两分

Deducing the associated Euler-Lagrange equations of the two models, it is analyzed the diffusion performance of the p-harmonic equations and proved the two models have unique solutions in the space of Sobolev.

利用变分原理，推导出两种变分模型所对应的Euler-Lagrange方程；利用图像的局部正交坐标系，分析其扩散能力。

In addition, we give the algorithms for generating the triangular decomposition or star-shaped decomposition for shapes.

另外，作者还给出了物体形状的三角骨架剖分和星形骨架剖分的两个算法。

The ratios of the dry weight of stolon and ramet/the dry weight of genet in plot 1 and 5 are the highest, Dry weight of L.

结果表明，除人为干扰比较严重的生境外，基株大小与匍匐茎数量、单位长度匍匐茎干重之间存在极显著的正线形相关（P〈0.01），基株大小对分株的影响可能与匍匐茎数量有关；匍匐茎与分株总干重与基株干重的比值在海拔最高和最低两个样地中最大。

In this paper, the maximum likelihood algorithm with process and measurement noise for nonlinear continuous-discrete system given by Jategaonkar and Plaetschke is improved in two aspects: 1 to avoid the disadvantages of sensitivities computation by common finite-difference method, in which the perturbation sizes should be selected optionally, an improved finite-difference method with best perturbations, is presented. 2 to improve the numerical stability of Jategaonkar's algorithm, maximum likelihood algorithm with fast triangular square-root decomposition filter is given.

摘要对Jategaonkar等人给出的同时计及过程及观测噪声的非线性连续-离散系统的极大似然算法从两个方面进行了改进：1给出了计算灵敏度的最佳摄动有限差分算法，避免了普通有限差分法计算灵敏度矩阵时需人为选择参数摄动量大小而带来的缺点；2给出了具有快速三角化平方根滤波的极大似然算法，提高了原算法的数值稳定性。

ABSTRACT This paper summarizes our researches on two key techniques in curve and surface modeling-the geometric approximation techniques and the geometric interpolation techniques. The former includes three types of geometric approximation techniques: Hybrid polynomial approximation to rational curves and surfaces, offset curves and surfaces approximation, interval Bézier curves and surfaces approximation. The latter includes a series of algorithms for shape blending modeling: the MSI algorithm for shape blending between space polylines or trees, the MSI algorithm for shape blending between triangular meshes, and skeleton-based shape blending algorithms using triangular decomposition and star-shape decomposition.

本文是作者对曲线曲面造型中两类核心技术几何逼近技术和几何插值技术的研究成果的总结，其中前者包括有理曲线曲面的Hybrid多项式逼近、等距曲线曲面逼近和区间曲线曲面逼近等三类几何逼近方法；后者包括用于形状混合造型的几何插值方法的一系列算法：空间多边形形状混合的MSI插值算法、三角网格形状混合的MSI插值算法、树的形状混合的MSI插值算法以及基于骨架树形状混合的三角剖分算法和星形剖分算法。

In fifth chapter, we analyse the splitting angle of Rochon prism and Wollaston prism.

第五章分析了洛匈棱镜和渥拉斯顿棱镜两种典型的偏关分束棱镜的分束角。

According to the life form of species and their roles in communities, 6 species groups are used to do ordination analysis and environmental interpretation. The result suggests that:①Despite the strong man-made disturbance at lower altitude sites, the number and character of evergreen species show an change along the altitude gradient.②The rare and endangered species concentrated at two sectors along altitude gradient, corresponding to the upper and lower borders of the mountain mixed forest belt of evergreen and deciduous broad-leaved species.③The pioneer tree species concentrated on the middle and upper positions at lower elevation.④The deciduous accompany tree species show a great diversity on middle and lower position at middle and higher elevation.⑤Coniferous species differentiate along elevation and local topographical gradient.⑥Deciduous species in Quercus, Castanea, Fagus, Carpinus genus as well as coniferous species play primary community-constructing roles at different topographical position at Dalaoling region.

根据物种生活型及其在植物群落中的地位，分6个种组进行排序和环境解释，表明：①尽管低海拔地段受到强烈人为干扰，常绿种类仍显示了数量和性质沿海拔梯度的变化；②珍稀物种在海拔梯度上形成两个相对集中的区段，大致对应于山地常绿落叶阔叶混交林带的上下边缘；③先锋树种在中低海拔的中上坡位富集；④在中、高海拔的中低坡位，落叶的乔木伴生种显示了极大的多样性；⑤为数不多的针叶树种在海拔和局部地形梯度上也有明确分异；⑥它们和落叶的栎、栗、水青冈、鹅耳枥属物种在大老岭地区不同地形部位的植被中起着主要的建群作用。

This condition is weaker than the conditon for complete topological conjugacy of two families of systems, so it is significant and useful for deducing from relatively simple systems or systems with known bifurcation points to the systems with unknown bifurcation points.

这一条件比两族系统完全拓扑共轭弱，因此是有理论意义的，可以使我们从相对较简单的或已知分支点状况的系统来推知未知系统的分支点。

Dichotic listening test ; cerebral functional dominance ; ultradian 3 hour cycle of DL performance ; sex differences

两耳分听测验；大脑机能优势； 3h分听超日节律；性别差异

In particular, DVD recordable, since it is made of two pieces of the binders will be United, Business card printing stress disnature deformation occurs, to the detriment of CD quality.

出格是DVD类光盘，由于它是用黏分剂不兵两片黏分而不败，制卡不张力功不小不离会爆发错位变形，而感化光盘质度。

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。