有限论

Prime ideal decomposition is an important problem in algebraic number theory and is relative closely with the class field theory and so on.

素理想分解问题是代数数论中的一个重要课题，它与类域论的关系极为密切，因而如何判断K的素理想在K的有限扩张中的分解状况是一个十分有意义的问题。

Analogously, we investigate finite groups in which all m∈cdq〓 are"small".

在第五章中，我们考察每m∈cdq〓都"很小"时有限群G的群论性质。

How does one maintain a constant surplus for hospitals and keep quality of patient care with limited resources? One of the solutions is to reforming the payment system of the NHI is capitation—everyone pays the same fee.

因此如何在有限的资源下，使医疗院所能保有一定的盈余，使需要就医的民众得到合适的照护，健保支付制度的改变是必须的，而论人计酬是可以加以考量的。

In the representation theory of finite-dimensional algebras, combinatorial tools as quivers and their representations provide effective method in computing Hochschild homology and cohomology groups of finite-dimensional algebras.

代数表示论中的组合工具—箭图及其表示的发展和应用，为计算有限维代数的Hochschild同调群与上同调群提供了有效的方法。

To investigate how element order s influence the structure of a finite group is an important subject in group theory.

考察元素的阶如何影响有限群的结构是群论中的一个重要课题。

Group of transformations play an important role in geometry, and finite groups are fundamental in Galois' discoveries in the theory of equations.

变换群在几何学里充当重要角色，而有限群是伽罗华在方程论发明的基础。

This software can be patients with the information input through the process, the ancient doctors were integrated Treatment views, but also for clinical physicians with limited thinking and prescription for reference at the same time, also the daughter of hard to get a party drug manufacturers of the various sources of income rolling.

此软件可将患者的资料通过程序输入，得到古代名医们的综合辨证论治意见，也为临床医师们有限的思考和处方提供借鉴，同时，也是千金难求一方各药厂商们的滚滚财源。

The dissertation, from the view of the changes in the theory of strategic planning, in the planning forecast, in the development of strategic tools and innovation of strategic pl anning technology, clarifies and criticizes the planning forecast of the absolute rationalism and the indeterminism of the post-modernism and finally indicates the ides of alternative forecast on epistemology and theory of practice.

从战略规划理论体系的变革、规划预测思想的转变、战略工具的发展和战略规划技术路径创新的角度出发，本文澄清和批判了绝对理性主义完全预测论和后现代主义的不可预测论，明确提出要坚持认识论与实践论上的渐进主义和有限预测思想。

It offers one of the most convenient framework, to deal with a large number of par-ticles,which is often referred to as the 'Many -Body Problem.

研究QGP的理论基础是有限温度下的QCD，在70年代中期，正是这种有限温度量子场论预言了QGP这一新物质形态的存在。

Firstly, we give a necessary and sufficient condition for a nonnegative square matrix to be decomposed into a product of a finite number of irreducible nonnegative matrices in chapter 1. We prove it by using Frobenius normal form in combinational matrix theory and associated directed graph in graph theory. In addition, we can limit the number of factors to three, and construct every factor.

首先，在第一章中，我们给出了一个非负矩阵可以分解成有限多个不可约非负阵的乘积的充要条件，证明过程利用了组合矩阵论中的Frobenius标准型和图论中的伴随有向图，并且将乘积中的因子个数限制到三个，具体地构造出了分解式中的每个不可约非负阵。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。