查询词典 triangulates

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。

There is political as well as economic strategy behind their approach, which triangulates between cutting spending too early and cutting it too little.

这些措施包括政治和经济上的对策，尽力在过早削减开支和削减开支的力量太小之间找到平衡的方法。

Triangulates weight at the corners of the putter for an extremely high moment of inertia.

把重量分成三份，并分布在打推杆的不同角落，成功取得极高的惯性力矩。

STAINLESS STEEL BACKWEIGHT triangulates weight at the corners of the putter for an extremely high moment of inertia.

杆头后端的不锈钢配重把重量分成三份，并分布在打推杆的不同角落，成功取得极高的惯性力矩。

The older phone triangulates a user's position via cell-phone towers. The new one has a GPS receiver that can track a user in real time.

以前的手机通过手机信号发射塔确定用户的位置，新款手机有一个GPS接收器能够随时追踪使用者。

At first, the algorithm triangulates the boundary of the data, then encrypts the grid and builds equality triangle network, at last embeds the faults into the grid to complete triangulation.

该算法首先对数据边界进行初始Delaunay三角剖分，然后将其变尺度加密，生成较均匀三角网，最后将断层边界强行嵌入三角网，实现了三角网格化。

The algorithm makes the discrete points sort in scan manner, and secondly it constructs convex hull and triangulates the sorted points by the optimal convex hull technology which is proved by the author, and optimizes triangles utilizing topological structures of directed edges.

该算法对离散点进行扫描线方式排序，利用最优凸壳技术进行凸壳的生成和三角网联结，最后利用有向边的拓扑结构进行三角网优化。

In the days of sailing vessels the crew were afraid they would be becalmed on the ocean.

在使用帆船的时代，船员们担心他们会因为无风而无法在海洋上航行。

As long as foreign donors pay the PA's salary bill, few expect a new intifada.

只要外国继续为巴权力机构的薪水买单，希望发动新暴动的人便寥寥无几。