代数

However, despite such categorical pronouncements as "…the above shows that the ring is not the fundamental system for associative algebra of double composition "found in [Vandiver,1939], semirings never became popular and the interest in them among algebraists gradually petered out, although it never died completely.

这些年来，半环被各类研究者所探究或者是在他们的本身及尝试从半群理论和环论中拓展研究方法，或者联系于各种应用。然而，尽管这种范畴的看法"…上面表明环不是最基本的系统对于双复合结合代数"（这句话出自[Vandiver ，1939]）。半环没有受到他们的欢迎和引起他们的兴趣进而逐渐淡化，尽管没有彻底的消亡。

Number theory function; Smarandache function; Mean value; Asymptotic formula

基础科学，数学，代数、数论、组合理论数论函数； Smarandache函数；均值；渐近公式

This inspires us to use the method of localization at infinity of space to study the relevant index problems of coarse geometry.

用这种空间局部化方法，我们构造了新的指标代数并研究了相应的指标定理。

The main results in this chapter are as follows:Theorem 2.1.2Let〓be a countable atomic model.If〓is infinite,then〓is a countable atomic model.

本章的主要结果有：定理2.1.2若〓是可数的原子模型，〓不是〓的代数公式，则〓也是可数的原子模型。

The study of coalgebraic methods, as one of the active areas for theoretical computer science in recent years, is widely used in concurrence computing model, automat theory, and the foundations of object-oriented technology.

共代数方法是近几年来理论计算机科学的研究热点之一，在并行计算模型、自动机及面向对象技术的理论基础方面有着广泛的应用。

We shall use algebraic methods to study graphs which are highly regular although this regularity is not expressed in terms of the automorphism group.

我们将用代数方法来研究高度正则的图，尽管这种正则性不是用自同构群来表达的。

In chapter two, firstly I discuss the linear problem of local automorphism on AF C* algebra.

在证明过程中充分利用了代数的特殊结构—矩阵单位系这个工具。

Since it is easy to determine the generators of the maximal subalgebra N, we only need to figure out the image of the automorphism φ which applies on these generators.

事实上，极大幂零子代数N的生成元是很容易计算出来的，所以我们只需要计算出自同构φ作用在这些生成元上的像就可以了。

Combined KdV equation; Generalized KdV equation; Reduction-order method; Auxiliary differential equation technique; Solitarywave solutions; Periodic solutions; Solitons; Algebraic travelling wave solutions; Physical structures

基础科学，数学，数学分析KdV-mKdV方程；广义KdV方程；降阶法；辅助微分方程；孤波解；周期解；孤子解；代数行波解；物理结构

By simplifying the motorcycle's entity structure model and using the iterative data of a road simulator as the road simulation actuator,it calculates and analyzes values of acceleration's average square root for motorcycles,then evaluates their comfort ability by the relative standards.

方法是将摩托车实体结构模型进行简化，加入道路模拟的迭代数据作为模拟路况的激励，在ADAMS/PostProcessor的界面上进行加速度均方根值的计算和分析，采用相关评价标准对其舒适性进行分析评价。

They go to town. Would you just ask them?

他们在城里你能问他们吗？

Ossein pretreated for a2 weeks period exhibited the maximum% yield incase of bone gelatin, while the yield from intact skin was higher than that realized incase of de-scaled skin.

预处理时间达2星期的骨胶原表现出最高的骨明胶百分产量，然而从未处理鱼皮中得到的产率比去鳞的鱼皮得到的要高。