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The decision problem of isomorphism for trees is solvable in linear time.

树同构的判定问题在线性时间内是可解的。

As it is well known,the graph isomorphism problem is one of a very smallnumber of problems neither known to be solvable in polynomial time norNP-complete.

目前理论上还无法证明图的同构问题究竟属于NP—完全问题还是P问题。

The paper analyses material transportation problem and give the solvable methods; analyses delivery vehicle route problem, and then construct its corresponding mathematical model and present a heuristic algorithm based on C—W algorithm; analyses the optimum scheduling problem of trucks, and then construct its corresponding mathematical model and put forward a new algorithm; analyses the Postal Transportation Problem which will perhaps be used in supply chain of manufacturing system, and then construct its corresponding mathematical model and present an approximation algorithm.

分析了制造系统供应链中供需平衡、供需不平衡、有转运等各种情况下的物资调运问题,给出了求解方法;分析了制造系统供应链配送作业中的配送车辆路线问题,建立了相应的数学模型,提出了一种基于C-W算法的启发式算法,该算法较好地解决了有时间约束的配送问题;分析了制造系统供应链中的货运卡车优化调度问题,建立了相应的数学模型,提出了一种基于表上作业法的求解算法;分析了制造系统供应链中有潜在利用价值的邮政运输方式问题,在详细描述了该问题的基础上,建立了相应的数学模型,提出了一种近似求解算法,该算法较好地解决了邮政运输方式这样的多种物流、多种运输方式,有严格时限和众多外部约束的特大型、复杂、并行的交连系统的计划调度问题。

It is also proved that the class of monotone increase functions is PAC solvable under a GA with reproduction and random mutation.

本文还证明了对于由复制和一个按顺序的变异构成的遗传算法,严格单增的函数是PAC可解的,单峰函数是非PAC可解的;对于由复制和随机变异构成的遗传算法,严格单增函数是PAC可解的。

As two important tools, the weight space decomposition of modules of a nilpotent Lie algebra (Section 1) and irreducible finite dimensional representations of solvable Lie superalgebras (Section 2.3) are presented in detail.

讨论过程中,作为两个重要的工具,对幂零李代数其模的权空间分解(第1节),以及可解李超代数的有限维不可约表示(第2.3节)也作了详细的介绍。

The reader will need to know some basic finite group theory: the Sylow theorems and how to use them and some elementary properties of permutation groups and solvable and nilpotent groups.

读这本书之前,读者需要一些有限群论的基本知识,如Sylow定理及其应用,置换群,可解群和幂零群的基本性质等等。

In the present paper,we investigate solvable radicals and Hopkins nilpotent radicals for Lie triple systems and prove that both radicals are invariant under actions of deriva- tions.

本文讨论李三系的可解根基和Hopking幂零的某些性质及导子作用下的不变性,讨论了李三系次理想的某些性质,证明了李三系为幂零的当且仅当每个子系都是次理想。

One of the cases was showed in theorem 4.18: finite group G is solvable if and only if Sec is nilpotent for every maximal subgroup At without prime index in G.

在本文中作者将要证明:G可解当且仅当对G中的任意极大子群M,或者I中存在极大元C使C/K幂零并且其Sylow2-子群的幂零类≤2,或者Sec为2-闭。

Nilpotent and solvable Lie groups with left-invariant Riemannian metrics play aremarkable role in Riemannian geometry.

在黎曼几何中,带有左不变黎曼度量的幂零和可解李群具有重要作用。

Every thing is obtainable or solvable no matter what it is.

任何事都是可以解决的。

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"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了,您现在高兴了,"她说道,这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说:"失节的以色列比失信的犹大,更显得正义。

I do my best to guide my congregation,ok?

我尽了全力引导会众明白吗?