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First, for a given integer value of the objective function, the lower and upper bounds of the variables were determined by the optimum simplex tableau of the linear programming relaxation problem. Then the conditions on the bounds were added to the constraints as cuts to the associated objective function hyperplane. Finally, a branch procedure of the branch-and-bound algorithm was applied to finding a feasible solution on the objective function hyperplane.

对于给定的目标函数整数值，首先利用线性规划松弛问题的最优单纯形表确定变量的上、下界，然后将变量的上、下界条件加入约束条件中对相应的目标函数超平面进行切割，最后应用分支定界算法中的分支方法来搜寻目标函数超平面上的可行解。

This chapter clarifies the nested relationship between the matrix family of unitary, orthogonal, Givens, Householder, permutation, and row or column symmetric matrices. A precise correspondence of the singular values and singular vectors between the unitary-symmetric matrix and its mother matrix is derived and proved (hence a fast algorithm of singular value decomposition for unitary-symmetric matrix is straightforwardly obtained), and the corresponding perturbation bound is provided.

该章揭示了酉对称矩阵、正交对称矩阵、 Givens 对称矩阵、 Householder 对称矩阵、置换对称矩阵和行对称矩阵之间的逐级包含关系；推导并证明了，酉对称矩阵的奇异值和奇异向量与母矩阵的奇异值和奇异向量之间的定量关系，据此可得酉对称矩阵奇异值分解的快速算法；给出并证明了摄动矩阵的摄动界。

During the inexorable course of pregnancy, I often sat in still contemplation and probed the living environment, space, medium, sleekness, and action within me. I assembled these behaviors and thoughts intelligible to the real world into the alien sensation of being parasitized. For its part, the parasitic entity kept up an intimate connection and mutually bound relationship with the subject. This ambiguous, chaotic experience was communicated solely through the "divine music," which was the only way that it could approach a state of "clarity" in visual language.

在妊娠必经的历程中，我经常以静坐的方武来触寻体内生命的活动环境、空间、媒介、润滑、运行等等，以这些现世界能够理解的行为思考，组合出一种被寄生的外来戚，而此寄生体则时时与主体保持息息相连和相互牵系的关系，此暧昧混沌之经验，唯藉著「宫籁」的沟通，才有可能在视觉语汇中，贴近「清晰」状态。

A short-lived and undoubtedly 'fantastic' stint was brought to an end after The Doctor sacrificed himself, just like his fifth incarnation, to save his companion. Cellular degeneration and regeneration into Barcelona-bound David Tennant ensued once he sucked out and absorbed the Time Vortex from Rose Tyler's mouth. Has anyone else ever found a better pretext for a sloppy snog?

在一句"fantastic"后，博士牺牲了自己，就像他第五个肉身一样，为了拯救他的搭档；从Rose Tyler嘴里吸出时间漩涡能量后，华丽丽地重生为DT版博士；对于这个庸俗伤感的吻，还有谁能找到更好借口吗？

In the second stage the Consistency bound is used for a linear program whose solution is a priority vector by means of LINDO or MATLAB.

最后，通过具体实例对模型的灵敏性进行了分析，给出了不一致性判断的识别方法。

In spherical polar coordinates, DRSC potential have supersymmetry and shape invariance for θ and r coordinates. By using the method of supersymmetry and shape invariance, exact bound state solutions of Schrodinger equation with double ring-shaped Coulomb potential are presented. The normalized angular wave function expressed in terms of Jacobi polynomials and the normalized radial wave function expressed in terms of the Laguerre polynomials are presented. Energy spectrum equations are obtained.

本文研究了双环形Coulomb势Schrdinger方程的束缚态精确解，所采用的方法是首先对双环形Coulomb势的Schrdinger方程在球坐标系中进行分离变量，得到相应的角向方程和径向方程；证明双环形Coulomb势在角向和径向具有超对称性和形不变性；根据超对称性和形不变性的性质，获得了角动量量子化条件和束缚态的能谱方程，并将归一化角向波函数用Jacobi多项式表示，将归一化径向波函数用Laguerre多项式函数表示。

Trust us, if you stare at their pictures for long enough, you're bound to become another squealer.

相信我们，如果你盯着这些照片看上一段时间，必定会成为另一个尖叫粉丝。

To the inside pages of a book bound notebook of months in the ear, for example, the processing in the Mainland adopt a section of the manual punching makes product month ear depth, and assumes the stepladder.

以精装笔记本内页中的月耳为例，国内的加工方法多数采用一段一段的手工冲切，做出来的产品月耳深浅不一，而且呈阶梯状。

In the coming months western criticism of China is bound to gain in stridency as governments, media and NGOs join hands to condemn China for lending diplomatic cover to those perceived as violating human rights when their real worry is geopolitical and geostrategic concerns.

在未来数月，西方对中国的批评必将大增，各国政府、媒体及非政府组织联手谴责中国给那些所谓的违反人权行为提供外交掩护，但他们真正关心的是地缘政治及战略利害。

All of our dreams are bound to come true as long as we keep striving for them.

我们所有的梦想都能成为现实，只要我们有勇气去追求。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。