有限

The present paper presents a short proof of the conjecture that a ring with a finite maximal subring is a finite ring.

摘要给出猜测"包含有限极大子环的环是有限环"的一个简短证明。

Based on the surjection of maximal monotone operators, we prove that some semilinear heat equations with weak Lipschitz nonlinear terms are exactly controllable by L〓 0, T: H〓(Ω control; Based on the critical point theorem of coercive convex functionals, we prove that some parabolic equations with Lipschitz nonlinear terms are globally approximately controllable and finite-dimensional exactly controllable by controls acting on mobile supports, and finally, we extend the results to parabolic equations in R〓.

首先利用极大单调算子的满射原理证明了半线性热方程在较弱Lipschitz条件下可通过L〓0.T；H〓(Ω控制实现精确能控。然后通过构造强制凸泛函并利用其临界点理论证明了带Lipschitz非线性项的抛物型方程可通过作用在在移动支集上的控制来实现整体近似能控与有限维精确能控，最后将整体近似能控与有限维精确能控结论推广到无界区域R〓上。

Seems you really enjoyed your delicious dessert and your tea. But for me, I prefer fruits to sweeties, just like my mother.

生命是有限的，在辛苦工作之余，我们也要在有限的时间里充分享受人生。

Some teleconference calls provide free service for a limited small number of attendees and limited features.

有些提供免费服务电话来电有限少数与会有限的特点。

But the investment market in the area, on China's investment climate is still quite strong, so we see a lot of foreign capital has entered the Shanghai market, but the source of funds is still limited in Singapore, Hong Kong, China and other places, from Europe and the United States limited funds.

但是，投资市场在该地区，对中国的投资环境仍然相当强劲，所以我们看到很多的外国资本已进入上海市场，但资金来源仍是有限的新加坡，香港，中国和其他地方，来自欧洲和美国的资金有限。

However, the resources are limited, and how to effectively utilize the limited resources has become urgent to solve.

但是，资源是有限的，如何有效地利用有限的资源成了现在迫切解决的问题。

Based on a thorough analysis in software auto-generating technology and monitor-control program in industry area, improves the formal definition and minimization algorithm of automata theory, designs an system environment of auto-generating monitor-control program.

在对软件自动生成技术和工业控制领域的测控程序实例进行深入分析的基础上，改进有限自动机理论中有限自动机的形式化定义及其化简算法，通过研究，设计实现了一个自动生成测控程序的系统平台。

Prof. Hsio-Fu Tuan,a member of Academia Sinica and eminent mathematician in China, has made outstanding contributions in the theory of modular representations of finite groups, algebraic Lie algebras and the study of p-groups,especially their "Anzanl" theorems.

从30年代末开始，他在有限P群、有限群模表示论和代数李代数方面做出了一系列重要贡献，得到了被冠以布饶尔－段－斯坦顿原则，布饶尔－段指标块分离原则，布饶尔－段定理等名称的突出成就，在中国开辟了代数群论等研究领域并形成了富有特色的研究群体。

The life is limited and the time slice will be also limited.

人生有限，时光切片也会有限。

Since the set of the centres of these balls is finite, it has finite diameter, from which it follows that every totally bounded space is bounded.

因为这些球的中心的集合是有限的，它有有限半径，从而得出所有完全有界空间是有界的。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。