定理

In this paper, we first give the Maschke's theorem of smash product A#H * about semisimple algebra , after studing smash product # definited by Y.

Doi 所定义的Smash 积＃，给出了Smash 积A＃ H＊关于半单代数的Maschke 定理；给出了可分代数与余可分余代数之间的对偶关系。

Theorem 2 gives the sufficient and necessary condition of continuous parameter set-valued submartingale existing Doob-Meyer decomposition.

定理 2给出了连续参数集值下鞅存在唯一的Doob Meyer分解的充要条件

Theorem 1 If the general term of the series is continuous on .and is unanimous convergent with the sum function on .

定理 1 如果级数的各项在区间上连续，且在区间上一致收敛于，则在上也连续。

The second of our main results is(5.2.4)Theorem.

我们的第二个主要结果是(5.2.4)定理。

At first, in this paper, the concept and type were introduced; afterwards, how to apply counter-examples in the higher mathematics was expatiated particularly in such aspects: concept、theorem、rule、formula and distinguishing true and false of the proposition; Finally, the construction of counter-examples was explored using special example、character、the method of approach as well as intuitional geometrical graphics.

本文首先简要介绍了反例的概念和类型；然后从概念、定理、法则、公式以及判别命题真假等几个方面，详细阐述了在高等数学中如何应用反例；最后，从利用特例、性质，采用逼近的方法以及直观的几何图形几个方面探讨反例的构造。

The result "If X is a solution of a categorial equation, then there exists an unique essential solution Y such thatY X"makes it possible that the essential catgories of a word could generate all possible syntactic categories by some deductive rules.

定理&对于范畴方程的任意一个解x，都存在唯一的本质解Y使得Y x&使得我们可以通过一定的演绎规则对词w的本质范畴作扩张以得到w的所有句法范畴。

The Double-base Teaching is one of traditional features in the mathematics" education in our country, which focuses on how to cultivate the students" inquiry ability in the daily teaching. First of all, from the beginning of the double-base teaching, we pay attention to the original knowledge during the teaching of concepts, definitions, theorems and formulas. In the case of exercising lessons, we conclude, summarize and train the student"s emanative ideations. In the review lessons, we care about the interconnections of various knowledge. Next, because theopen subjects have the better functions to be researched, we create them in the daily teaching. It is also a very important approach to cultivate the students" inquiry ability.

重视双基教学是我国中学数学教学的传统特色，在日常教学中培养学生的探究能力，应首先从双基教学开始：在概念、定义、定理、公式的教学中注重知识的起源；在例习题教学中，注重归纳、小结及训练学生的发散思维能力；在复习课的教学中注重各知识的相互联系；其次，由于数学开放题具有良好的探究功能，因此，在日常教学中适当创设数学开放题，也是培养学生探究能力的一个重要途径。

Latter offerred all sorts of version " impossible sex " theorematic, former the constitutional economics principle that offerred democracy, both is faced with the political economy that is not western society to examine and be amended of practice, especially economic behavior person is right the illuminate of the meaning of balanced behavior, there are different kind and consequence in different society, can cause very different political economy system so.

后者提供了各种版本的&不可能性&定理，前者提供了民主政治的立宪经济学原理，二者都面临着非西方社会的政治经济实践的检验和修正，尤其是经济行为人对均衡行为的意义的阐释，在不同社会有不同的方式和后果，故而可以导致很不同的政治经济制度。

To Chinese industry website distributing, industry has not of existing writings " 66 " theorematic -- website of the whole nation's existing many 3000 industry, 6 is in long triangle area into concentration; Grow the industry website with trigonometry famous area, again 6 is in Zhejiang into concentration, and be given priority to with Hangzhou.

对于中国行业网站的分布，业界有个不成文的&六六&定理——全国现有的3000多家行业网站，有六成集中在长三角地区；长三角地区知名的行业网站，又有六成集中在浙江，并且以杭州为主。

Also: the renewal theorem, conditional probability and expectation, regular conditional distributions, stationary sequences aud the bergodic theorem, martingales, and the optimal stopping theorem.

更新理论，条件概率和期望，规则的条件分布，平稳序列和 bergodic 定理，鞅，最优停步理论。泊松过程，布朗运动，强马尔可夫性和不变原则。

After oxidation, pH value of the surface of carbon black has a specific relation with the volatile content.

氧化后炭黑表面的pH值与挥发分之间有一定的关系。

Knowing that such a person is warped and sinful; he is self-condemned.

因为知道这等人已经背道，犯了罪，自己明知不是，还是去做。