developing gas-phase mixing layer where the convective mach number is in the region of subsonic(0.5) and transonic(0.8). For the temporal problem where Mc is 0.5, researches where the computational field contains different numbers of initial disturbances(so-called n period problem) are made respectively, and vortex's types of evolution in mixing layer including different numbers of initial disturbances are investigated; For the temporal problem where Mc is 0.8, the distinct shock let structure is obtained, and its mechanism is analyzed at the same time.

文中首先对对流马赫数为亚声速(0.5)、跨声速(0.8)的时间发展单气相混合层作了数值研究，对Mc为亚声速单气相时间发展混合层，分别研究了计算域包含不同数目的初始扰动周期问题，考查了不同周期数的混合层中涡的不同演化方式；对Mc为跨声速的单气相时间发展混合层，得到了清晰的小激波结构，同时分析了小激波的形成机理。

Under the assumption that the feasible region of the problem is n dimension, if the algorithm is terminated after finite step, the point obtained must be a global optimal solution of the problem, else each accumulation point of sequence {vk} which the algorithm produces must be a global optimization solution of the problem.

在问题的可行域是n维的条件下，如果这个算法有限步后终止，得到的点必是问题的整体最优解；否则，该算法产生的点的序列{vk}的每一个聚点也必是问题的整体最优解。

For the first time, in [3] the authors discussed the inequalities of B-B and by using them the authors give a proof of the existence and uniqueness of the generalized solution for magnetostatic field problem with zero boundary value. By using the inequalities of B--H in, in[-5,6] the authors give a proof of the existence and uniqueness of the generalized solutions for 3-D magnetostatic field Neumann problem and 2-D magnetic field first boundary value initial problem.

前人已讨论了B—H间的几个基本不式，并由之证明了三维静磁场带零边值问题广义解的存在与唯一性，作者也曾利用给出的B—H间的不式证明了三维静磁场Neumann问题和二维时变场第一边值初值问题广义解的存在与唯一性。

In this paper,we consider the existence and uniquness of solution for Dirichlet problem of the Helmholtz equation on the domain with corners, i.e problemFor smooth boundary,we use potential theory to transform the problem into second kind boundary integral equation ,and use Fredholm alternative theorem,we obtain the existence and uniqueness of Dirichlet problem.

在本文中，我们考虑边界含尖点的有界区域上Helmholtz方程△u+k~2u=0的Dirichlet问题即问题与问题解的存在及唯一性。

The article first introduces the slide problem that occurred for testing the friction drive capacity of traction wheel after the lift is installed, then analyzes reasons for the problem, and also puts forward a solution to solve the problem.

结合电梯安装后的曳引轮摩擦传动能力检查时所出现的滑移现象，分析了产生这种现象的原因，提出了解决办法，且对解决所出现问题的施工可行性进行了探讨。

"The operators will suffer a temporary decrease in the number of consumers and short message services as people may not like having to provide their ID cards for a phone number," Xu Junqi, vice-dean with the Policy-Making Institute of the Telecommunications Research Centre under MII, said yesterday.

信息产业部下属的通信决策研究院副主任徐俊其昨天说：&实行手机实名制后，人们可能不太情愿用身份证注册手机号，所以通信运营商会暂时面临用户减少和短信用户减少的问题。&

I don't believe in make-believe!

我不相信这些虚构的故事。