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Not every subgroup of a D-group is also a D-group. If a subgroup is a D-group we call the subgroup "sub- D -group." The "commutator ideal" of G is the smallest sub-D-group containing its commutator subgroup. We found that the commutator ideal can be viewed as a finitely generated module over a ring when G is a finitely generated metabelian D-group.

并非每个子群都是一个可除群，若一个子群是可除群，我们称之为子可除群(sub-D-group)，而G 的交换子理想则是在G中包含其导出群的最小子可除群，我们发现当G是一个有限生成亚交换可除群时，其交换子理想是一个有限生成模。

Therefore, the main characteristics of this paper are:(1) Given orbits generated correlation theory of learning subspace which is the base of researching algorithm;(2) Advanced orbits generated Breadth first, Depth first and Heuristic algorithms, enrich and develop the basic content of LML further;(3) Given corresponding examples to validate the algorithms. However, all the work is tentive and much needs advanced research.

由此可以看出，本文的特色主要体现在以下几个方面：(1)给出了李群机器学习子空间轨道生成的相关理论，为研究学习子空间轨道生成算法奠定了基础；(2)提出了李群机器学习子空间广度优先轨道生成学习算法，深度优先轨道生成学习算法以及带有启发信息的轨道生成学习算法，丰富和发展了LML的基本内容；(3)对所提出的算法给出了相应的实例验证。

By using the technigue of pointwise representation, this paper goes somewhat deeper into the theory of fuzzy subspaces. It has mainly studied the structure of generated fuzzy subspaces, and various relations between a fuzzy set and its generated fuzzy subspace are given. Furthermore, a pointwise representation theorem for fuzzy subspaces is presented.

本文利用点态表示方法进一步探讨了Fuzzy子空间理论，着重研究了生成Fuzzy子空间的结构，给出了Fuzzy集与其生成Fuzzy子空间之间的各种关系，进而，文章还给出了Fuzzy子空间的一个点态表示定理。

Rapid transient electromagnetic pulse generated by impulse voltage discharge may cause serious interference to high voltage measurement, cause disoperation or damage to experimental equipment, and also may cause potential harm to person on-site. Similar question exist in many high voltage laboratories, and it is an important research subject of high voltage measurement. Electromagnetic interference generated by impulse voltage discharge is the most serious interference in high voltage test hall.

冲击电压放电产生的快速暂态电磁脉冲可能对高压测量造成很大的干扰，引起设备的误动或损坏，也可能对人身造成潜在的危害，类似的问题在许多高电压实验室均存在，是高电压测试技术中的一个重要研究课题，冲击电压放电产生的电磁干扰是高电压试验大厅设备中最严重的，随着电子测量控制设备和高参数试验设备的日益增多，这个问题在高电压实验室已经十分突出。

The solitary wave can be generated considering Goring and Raichlen's movement of a paddle. The proposed original linear solution for the solitary wave generation is expressed in the hypergeometric function. Two disadvantages of the original solution with large trailing wave and skewed wave profile are found by comparing with the theory of solitary wave derived from Boussinesq's equation. The difference between the original linear solution and the solitary wave theory results from the nonlinearity and dispersion of generated waves in the flume.

本文并以弱非线性的孤立波造波问题做为解析之对象，由於孤立波造波板速度为一超越函数，造成解析上的困难；本文以 hypergeometric 函数推求常微分方程式之全解，并与理论波形解比较后，发现由於未考虑非线性及分散性过强等问题，使得线性暂态解较理论波形拉长与歪斜，可能无法有效描述孤立波造波问题，故针对线性之分散关系做出修正。

Obviously, the optimization management in middle-sized or small cities of China is very necessary. The basic characteristics of municipal solid waste generated in middle-sized or small cities of China are put forward in the paper. The total amount of municipal solid waste generated in middle-sized or small cities is significantly less than that in large cities. The amount of garbage is about 1 kg per capita and year. In the garbage, inorganic material is more than organic material, the combustible less than incombustible and the amount of uncompostable garbage more than the amount of garbage that can be disposed for composting. The value of heat of garbage is about 800 kal/kg.

通过总结，我国中小城市生活垃圾的基本特点为：各城市的生活垃圾产生量相对较小，人均生活垃圾产生量大约在1kg/d左右；垃圾组分中以煤渣、灰土为主的无机成分含量过高，可回收物质成分含量很低，不可燃成分多于可燃成分，不可堆腐成分多于可堆腐成分，垃圾热值大约在800kal/kg左右；并且在我国，南方城市与北方城市，经济发达城市与欠发达城市之间的生活垃圾产生量与组成也存在着明显的地区差异。

Finally, there is a part of the generated pulse Multivibrator Based on square wave can be generated, you can use it to generate a pulse signal.

最后还有一个部分就是脉冲的产生基于多谐振荡器可以产生方波，就可以利用它来产生脉冲信号了。

On the basis of the study on the petrology, Trace element, and isotopic geochemistry, the primary magma of volcanic rocks can be divided into two series according to their originated rocks and degree of partial melting. One is the basanite-alkaline basalt-Olivine tholeiite magma series, which are generated by partial melting from spinel Iherzolite; the other is nephelinite magma-alkaline picritic basalt magma, which are generated by partial melting of the garnet Iherzolite.

岩石化学、微量元素、同位素地球化学证据都表明，华北、华南地区的火山岩根据源岩和局部熔融程度的不同，可以分为两个原生岩浆系列：一个是源岩为尖晶石二辉橄榄岩，随着局部熔融程度的增加，形成的碧玄岩岩浆-碱性玄武岩岩浆-橄榄拉斑玄武岩岩浆；另一个是源岩为石榴石二辉橄榄岩，随着局部熔融程度的增加形成的霞石岩岩浆-碱性苦橄玄武岩系列。

The idea is that this energy is generated purely as a result of an instinctive drive to perform the activity, and will overspill into displacement activities if it is not utilized in carrying out the particular action for which it has been generated.

这种能量用于执行固有行为模式或天生行为。相关理论是这种能量的产生只是纯粹的执行行为的内驱力的结果。如果此能量已经产生而此特定行为却未能发生时，则会漫溢而产生替代行为。

3Asphalt fractionated by evaporation results from the mixing of light paraffin series generated in the later stage and normal or heavy oils generated in the earlier, resulting in the precipitation of asphalt from liquid oil because of the unstable state.

燕发分馏沥青是指晚期生成的轻质石腊族烃与早期生成的正常原油或稠油相混，造成不稳定状态，造成沥青从液态石油中析出。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。