矢的

According to dispersion relations, The relations of the incident angle, reflection angle and refraction angle equations with bicrystal parameters and wave vector are obtained respectively. The variation of the reflection angle and refraction angle with the incident angle for certain bicrystal parameters is presented by angle quations.

根据晶体的色散关系解出了入射角、反射角和折射角关于晶体参量及波矢的方程，并根据角度方程给出了在一定参量下反射角和折射角关于入射角变化的关系图，以图示的方法显示了光束在界面处的异常性质。

The basic idea is as follows: first, a kind of plane α-B-spline interpolation curve with a shape control parameter a is constructed; then, by converting the first derivatives of the curve into Bernstein polynomial, the positive conditions of Bernstein polynomial can be used to get the necessary and sufficie nt conditions for the monotonicity of α-B-spline interpolation curves, i.e., the range of the parameter a. Therefore, monotone-preserving interpolating curves can be obtained succinctly.

其基本思想是：首先构造带有形状可调参数的一类平面(-B样条插值曲线，再把其一阶导矢的两个分量分别转化为Bernstein多项式，从而利用Bernstein多项式的正性条件，得到此曲线为单调的充要条件，即形状参数的取值范围，简单、快捷地实现此参数样条曲线的保单调插值。

In chapter 4, an optimization Boolean operator of triangular mesh and the algorithm of adding point-swapping edge locally are put forward. With boundary traced by adding midpoint, the triangulation of 2D arbitrary domain is realized. The fast searching method which combines the index rectangle with compass based normal vector is designed to speed the triangulation algorithm.

第四章提出了一种优化的三角网格布尔运算和逐点加入—局部换边法，用中点加点法恢复边界，实现了二维任意域Delaunay三角化算法，用索引矩形和基于法矢的指南针法相结合的快速查询法有效地提高了三角化算法的速度，给出了二维任意域三角网格剖分的实例。

The vactrix method is further developed, a vectrix Skew-symmetric crossproduct identity is presented and the dyadic form of the derivative of a vector with respect to another vector in terms of vectrix is also offered.

进一步发展了矢阵方法，提出了矢阵叉积算子恒等式及矢量相对于矢量的导数以矢阵表示的并矢形式，并给出了若干应用实例。

Results: Anterior talofibular ligament on axial plane, calcaneo fibular ligament on coronal and oblique axial planes, posterior talofibular ligament on all of four planes, cervical ligament on coronal and sagittal planes, interosseous talocalcaneal ligament on coronal, sagittal and oblique axial planes, lateral bundle of inferior extensor retinaculum on coronal and sagittal planes, medial and intermediate bundle on coronal planes, can be most clearly observed.

结果：距腓前韧带在轴位，跟腓韧带在冠状位和斜轴位，距腓后韧带在四个方位，颈韧带在冠状位和矢状位，距跟骨间韧带在冠状位、矢状位和斜轴位，伸肌下支持带浅束在冠状位和矢状位，中束和深束在冠状位，能清楚观察各韧带的形态和毗邻关系。

Methods:Fifty paired embalmed cadaveric humeri (twenty-five pairs:fourteen from male donors and eleven from female donors) were scanned in medial-lateral and anterior-posterior position according to the humeral retroversion by CT. Images of the humeri in the transverse planes at the lowest border of neck,20mm and 40mm distal of LBN(LBN-20、LBN-40), isthmus, head-neck anterior-posteriorwere obtained. Sixty-one extracortical and intracortical parameters were measured exactly by image analytic computer software that included offset, head position, head-shaft angle, head to tuberosity height, head thickness, curvature radius, articular surface arc, neck diameter, isthmus position, proximal and distal border of isthmus, maximum coronal and sagittal diameter of medullary canal and thickness of cortical bone in four planes, including LBN, LBN-20,LBN-40 and isthmus.

50根成对防腐肱骨(男14对，女11对)按肱骨头扭转角置于冠状位和矢状位，行肱骨全长，头颈矢状面，解剖颈下缘及其下20mm、40mm，髓腔狭窄部四平面CT扫描，由CT软件测量冠、矢状位髓腔内外参数共61项，包括头心—干轴距，头位置，头干角，头—结节高度差，头厚度，头半径，关节面张角，解剖颈直径，髓腔狭窄部位置，解剖颈下缘及其下20mm、40mm和狭窄部四个平面髓腔的最大冠、矢状径，皮质骨厚度等。

Results: Most of ligaments of the occipito-atlanto-axial joints can be identified on sagittal planes, however, the transverse atlantal ligament on axial plane, the alar ligament on oblique coronal and axial plane, can be clearly demonstrated.

结果：寰椎横韧带在横断位和矢状位，翼状韧带在斜冠状位和矢状位，齿突尖韧带在矢状位和斜冠状位能清楚观察各韧带的形态和毗邻关系。

The fibrils of three levels,Which were macrofibrils of several tens micron in diameter,fibrils feW micron and microfibrils about 0.3 micron,were observed simultaneously with banded texture usingpolarized microscope.After annealing,fibrils in different levels relaxed to differentmorphology.Macrofibrils still oriented along shear direction,but fibrils relaxed to helical form,and microfibrils relaxed to waveform therefore the banded texture canbe seen.The smaller the diameter of fibrils was,the more easily the fibrils relaxed.Ori the other hand,the banded texture decoration of annealed unoriented filmsrevealed directly the distribution of directors within and out of domains and thevariation of directors on boundaries.

微纤分三个层次，即直径分别为数十微米的微纤束、数微米的微纤和0.3微米的亚微纤，退火后三个层次的微纤松弛成不同的形态，微纤束仍笔直沿剪切方向取向，微纤松弛成螺旋形，而亚微纤松弛成波浪形从而观察到条带织构：微纤直径越小越易松弛，另一方面，非取向态织构退火后由亚微纤形成的条带装饰结果直观地揭示了微区内外分子指向矢的分布和它们在边界上的变化。

The wing-edge and wing-patch data structure and fast searching method which combines the index rectangle with compass based normal vector are designed to speed the triangulation algorithm. Application in visualization of oil geological data and griding of mechanical part, the algorithm is efficient, steady and broad-spectrum. It can provide Delaunay triangular mesh for scientific computing and engineering analysis.

算法中采用了翼边、翼面型数据结构和自行设计的索引矩形与基于法矢的指南针法相结合的快速查询法，在石油地质勘探数据场可视化和机械零件网格剖分中的应用表明本文三角化算法具有高效、稳定、适用范围广的特点，能够为科学计算和工程分析提供边界一致的Delaunay三角网格。

He thermopower are related to the special lens-shaped Fermi pockets of TiS_2 system.

iS_2体系中特殊的椭球形的费米口袋对输运性质有非常重要的影响，其特征波矢的电声子曵引引起了热电势的低温峰。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。