稀疏的

The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

理论成果主要包括：(1)对于对偶树二进制系数复数小波，利用Hilbert变换对性质、完全重构条件并结合新的提升格式构造研究了含参系数多进制小波构造方法，作为特例得到具有线性相位的对偶树二进制系数复数小波构造方法；(2)对于广义离散傅立叶变换与正弦变换对角化系统，提出了高效、快速的多重网格算法，理论上证明了算法的收敛性；(3)研究了Toeplitz矩阵在多进制小波变换下的代数结构，验证了多项式生成函数构成的Toeplitz系统在小波变换下的稀疏带宽性质，从而建立基于小波变换求解Toeplitz系统的快速求解方法，运算量级控制在O，其中N为系统的阶。

Firstly, Wavelet-Galerkin algorithm for solving the first kind of singular integral equation with the Hilbert kernel is proposed, we use the characteristic of periodic wavelet on L~2([0,1]) and Hilbert kernel to solve and make stiff matrix lower dimensions and become sparser through thresholding,thus the cost of computation is reduced. Because of the singularity of Hilbert kernel we use Tikhonov regularization method to solve the system of stiff equation. At last the convergence and numerical result of approximate solution are given. Secondly, an approach of regularization based on Fourier is presented for sideways heat equation; we give the theory proof and error estimate.

首先，提出了含Hilbert核的第一类奇异积分方程的小波伽辽金(Wavelet-Galerkin)数值算法，该算法中利用了L~2([0，1])上的周期小波和Hilbert核的特点进行处理，使得刚性矩阵维数降低并且通过阈值使得它更加稀疏，减少了计算量；由于Hilbert核的奇异性，通过Tikhonov正则化方法求解所得到的刚性方程组，给出了收敛性和数值结果；其次，对标准的一维逆热传导方程给出了一种基于Fourier正则化方法，给出了理论证明及其误差估计，解决了文献中算法与理论误差估计的不相匹配的现象，该正则化方法不仅保留了测量数据的部分高频成份，且与文献中的算法具有同样的计算量和误差估计。

The principles are as follows:①preliminary interpretation is carried out on crosswell seismic data in depth domain to establish an accurate velocity model;②sinc interpolating function is used in depth-time conversion to realize waveform fidelity;③the recognition of surface seismic data is utilized to ascertain the reflection characteristics of crosswell seismic data in time domain;④ good spatial continuity of surface seismic data is adopted to retrieve the "hopper" defect in crosswell seismic profiles and the deficiency of lateral contrast between crosswell seismic data;⑤in fine calibration of well-side traces of crosswells and surface seismic data, coincident time-depth relation is used to match two seismic data so as to make the calibration more reasonable;⑥in multi-crosswell seismic data inversion by sparse spike inversion method, lateral restraints are strengthened to ensure the continuity of inversed wave impedance profile.

实现反演的基本原理是：对深度域井间地震资料进行初步解释；建立精确的速度模型；在对井间地震剖面进行深时转换时采用sinc插值函数实现波形保真；利用对地面地震资料的认识来落实时间域井间地震资料的反射特征；利用地面地震资料良好的空间连续性弥补井间地震剖面的"漏斗"缺陷和井间资料之间横向对比性的不足；在井间地震和地面地震井旁道精细标定中，通过一致的时深关系来实现两种地震资料之间的匹配，使井旁道的标定更加合理；在利用稀疏脉冲反演方法进行连井井间地震资料反演时，通过增强横向约束保证反演波阻抗剖面的连续性。

To improve performance of Chinese processing applications, we must change this situation, thoroughly think of the linguistics foundation of Chinese processing, and work over linear-grammar that suits to process word neighbor-ship in Chinese by computers. We have gotten many original research results as follows: We introduced the concept of simple-phrase and the method to identify them; We also introduced a smoothing method, which greatly relaxes the sparseness problem in statistic method, based on the similarity of words according to linear dependence of them, and introduced a person-name recognition method based on reliability and a method to recognize new word based on multi-features.

本课题为了提高汉语处理应用软件的性能，打破这一传统，彻底反思汉语处理的语言学基础，研究适合于汉语的、适合于计算机处理的、适合于词语线形关系的文法，创新性地提出了线形文法的思路，并有多方面的原创性成果，包括：提出了简单短语概念并拟订了界定规范并设计了相应的识别方法；提出了基于线性邻接分布特征的词语相似性计算方法，有效的缓解了统计的数据稀疏问题；提出了基于可信度的人名识别方法和多特征集成的新词语识别方法。

Spikelets with 1 floret (very rarely 2), rachilla disarticulating above glumes, with penicillate extension lying against the palea; glumes subequal, usually slightly longer than the floret, rarely slightly shorter, membranous, 1–3-veined, apex acute or acuminate; floret callus bearded, hairs usually 1/3 as long up to about equaling floret; lemma thinly to firmly membranous,(3–)5-veined, dorsally awned or awnless, apex erose, denticulate or 2–4-toothed; awn geniculate or straight, its position varying from near base to near apex, usually inconspicuous, up to twice length of lemma but occasionally reduced to a subapical mucro or absent; palea 2/3 as long to subequaling lemma.

