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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。

Yano about the harmonic and Killing vector fields in Compact orientable Riemannian spaces with boundary by means of Stokes' and Green's theorem.

Yano 关于具有边界的可定向黎曼流形上的调和和Killing向量场的结果加以推广，显然这个方法也可应用到调和张量场和Killing张量场的情形，这将在另文讨论。

Theorem Let M be a orientable or non-orientable closed surface, and f a C°-flow whose every singular point is isolated. Then f has POTP if and only if the following three conditions hold

定理 设M是任一个可定向或不可定向的闭曲面，f是M上任一个奇点均孤点的C〓-流，则f具有伪轨跟踪性质的充分必要条件是

Using combinatorial thoughts and topological methods,a closed curve system that contains the most number of non-contractible,pair-wise disjoint and pair-wise non-homotopic closed curves on the orientable surface is investigated.

利用组合数学的思想、拓扑的方法研究在可定向曲面上，一类含有个数最多的不可收缩的、两两不相交、互不同伦的圈系统及其性质，得出了关于这些圈的一些拓扑定性性质，并给出这些圈在曲面上的位置分布。

Motivated by this problem, in this paper, we give an upper-embeddable property of one kind of digraphs in orientable surfaces.

受此问题的启发，本文给出了一类有向图在可定向曲面上是上可嵌入的性质。

In addition,genus distributions of orientable embeddings for given graphs arc provided.

基于此，本文主要是在刘彦佩提出的联树模型的基础上，选择考虑了有趣且有意义的图类来研究其最小亏格问题。

Firstly, work report and plan will make theoretical guidance for the following work on some degree indeed, avoid the blindness,and make our work more orientable.

第一，不可否认的是，工作总结和工作计划的确在某种程度上可以为下一步的工作提供理论性的指导，避免了工作的盲目性，使工作目的更加明确。

Through the theory analyses of PMSM timing and the research of field orientable control, this paper theoretically prove another great achievement of field orientable control in the fields of AC motor timing.

本文通过对永磁同步电动机调速的理论分析，以及磁场定向控制的研究，从理论上证明了磁场定向控制在交流电机调速领域上的又一次重大发展。

In chapter2, we associate a Poisson matrix to each global frame on an orientable 3manifold.

在这篇论文中，我们在3-流形上建立了一种新的研究方法-Poisson矩阵分析法。

In chapter three, we study the lower orientable strong radius and strong diameterof the Cartesian product of graphs and prove that: srad(G_1×G_2)= 2r(G_1×G_2),sdiam(G_1×G_2)≤min{sdiam(G_1)+sdiam(G_2), 2(G_1×G_2), 4r(G_1×G_2)}. Furthermore,we establish three sufficient conditions for sdiam(G_1×G_2)= 2d(G_1×G_2)holds and determine the values of the lower orientable strong diameters of somespecial graphs. Moreover, we give the exact value of SDIAM, a lowerbound for SDIAM, an upper and lower bound for SRAD andSRAD, respectively.

在第三章，研究了笛卡尔乘积图G_1×G_2的最小强半径，证明了如下结果：srad(G_1×G_2)=2r(G_1×G_2)，sdiam(G_1×G_2)≤min{sdiam(G_1)+sdiam(G_2)，2d(G_1×G_2)，4r(G_1×G_2)；给出sdiam(G_1×G_2)=2d(G_1×G_2)成立的三个充分条件，并由所给出的充分条件确定了一些特殊笛卡尔乘积图的最小强直径的值；确定了SDIAM的确切值，SDIAM的下界，SRAD和SRAD的上、下界。

But in the course of internationalization, they meet with misunderstanding and puzzlement.

许多企业已经意识到了这一点，但在国际化的进程中，仍存在一些误区与困惑。

Inorder toaccomplish this goal as quickly as possible, we'll beteamingup with anexperienced group of modelers, skinners, and animatorswhosenames willbe announced in the coming weeks.

为了尽快实现这个目标，我们在未来数周内将公布与一些有经验的模型、皮肤、动画制作小组合作。