算出

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。

The system parameters are determined by optimizing an output-error cost function. To deal with the non-uniqueness of the fully parameterized state-space system, a projected gradient search algorithm is presented by restricting the update of the parameters to the tangent space to the manifold of observationally equivalent state-space systems. The sufficient condition to employ L-M algorithm for optimizing parameters is also introduced. The proposed hierarchical optimization identificationmethod includes two steps: First, the parameter search direction is determined by the proposed adaptive L-M projected gradient approach; Second, the optimum step size is computed according to a line search method.

通过极小化输出误差目标函数获得了系统参数估计；提出了正交梯度搜索方法用于解决系统参数的非唯一性问题，正交梯度搜索的本质是在输入-输出等价类相切平面的正交垂空间更新系统参数；给出了用 L-M 算法进行参数优化的充分条件；提出的系统参数递阶优化辨识方法包括两步：首先用给出的自适应 L-M 算子正交梯度方法确定参数优化方向；其次由一维搜索方法计算最佳步长。

For the definition of two damage variables,damage variable and damage evolution equation are derived respectively.

针对两种损伤的定义，给出了损伤变量和损伤演化方程，同时用损伤力学定义了边坡的安全系数为极限损伤与最大损伤变量之比，并给出了应用算例。

According to fifteen sorts of eigenvalues,the specific solution to a type of homogeneous equation with harmonic operator of six steps polynomial in cylindrical coordinate is obtained by the variable method, and the method of determining the constant is given.

对圆柱坐标系下齐次6阶"多项式"形式的调和算子方程，按本征值分15种情况分别给出了其分离变量解的具体形式，给出常数的确定方法；并将结果推广到各种非齐次情况和非轴对称情况。

We've struggled at home this season but in midweek we were patient and got our rewards.

我们本赛季在主场的比赛不算太好，但对阵桑德兰的比赛我们表现出了应有的耐心以及发挥出了自己的特点。

In this paper, two optimal experiment points and optimized calculation method for experiment time are provided on the base of the principle of confidence field capacity minimality.

用置信域容积最小作为实验设计的原则，给出了两个最佳实验点的位置，为实验时间的长短给出了具体的优算方法。

"Then," I continued,"no physician, in so far as he is a physician, considers his own good in what he prescribes, but the good of his patient; for the true physician is also a ruler having the human body as a subject, and is not a mere money-maker; that has been admitted?"

"那好，"我继续说，"没有一个医生会这么看，如果他还算是个医生的话，他在处方上能写出自己的利益，而不是写出患者的利益；现实中的医生也算得上是作为其利益对象的人类身体的统治者，而不只是赚钱的商人；这点你承认吗？"

First, the proposed scheme uses contourlet transform to extract multidirectional and multiscale texture information, and then obtains the feature points invariant to the affine transformation from the low and middle directional subbands by Harris-Affine detector. Second, the feature regions are adaptively computed by the feature scale of the local structure and normalized by U transform. The watermarking is embedded adaptively in those characteristic regions which are normalized. Finally, by vector quantization, several copies of the watermark are embedded into the no overlapped local feature regions in different directional subbands.

首先，用Contourlet变换提取出多尺度、多方向的纹理信息；再用Harris-Affine检测算子从变换域的中、低频方向子带中提取出仿射不变特征点，结合自适应局部结构的特征尺度确定特征区域，并用U变换对其归一化处理，水印就自适应地嵌入到归一化后的区域中；水印嵌入采纳矢量量化的策略，将水印信息重复嵌入到不同方向子带、多个不相交的局部仿射不变特征区域。

According to the definition of an interval number complementary judgment matrix, the definition of complete consistency and satisfactory were introduced.

根据区间数判断矩阵的概念给出了区间数判断矩阵的完全一致性定义，通过对完全一致性性质的讨论演绎出区间数判断矩阵的一致性和满意一致性定义及其判别方法，并且研究了一致性和满意一致性定义的合理性，提出了求解区间数判断矩阵排序向量的递推排序方法，最后用算例验证了方法的有效性。

The above presented methods are applied to solve the 2D harmonic equation. Numerical examples show satisfactory results.

对上述提出的方法，本文以二维调和方程的不同边值问题为例，推导出相应的计算公式，并在随后给出相应的数值算例，数值实验的结果是令人满意的。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。