理想

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。

Fiona Life's ideal is for ideal life.

生活的理想是为了理想的生活。

It's M2 factor is approaching the ideal value 1 and the beam intensity profile remains Gauss Profile. Laser beam with good propagation and focus characters. The beam can propagate a long way and can be focused with lens with long focal distance. The focal beam waist radius is 134μm, the focal distanced of the focus lens is 300mm. It's focal depth is about 5mm and the focal shift is about 1mm in the range of processing (3m).

结果表明，Slab CO2激光器具有高光束质量，其M2因子非常接近1的理想值；激光束具有良好的传输和聚焦性能，可以长距离传输；使用焦距为300mm的聚焦镜聚焦，聚焦光斑的束腰半径约为134μm，光束横截面能量分布接近理想的高斯分布，焦深约为5mm，在加工范围内(3m)，激光束的焦点漂移量大约为1mm。

With the help of regional forces, the Western literature is described as a "otherness", with super tempo-spatial abstractness and idealism, which provides a transcendental and critical dimension, and thus special aesthetic styles and artistic works. Due to the overemphasis to spirituality and idealism, with more or less the away-from-the-reality complexity, the Western literature plunges into the crisis of fixness, typicality and formularization in creation.

西部文学借重于地域的力量，将西部塑造成了一个"他者"，具有超时空的抽象性和理想性，提供了一种超越的批判的维度，提供了独特的美学风格，同时由于过于强调精神性、理想性，也潜含着并且或多或少地透露出了因脱离现实复杂性，而陷入固定化类型化程式化的危机。

Lommel functions was used to represent the coefficients of ideal digital fractional differentiator, according to the relationship between two kinds of Lommel functions and the basic properties they each has, a new fast algorithm for coefficients of ideal digital fractional differentiator was presented.

利用Lommel函数表示理想数字分数微分器的系数，根据两类Lommel函数之间的关系和它们各自的基本性质给出理想数字分数微分器系数的一种新的快速算法。

In Grade 5, many ideals came to my mind suddenly, to be the costume designer, to be an environmental expert, to be the headmistress, to be the actress …… Now I have few ideals left, I want to be a frogman now, observing various creatures at the bottom of the sea, or just to be a common person , not known to the public, living my life quietly.

上到5年级，我的理想突然增多了。想当服装设计，当一名环保专家，当校长，当演员……到了现在我的理想渐渐少了。我现在想做一名潜水员，观看海底各种各样的生物，或者当一名普普通通、默默无闻的人，平静地度过我的一生。

According to theory analysis and example computation, the following conclusions are obtained.1. During the analysis on the cable shape in the suspension bridge"s completion state, the pre-displacement of saddle and the case that the cable and stiff girder commonly bear the second-stage dead load should be considered.2. When supposing the construction ideal initial state in the first time, if the initial state model is established according the cable"s span central sag in the bridge"s completion state, and the reasonable correction formulation is created in the iteration process, the result can converges fast.3. The cable shape in the bridge"s completion state is not parabolic, nor catenary. It is between parabola and catenary. Actually it is funicular polygon closer to the catenary.

通过理论分析和实例的计算表明：1在悬索桥主缆成桥线形分析过程中，须考虑主塔鞍座的偏位以及二期恒载由主缆和加劲梁共同承担的实际情况；2在第一次假设施工理想初态时，以成桥状态已知的主缆跨中垂度建立施工理想初态模型，同时在迭代计算的过程中，建立合理的修正公式，才能使收敛的速度快：3在成桥状态时主缆的线形既不是抛物线，也不是悬链线，而是介于抛物线与悬链线之间，更接近于悬链线的索多边形。

Chapter 2、When treat propagate problem of high power laser beams, ordinary assume beam to be ideal plane wave or Gaussian. Actually, beams is not ideal Gaussian or plane wave. The reason is that is phase aberraed and intensity nonuniform. In this chapter, we have developed a method on frequency conversion of aberrated beam. Based on statistical optics method and within the limits of thin crystal, we have studies on second harmonic generation of the phase aberrted beam. And the phase aberration is assumed to be a Gaussian random variable.

第二部分：在处理高功率光束传输问题中，通常假设光束为理想平面波或高斯型，而实际光束都不可能是理想的高斯光束或平面波，均会有一定的位相畸变及光强不均匀，本部分从统计光学的观点出发，在薄晶体近似下，建立了具有高斯型随机相位畸变光束倍频转换的一种统计描述方法，并对倍频转换光束的横向空间特性进行了分析。

And Dr. Ben Grimaldi says this about Envision Weight Loss: tested Envision with my dog, and her metabolism increased dramatically?

格雷马尔蒂医生这样评价理想减肥丸：我在我的狗身上实验了理想减肥丸，她的新陈代谢速度大幅增加。

Theoretically, Gun Xiang thinks that the pattern of non-sage and guileless people is the most ideal society. The pattern of Sage and guileful people is Guo Xiang' ideal society in reality.

在理论上，郭象认为"亡圣亡知"是最理想的社会，但是现实中的社会都是"有知"的，因而需要"圣知"来镇抚，"有圣有知"是现实中的理想社会，"亡圣有知"则是最混乱的社会。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。