对称

We have obtained the following main significant results:(1) A master constraint operator for LQG is constructed, which is shown to be self-adjoint in the diffeomorphism invariant Hilbert space. Thus it lays a foundation for the master contraint programme in LQG;(2) The Immirzi parameter ambiguity in LQG is fixed by introducing supersymmetry, which leads to the conclusion that in the case where matter fields are coupled LQG might prefer supersymmetry in low energy;(3) The current accelerating expansion of our universe is successfully explained in the context of 5-dimensional Brans-Dicke theory, which gives a natural strategy to solve the dark energy problem.

重要成果包括：(1)构造出圈量子引力的Master约束算符，并证明了其自伴性，从而为应用Master约束方法解决量子动力学的难题奠定了基础；(2)通过引入超对称合理地固定了Immirzi参数，得出了在与物质场耦合的低能情况下圈量子引力可能偏爱超对称的结论；(3)用五维Brans-Dicke理论成功地解释了当今宇宙的加速膨胀，从而给出了一个自然解决暗能量问题的方案。

As a re-sult, a wide classes of partial differential equations of this form which admit potential symmetries are obtained by systematic classifica-tion methods.

我们通过系统的分类方法得到了一大类允许势对称的这种形式的方程组，并给出了它们的对称群。

The X-ray double-crystal diffraction rocking curve measurements show the full-width half maximum of 180" and 185" for (0002) symmetric reflection and (10 12) skew reflection,respectively.A room temperature mobility of 850cm2/ is obtained for a 3μm thick GaN film.

GaN材料的X射线双晶衍射摇摆曲线(0 0 0 2 )对称衍射和(10 12 )斜对称衍射半宽分别为 180"和 185"；3μm厚GaN薄膜室温电子迁移率达到85 0cm2 /。

The owners and the executives of a business are principals and agents. Therefore, there are so called "agency problems" between them, such as "different objectives and interests","disproportional control of information", and "disproportional responsibilities and risks".

企业的所有者和企业的经营者之间的关系，是委托人和代理人的关系，这样，在两者之间就存在"目标利益不一致"，"信息控制不对称"，"责任风险不对称"的所谓的"代理问题"。

On the western side of the central normal of the disturbance source in the heliospheric equatorial plane, the double shock pair structure is more evident, and the longitudinal span is wider than those on the eastern side.

双重激波对在子午面内相对扰动源中心法线基本对称，而在赤道面内则不对称：扰动源中心法线西侧双重激波对结构更为明显，所跨经度范围宽于东侧。

On the western side of the central normal of the disturbance source in the heliospheric equatorial plane, the double shock pa ir structure is more evident, and the longitudinal span is wider than those on t he eastern side.

双重激波对在子午面内相对扰动源中心法线基本对称，而在赤道面内则不对称：扰动源中心法线西侧双重激波对结构更为明显，所跨经度范围宽于东侧。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

By using the secondary unit matrix, the inverse problem of secondary eigenvalue of anti-skew-symmetric is solved.

本文在对问题的理论推导中，充分利用了次单位矩阵的作用，提供了将次反对称矩阵的逆次特征值问题转为反对称矩阵的逆特征值问题来解决的新思路。

Furthermore, all solutions obtained are non-radially symmetric. The second part of the thesis studies a type of elliptic equations with singular coefficient i.

与以前工作不同的是，尽管问题具有径向对称形式，本文所给出的这些解都是非径向对称的。

The elliptic type governing equations, subject to free boundary conditions, have been solved to sutdy the velocity, temperature, and pressure distributions throughout, as well as local Nusselt numbers from 10/sup 2/ to 10/sup 6/ are presented for both symmetric and asymmetric heating cases, and the influence of wall temperature difference ratio, r'/sub T/ on the flow pattern is also considered.

由求解椭圆型统制方程式及利用自由边界处理方法，来计算整个流场的速度，温度和压力分布，以及在板面上之局部纳瑟数。葛拉修数的计算范围为102-106，且包括对称及不对称加热二种情形，尤其是二板温差比。gamma。/sub T/对流场的影响方面。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。