小穗具1小花(极少2)，高于颖片，具具毛撮的扩展对内稃躺脱节的小穗轴；通常，近等长的颖片稍长于那些小花，很少稍短，膜质，脉，先端锐尖或渐尖；作为长的可达的通常的公然反对的小花结茧，头发1/3大约等于小花；稀疏外稃到坚定膜，(3-)5－脉，背具芒或者啮蚀状的顶，或者2-4齿状的具小齿，awnless；芒膝曲或者直，作为近相等外稃的长时期的内稃2/3。

In order to seamlessly combine NSGA-Ⅱ and the greatly different MOPSO, the special concepts (particle and its velocity, Pbest and leader) for MOPSO were dealt with within the scope of NSGA-Ⅱ: 1 particle in MOPSO was considered to be equivalent to offspring individual in NSGA-Ⅱ; 2 the concept of velocity fell into disuse; 3 the concept of Pbest also came into disuse. Instead of that, for each dimension of a particle, the nearest one among its nondominated individuals in parent population was used; 4 the leader of a particle was the individual with largest sparse degree among parent population or selected from parent population by binary tournament selection method, which of them taking effect lies on the predefined probability. In addition, a new concept, i.

为使这两种差异较大的算法实现无缝融合，在NSGA-Ⅱ算法范围内对MOPSO中特有的概念粒子及其速度、Pbest、引导者进行处理：1粒子对应于NSCA-Ⅱ中子代群体的个体；2不再使用粒子速度概念；3不再使用粒子Pbest概念，代之以从父代群体中为每个粒子的每一维寻找一个最近的该粒子非支配个体；4每一个粒子的引导者可以是父代群体中稀疏程度最大的个体或者是按照二进制随机竞赛选择方法从父代群体中选择的一个个体，具体哪一种方式发挥作用依赖于预先设定的概率。

The superficial microvascular networks were sparser, while the subpleural microvascular networks were denser. The superficial blood vessels and the interlobular blood vessels were mutual transitional, and the anastomosing between the superficial blood vessels with the subpleural vessels. According to the branching sequence of the subpleural arteriole, it could be divided into the arteriole, terminal arteriole, precapillary arteriole and capillary in turn. The subpleural capillary networks were mainly web-like, while small holes were also found on the cast. The honeycomb vascular networks were various in size and form at a low magnification. The outline of alveolus, alveolar sac, alveolar duct and respiratory bronchiole and terminal bronchiole, made of microvascular networks, could be found in the cut surface.

胸膜面浅层的微血管网稀疏，深层的胸膜下微血管网致密；胸膜面浅层的微血管与小叶间隔的微血管之间相互移行，与胸膜下微血管之间形成吻合连接；根据胸膜下微动脉连续分支的顺序，常可将其分为微动脉、终末微动脉、毛细血管前微动脉和毛细血管四级；胸膜下毛细血管网主要以网络状的形式存在，但在铸型上均可见数量不等的"小孔状"结构；低倍镜下肺实质内微血管网呈现大小不等、形态各异的蜂窝状结构，可以见到由微血管网构成了肺泡、肺泡囊、肺泡管和呼吸性细支气管以及终末细支气管等结构的轮廓。

The method includes the following steps: firstly, a spherical neighborhood of present sample points is established by using the geometric spherical-modelling theory and all the sample points contained in the spherical neighborhood are adopted as candidate neighbor points, thus not only preserving the effectivity of the dimension reduction capability when data sets are sparse but also getting the advantages of low-sensitivity to isolated points and good stability of the preserved topological structure; then a data relevance matrix more matching semantics can be obtained by relevance measurement based on route clusters to update the candidate neighbor points in the spherical neighborhood and optimize the regular neighborhood space of the present sample points, thus improving the phenomenon that the dimension reduction of sample sets provided with folded curved faces is apt to suffer the integrated-structure distortion in case of heterogeneous data distribution.

首先利用几何开球原理建立当前样本点的球状邻域，将包含在球状邻域内的所有样本点作为候选近邻点，不但能够保持在数据集稀疏情况下的降维性能的有效性，而且具有对孤立点敏感性不高、保留拓扑结构稳定性好的优点。然后利用基于路径聚类的相关性度量得到更符合语义的数据相关性矩阵，用来对球状邻域内的候选近邻点进行更新，优化当前样本点的规则邻域空间，改善了当数据不均匀分布时在带有折叠弯曲面的样本集上降维容易出现整体结构扭曲的现象。

By means of the quantitative theory I,the relationships between environmental theory 1,the relationships between environmentalfactors and the density chang during self-thining of Cunninghamia lanceolata plantation were set up,and themain environmental factors affectes on self-thinning significantly,which are altitude,situation of slope andmean diameter at breast height,were gained.

提出森林自疏过程中密度随时间变化的调节模型、提出并阐述应用于森林自疏规律研究的基于改进单纯形法的网络模型的基本原理和算法，两方法经山杨林、云南松林的自疏过程密度随时间变化资料进行验证，证明两方法更合理且适用性更强，进而将其应用于杉木林自然稀疏规律模拟，模拟残差平方和仅为前人模型的92.8％和56.1％，效果较理想。

Based on the Least Squares Support Vector Machines method, Incremental LS-SVM and Online LS-SVM method is proposed for identification of structural systems in this paper. It efficiently updates a trained LS-SVM by means of incremental and decremental pruning algorithms whenever a sample is added to, or removed from, the training set. The method overcomes the drawback of sparsenesslost within the standard LS-SVM and makes online training for the LS-SVM possible.

本文在最小二乘支持向量机方法的基础上提出了用于识别结构系统的增量最小二乘支持向量机和序贯最小二乘支持向量机方法，当新样本加入进来或老的样本被修剪下去的时候可以有效地更新，这种方法克服了标准最小二乘支持向量机方法的稀疏性缺失，使得结构参数的在线识别成为可能。

In this paper, the requirement analysis, design and implementation of the system are introduced in detail.

此论文详细介绍了系统的需求分析，系统设计和具体实现。

In the context of economic globalization is increasingly deepening, China's economy can not be spared.

在经济全球化日益加深的背景下，中国经济不可能做到独善其身。