查询词典 triangular numbers

Adopting the model of uniform load and triangular load separately,MRFs of different story numbers and bay numbers are analyzed by static Pushover analytical method,and the global capacity envelopes are obtained.Then,through a method for establishing the inelastic demand spectrum of design intensity and rare intensity based on elastic spectrum of seismic design code for buildings,the structural target displacement of design intensity and rare intensity are estimated by improved capacity spectrum method.The corresponding structural ductility reduction factor,the overstrength factor,the structural influencing coefficient and displacement amplification factor are determined.

分别采用水平均匀分布力和倒三角分布力加载模式对不同层数和跨数的钢框架结构进行了静力推覆分析，并得到了结构的能力曲线，在此基础上，应用改进的能力谱法，以规范反应谱为基础建立设防烈度和罕遇烈度下的弹塑性需求谱，确定出结构在设防烈度和罕遇烈度下的目标位移，进而求解出结构的延性折减系数、超强系数、结构影响系数和位移放大系数等参数；同时，分析了不同加载模式、层数和跨数等对各系数的影响。

In this paper, firstly, the embeddability of near-triangular graphs on the orientable surface is studied. By using Petersen's Theorem about 1-factor, we first prove that for a near-triangulation on the orientable surface, its geometry dual graph has a 1-factor; then after a procedure of operation leaded by the 1-factor, we show that if a graph G triangulates some orientable surface S_g, then G has a near-triangular embedding in S_h for h = g,g + 1,...,β(G/2」, where β is the Betti number of G. Hence we obtain a conclusion: A near-triangulation of the orientable surface is upper-embeddable. As a generalization, a class of near-quadrangulation is studied, and similar results are obtained.

本文首先研究了近三角剖分图的可定向曲面嵌入性质，通过运用Petersen关于1-因子的定理，首先证明了对于可定向曲面上的三角剖分图，其几何对偶图具有1-因子；然后在1-因子的导向下，通过做一系列增加亏格的手术，证明了如果一个图G三角剖分可定向曲面S_g，那么G可以近三角剖分可定向曲面S_h，这里h=g，g+1，…，「β(G／2」，β是指图G的Betti数，从而得出推论：可定向曲面上的三角剖分图是上可嵌入的，作为推广，又研究了一类近四角剖分图的可定向曲面嵌入性质，并得到类似的结论。

The first is how to determine boundary curve of surface in triangular domain and after deducing, simultaneous equations is proposed in the dissertation. The second is how to determine the coupling parameter. The third is present simultaneous equations in order to obtain G1 continuous considering the continuity between two triangular patches and the fitness rules.

具体的工作体现在三个方面：一是对拟合条件下的三角域曲面边界线的确定，本文经过推演给出了求解方程组；二是对耦合参数的确定；三是在考虑相邻两片三角域曲面连续性的同时将拟合的规则纳入，给出了求解方程组以达到G 1连续。

Let R be an arbitrary commutative ring with identity, gl the general linear lie algebra over R consisting of all n × n matricesover R and with the bracket operation = xy -yx, t the lie subalgebraof gl consisting of all n×n upper triangular (resp., strictly upper triangular ) matrices over R and d the lie subalgebra of gl consisting of all n×n diagonal matrices over R.

在第三章中，对R是交换环的情形，讨论了典型李代数的导子代数的结构问题：设R是一个含幺交换环，gl是R上一般线性李代数。t是gl的所有n阶上三角矩阵(相应地，严格上三角矩阵)构成的子代数，d是gl的所有n阶对角阵构成的李代数。

In this paper, firstly the elimination tree theory is introduced in brief, and the structure of Jacobian matrix is determined by use of symbolic factorization; then by use of sparse vector method each column of lower triangular matrix L and each row of upper triangular matrix U are solved.

介绍了消去树理论，并采用符号因子分解技术确定雅可比矩阵的结构，然后采用稀疏向量法求取L阵的每行和U阵的每列。

Margin of leaf blade crenate; petals triangular or triangular-ovate, apex obtuse, rarely acute.

叶片的边缘具圆齿；花瓣三角形的或三角状卵形，先端钝，很少锐尖。

Cupule bracts triangular, narrowly triangular, or ovate-lanceolate, adherent to outside wall of cupule.

Cupule苞片三角形，狭三角形，披针形或卵形，对在壳斗的墙外边粘性。

The method involves an iterative procedure, which incrementally flattens a 3D triangular mesh by region growing and obtains a parameterization with free boundary. The result is then converted to a parameterization with regular boundary by conformal mapping. Our method accounts for both the angle and area distortion during parameterization, it yields a parameterization with less global distortion and no triangular flipping.

采用区域增长算法逐层展平空间三角网格，得到空间三角网格曲面的自由边界的参数化结果，并利用保形变换将自由边界的参数化结果变换为规则边界的参数化结果；同时兼顾了参数化的角度变形和面积变形，使得参数化结果具有整体变形较小的特点，并能够避免三角形折叠的现象。

This paper proves the advantages of triangular decomposition through compare triangular decomposition to Gaussian elimination .

通过把三角化分解法与高斯消元法进行比较，说明三角化分解法的优点。

Now the triangular mesh model simplification algorithm based on edge collapse is very complex.Combining Garland's quadric error metrics algorithm and Hoppe's progressive mesh algorithm,a new algorithm for triangular mesh dynamic model simplification based on cost function is proposed in this paper.

目前基于边折叠的三角网格模型简化算法边折叠计算复杂，没有有效进行动态简化，结合Garland的二次误差度量算法和Hoppe的累进网格算法，提出了基于代价函数的三角网格模型动态简化算法。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。