在算法上

The least absolute deviations are using widely used in engineering because of it s robustness,but the algorithm solving the least absolute deviation is not efficient.

最小一乘在稳健性上比最小二乘好，使得最小一乘在工程中得到广泛的应用，但求解最小一乘的算法并不理想；本文根据最小一乘的性质，把最小一乘问题变为组合优化问题。

First, we introduce and discuss the various methods of multivariate polynomial interpolation in the literature. Based on this study, we state multivariate Lagrange interpolation over again from algebraic geometry viewpoint:Given different interpolation nodes A1,A2 .....,An in the affine n-dimensional space Kn, and accordingly function values fi(i = 1,..., m), the question is how to find a polynomial p K[x1, x2,...,xn] satisfying the interpolation conditions:where X=(x1,X2,....,xn). Similarly with univariate problem, we have provedTheorem If the monomial ordering is given, a minimal ordering polynomial satisfying conditions (1) is uniquely exsisted.Such a polynomial can be computed by the Lagrange-Hermite interpolation algorithm introduced in chapter 2. Another statement for Lagrange interpolation problem is:Given monomials 1 ,2 ,.....,m from low degree to high one with respect to the ordering, some arbitrary values fi(i= 1,..., m), find a polynomial p, such thatIf there uniquely exists such an interpolation polynomial p{X, the interpolation problem is called properly posed.

文中首先对现有的多元多项式插值方法作了一个介绍和评述，在此基础上我们从代数几何观点重新讨论了多元Lagrange插值问题：给定n维仿射空间K~n中两两互异的点A_1，A_2，…，A_m，在结点A_i处给定函数值f_i(i=1，…，m)，构造多项式p∈K[X_1，X_2，…，X_n]，满足Lagrange插值条件：p=f_i，i=1，…，m (1)其中X=(X_1，X_2，…，X_n)，与一元情形相似地，本文证明了定理满足插值条件(1)的多项式存在，并且按"序"最低的多项式是唯一的，上述多项式可利用第二章介绍的Lagrange-Hermite插值算法求出，Lagrange插值另一种描述是：按序从低到高给定单项式ω_1，ω_2，…，ω_m，对任意给定的f_1，f_2，…，f_m，构造多项式p，满足插值条件：p=sum from i=1 to m=Ai=f_i，i=1，…，m (2)如果插值多项式p存在且唯一，则称插值问题适定。

The research on the calibration of angle function is an important subject of this dissertation.

在深入了解把握现有各种高精度测量器具自校正方法实质的基础上，本文在第五章中提出了一种迭代校准算法。

Unbalanced control for Static synchronous compensator based on multiple inverter configuration under asymmetric power system is studied in this paper .

研究了在系统不对称情况下基于多重化结构的静止同步补偿器的分相不对称控制，详细分析了δ-θ分相控制算法及其控制效果，并在此基础上提出了δ控制方法。

Based on this algorithm, the dynamic programming to smooth the detected pitch are used and the testing results are compared with the autocorrelation function under the noise environment.

在NCCFPDA算法的基础上，采用动态规划的方法对检测出的基音周期进行平滑，并在噪声环境下与自相关法检测基音周期的检测结果进行了比较。

Firstly the basic principle of OFDM and its anti-multi-path-fading are briefly introduced in this paper. Then basing on this point, we researched the basic principle, the coding designing and the algorithm of the signal detection of these MIMO-OFDM systems. At the same time, the performances of STBC-OFDM and SFBC-OFDM were analyzed and simulated under short wave circumstance, and got some useful conclusions, they have certain reference value for more research of short wave communication in future.

本文首先介绍了OFDM系统的基本原理以及它对抗多径的基本原理，然后在此基础上，对其所形成的几种MIMO-OFDM系统的基本工作原理，码字设计以及相应的信号检测算法进行了研究，详细分析研究了STBC-OFDM和SFBC-OFDM系统的性能并在短波信道下对其性能进行了仿真和对比分析，得出了有用的结论，这对以后短波通信的深入研究具有参考价值。

Took Chongqing Gong-he tunnel as an engineering example and studied the failure mechanism of surrounding rock and the correlation with bolt support system by using the methods of theoretical analysis, modeling test, numerical simulation and in situ test, some helpful conclusions were arrived as follows.Firstly, a new failure criterion for transversely isotropic rock mass was proposed with consideration of bedding plane orientation and major principal stress, and the corresponding algorithm, arrived through VC++6.0, can be easily embedded into the software FLAC3D for the geotechnical calculation.

论文在国家自然科学基金专项基金创新群体基金项目(No.50621403)以及国家自然科学基金重点项目"隧道与地下空间工程结构物的稳定性与可靠性(No.50334060)"的资助下，以共和隧道为示范工程，运用理论分析、物理模型实验、数值模拟和现场测试等手段，对共和隧道大埋深段层状岩体的围岩变形破坏机理、锚杆支护力学效应及围岩-支护结构的变形特征等内容进行了研究，其主要研究成果有：①在总结和探讨国内外学者提出的层状岩体经验型连续介质破坏准则基础上，结合层状岩体力学特性，考虑层面方向和最大主应力方向两个影响因素，提出了共和隧道层状岩体横观各向同性破坏准则；采用汇编语言VC++6.0实现了横观各向同性弹塑性本构关系的算法，并嵌入FLAC3D有限差分数值分析软件接口中实现数值运算。

This paper focuses on the construction of true bidimensional wavelets by lifting scheme and the relevant image coding. We research the nonseparable bidimensional interpolator designed by different standards, carry out the true bidimensional wavelet decomposition and improve the SPIHT coding in order to adapt to the characteristic of true bidimensional wavelet decomposition. It is proved by experiments that the subjective and objective quality of binary tree SPIHT on true bidimensional wavelet decomposition is better than famous 9/7 wavelet under the condition of low bits compression.

本文以基于提升格式的纯二维小波滤波器组的构造为中心，研究了不同类型的二维不可分离内插滤波器，实现了图像的纯二维小波分解，并改进了SPIHT编码算法，使其适合纯二维小波的分解特点，实验证明在低比特压缩下，纯二维小波分解的二叉树SPIHT在主观和客观质量上要好于著名的9/7小波。

The experiment shows that single-mean algorithm is efficient on the text data set of multiple classes, which also shows that the learning method based on self-training mechanism is efficient in the extraction of binary relation.

实验表明了新算法在文本数据上的有效性，从而说明了self-training机制在二元关系抽取中的有效性。

The main idea about it is that the messages passed on the bipartite graph of LDPC are based on the probability differences, and the renewal of both check nodes and message nodes is carried out on the special addition domain.

提出了一种新的基于差分的译码算法，其主要思想是：在LDPC码的二部图上所传递的消息是概率的差分值，而对于校验节点和消息节点的更新都是在特定的加法域中进行。

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。