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This paper presents a new method to estimate unknown projections. To achieve better results, we make use of the discrete Radon transform and a set of discrete orthogonal Tchebichef polynomials to establish relationship between the projection moments and the image moments, and then estimate the unknown projections from the known projections using this relationship.

提出一种新的投影数据估计算法，利用离散Radon变换和Tchebichef正交多项式建立图像矩和投影矩之间的关系，并用这种关系从已知投影数据中估计未知投影数据，达到提高重建图像质量的目的。

First of all, the basis of the MRTD method is studied. In Chapter 2, wavelets analysis and multiresolution analysis, the mathematical basis, are introduced, and the characteristics of the wavelets basis functions, including orthonormality, compact support, multiresolution and so on, are also introduced. The advantages of the applications of these functions to the numerical electromagnetic calculations are discussed. In Chapter 3, the algorithm basis of MRTD: the combination of the wavelets and the method of moments is studied. This Chapter shows that the MoM based MRTD method is the combination of wavelets and MoM using Galerkin sampling.

文中首先讨论了 MRTD 的建立基础，其中第二章介绍了其数学基础－小波分析及多分辨分析，讨论了小波基函数的性质包括正交性、紧支撑性、多分辨性等及其应用于电磁场数值计算的优势；第三章讨论了其算法基础－小波与矩量法的结合，阐述了以矩量法作为算法基础，以 Galerkin 离散采样的方式与小波函数结合而产生了 MRTD。

First of all, the basis of the MRTD method is studied. In Chapter 2, waveletsanalysis and multiresolution analysis, the mathematical basis, are introduced, and thecharacteristics of the wavelets basis functions, including orthonormality, compactsupport, multiresolution and so on, are also introduced. The advantages of theapplications of these functions to the numerical electromagnetic calculations arediscussed. In Chapter 3, the algorithm basis of MRTD: the combination of the waveletsand the method of moments is studied. This Chapter shows that the MoM basedMRTD method is the combination of wavelets and MoM using Galerkin sampling.

文中首先讨论了 MRTD 的建立基础，其中第二章介绍了其数学基础－小波分析及多分辨分析，讨论了小波基函数的性质包括正交性、紧支撑性、多分辨性等及其应用于电磁场数值计算的优势；第三章讨论了其算法基础－小波与矩量法的结合，阐述了以矩量法作为算法基础，以 Galerkin 离散采样的方式与小波函数结合而产生了 MRTD。

As for CdSe quantum dots with the same size, we found that the inclusion of Mn ions in the dots will magnify their paramagnetism at low temperature, and the size effect will be quenched.

Mn的掺杂行为同时会破坏电子轨道运动贡献的顺磁矩与抗磁矩，使得磁化率在不同温度下由小磁场到大磁场的偏移变小，量子点的磁性尺寸效应将被减弱。

To make local torque with torque plier sets.

用于弓丝的局部转矩，配转矩卡使用。

In this paper, we research the feasibility of using the Walsh and Ranktransformation characters as match primitivity in replace of gray character of image. Theexperiment results indicate that the approach is feasible and got a better result comparedwith using grey character as primitivity.

矩理论在图像分析和处理方面有着广泛的应用，从数字图像计算出来的矩集，通常描述了该图像的全局特征，并提供了大量的关于该图像不同类型的几何特性信息。

The probability density of state space was expressed approximately by the first-order statistical moment.

采用一阶统计矩近似表示状态空间的概率密度，通过蒙特卡罗模拟近似表示一阶统计矩，从而实现多目标跟踪。

Using a direct differentiationtechnique, a recursion formula for the evaluation of polymer mo-ments is deduced and the 0-th, 1-th and 2-th moments in explicitforms are given.

利用微商法给出了k-次矩满足的递推公式以及0-次、1-次和2-次矩的具体表达式。

Moreover, a recursion formula involving the Kth and (K+1)thpolymer moments are deduced. As a result of the recursion formula, theexpressions of the 0-th, 1-th, 2-th and 3-th polymer moments as wellas the number-, weight- and Z-average molecular weight are obtained.

得到这两类反应体系的K次和（K+1次高分子矩的递推公式，分别计算了两类反应体系0、1、2和3次高分子矩，进而得到了相应的数均，重均，Z均分子量。

Simulation results indicate that remanence and magnetometer bias can be estimated correctly by this method.

仿真结果表明：该方法能准确估计卫星剩余磁矩与磁强计偏置，磁强计偏置的标定精度在1nT左右，剩余磁矩的标定精度为0.0001A·m^2量级，有效消除了剩磁对无陀螺卫星姿态确定的影响，显著提高了姿态确定精度，滤波器能在500s内收敛。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。