查询词典 triangular numbers

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。

Because the error of normal vector will affect Delaunay triangular technique and the form of global triangular meshes directly, it is a key step to ensure normal vector .

由于法矢的错误将直接影响Delaunay三角剖分的结果进而影响整体三角网格的形成，所以法矢的确定是生成局部逼近平面的关键步骤。

When it approaches the triangular limit ,the non-diagonal reflection matrix of triangular statistical model is obtained.

本文得到了ZnBelavin模型反射矩阵的矩阵元表达式，在退化到三角极限后，得到了非对角的三角统计模型的反射矩阵。

Based on the conventional ranking method of triangular fuzzy number complementary judge matrix and integrated with the conception of the mean value of triangular fuzzy number, an improved ranking method is proposed.

在传统的三角模糊数互补判断矩阵排序方法的基础上，结合三角模糊数均值的概念，提出了一种改进的排序方法。

The concept of triangular ratio and triangle formula;(2) Reorganization and deep understanding of the concept of complex number which are promoted by the learning of triangular representation of complex number;(3) Teacher's beliefs and college entrance examination.

本文中的调查显示，复数的三角形式是学生认知的难点，我从以下四点分析了对学生学习三角形式的影响：（1）三角比、三角公式对复数三角形式认知的影响；（2）复数三角形式的学习是学生对复数认知的重组和深化；（3）老师的信念和高考对学生学习复数三角形式的影响；（4）教材体系的编排对学生学习复数三角形式的影响。

This dissertation applies 3-D finite element theory to development of the shape functions and stiffness matrixes of the triangular prism isoparameter elements (6 to 15 nodes). A calculating method for Gaussian integral in triangular prism is presented.

本文应用三维有限元理论，构造了一类五面体6～15节点单元的形函数，提出了在五面体单元内的Gauss积分处理方法，建立了相应的单元刚度矩阵，将其与六面体8～21节点单元结合，可用于计算焊接钢结构的应力场。

Date models basing on triangular prism were adopted in programs. Incising of triangular prism was investigated. 5. The geotechnical section in Xiamen seabed tunnel was simulated using compiled three-dimensional visualization programs.

采用Visual C++的面向对象语言编程方法设计了一个关于地下结构虚拟开挖的计算分析软件，软件采用基于三棱柱的数据模型，探讨了三棱柱切割的方式。

In order to obtain symmetry and parallel polarized light, the double Wollaston prism is amended. After getting symmetric polarized light at a big splitting beam angle, an ordinary triangular prism is added so that the symmetric light beam can be divided into parallel light beams. The distance between the triangular prism and the double Wllaston prism is changed so that the distance of the shearing parallel light can be changed.

为了获得对称且平行分束的偏振光，对双wollaston棱镜进行了修正，在获得大分束角的对称偏振光后，配合普通玻璃三棱镜，使对称分束光变成平行分束光，通过改变三棱镜与双wollaston棱镜间的距离来改变平行光的剪切距离。

The calculated results show: the ground state structures of PtNi5, Pt2Ni4 and Pt3Ni3 clusters are quadrangular bi-pyramid, and Pt4Ni2 and Pt5Ni clusters are triangular bi-pyramid with hat and triangular pyramid with quadrilateral, respectively. From the point of view of thermodynamics, PtnNim clusters are stable because of the negative enthalpy of formation; the positive NICS of PtNi5 clusters show anti-aromaticity, The negative NICS of Pt2Ni4 and Pt5Ni clusters show aromaticity. The number of the IR absorption peak of Pt3Ni3 is the most. The IR and raman absorption peak of PtNi5 , IR of Pt2Ni4, Raman of Pt3Ni3 and Pt4Ni2 have only one. The absorption peak of Pt5Ni appears in the bigger frequencies only, and is zero almost in the small frequencies.

研究结果表明：PtNi5、、Pt2Ni4、Pt3Ni3团簇的基态结构都为四角双锥结构，Pt4Ni2 和Pt5Ni团簇的基态结构分别是戴帽三角双锥和三角锥戴四边形结构；PtnNim团簇的生成焓都为负值，表明团簇在热力学上是稳定的；由NICS值可得，PtNi5团簇具有反芳香性，Pt2Ni4和Pt5Ni团簇具有芳香性；从光谱分析来看，Pt3Ni3团簇的IR较强吸收峰的个数最多，PtNi5团簇的IR和Raman、Pt2Ni4团簇的IR、Pt3Ni3和Pt4Ni2团簇的Raman只有一个强吸收峰值，Pt5Ni团簇的峰值只出现在频率较大的位置，频率小的位置几乎为零。

ABSTRACT Based on the discussion of the characteristics of triangular Bezier patches, the theory and method of triangular Bezier surface m...

本文在分析Bezier三角曲面性质的基础上，系统地研究了离散数据的Be-zier三角曲面造型的理论、方法和应用。

Don not attempt to do something which you can not to do.

不要企图做那些办不到的事情。

The expression of CTGF and TNF-αweredetected by immunochemistry and the number of Clara Cells was calculated.

光镜下观察肺组织的病理变化，采用免疫组化染色观察肺组织中结缔组织生长因子和肿瘤坏死因子-α的表达和Clara细胞的数量。