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The paper uses it to construct optimal algorithms for two dimensional cutting stock problem and parallel-machine problem.

文中采用该模型构造了求解板材套料优化和并行多机调度问题的优化算法。

The nucleus of two dimensional cutting stock problem is to resolve a assembled optimal problem.

板材排样问题的核心是解决一个组合优化难题。

In brief, systematic analysis and research on the difficult form-finding problem and cutting pattern problem in tension structures design and construction are given in this thesis. Practical computation method and theory are presented.

综上，本文对张拉结构在设计和施工中的难题——形状确定问题和裁剪问题，进行了系统的分析研究，提出了实用的计算方法和理论。

Set packing problem is originated from the application of cutting problem which is to divide the elements un- der strong constraint condition.

Set Packing问题起源于分割问题的应用，是在强约束条件对元素进行划分。

But the problem that brand risk is consumer irritated feeling probably, still perhaps include consumer to know not to know this kind of problem that extends pattern, and look be like the moral risk that has nothing to do with company profit, in 3 get together after a series of incident that cyanogen amine causes, the viewpoint of value of the enterprise can lean gradually in the seating arrangement in sort probably before.

但品牌风险或许是消费者烦不烦感的问题，也许还包括消费者知不知道此种推广方式的问题，而看似与企业利润无关的道德风险，在三聚氰胺引发的一系列事件之后，企业的价值观或许会在排序中位次逐渐靠前。

The problem of finding stabilizer quantum-error-correcting codes can be transformed into the problem of finding classical self-orthogonal linear codes over the Galois field GF(4) under a Hermitian inner product. A classical cyclic code over the field GF(4) is self-orthogonal with respect to the Hermitian inner product iff the generator polynomial of its dual code is a factor of its generator polynomial.

寻找量子稳定子码的问题可以转化为寻找GF(4)上厄米内积自正交的经典线性码的问题；对于GF(4)上的经典循环码，它是厄米内积自正交的，当且仅当它的对偶码的生成多项式是其生成多项式的因子。

In this paper a simplified mathematic model is represented for soluting the problem of laying precious stone s separately into the earth with direct-product cyclic group, with ansuwers to a concrete problem according to it.

提出用直积循环群作为宝石分埋问题的一个简化数学模型，并对一个具体问题作出了解答。

Cycling is part of solution to this problem, not the problem itself.

骑车是这个问题的解决方案的一部分，而不是问题本身。

Since the multiple scattering should be considered, the scattering problem of many-cylinders is more complicated than single cylinder. By using scattering matrix method to solve the scattering problem of many-cylinders, first we have to express the incident fieldand scattered field by special function（for example, Bessel function and Hankel function）under cylindrical coordinate, then use the addition theorem of special function to get a linear system of equations to relate the incident field coefficients and scattered field coefficients. The incident and scattered field coefficients for every cylinder can be solved from the linear equations by matching electromagnetic boundary condition pointwisely.

单颗圆柱散射体的散射场解析解很早就被解出，而多个圆柱阵列的散射场问题因为涉及到入射光在圆柱与圆柱间的多重散射，故散射行为较单颗圆柱的散射复杂，因此圆柱阵列的多重散射问题需要利用加法定理来处理；散射矩阵法的主要精神即是先用圆柱座标下的特殊函数对平面波和圆柱散射体的内外域电磁场做无穷级数展开，再藉由特殊函数的加法定理将所有圆柱散射体的展开中心移到同一个展开中心，最后可以得到一组连结整个散射系统的入射电磁场系数及散射电磁场系数的线性方程组，将该组线性方程配合电磁场在散射体边界的连续条件，便可分别求出圆柱阵列中各个圆柱体的内部电磁场与外部散射场，再利用线性叠加原理即可求得整个圆柱系统的全域电磁场分布。

Simultaneously, small parameter perturbation methods are employed to transform the problem of elastic wave scattering in cylindrical shell with a cutout into the iterative addition of a series of boundary value problems and to give a semi-analytical method for solving this problem.

同时，采用摄动方法，将含孔柱壳弹性波散射问题化成一系列边值问题解的迭加，给出分析求解本问题的半解析方法。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。