In this paper we show that if a graph G is a triangulation of an orientable surface S_h, then G has a near-triangular embedding into S_k for k = h, h + 1.
在本文中我们证明了如下结果：如果一个图G在某个可定向曲面S_h上有三角剖分嵌入,那么G在S_k上有一个近三角剖分嵌入,这里k=h,h+1,…,[β(G)/2],而β(G)是图G的Betti数。
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(闭曲线)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。
In this paper, firstly, the embeddability of near-triangular graphs on the orientable surface is studied.
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(G)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。
non-orientable topological manifold
不可定向的拓扑流形
The form template is attempting to redirect itself to a different and potentially unsafe location.
表单模板试图重定向到可能不安全的其他位置。
If a party refuses to accept the settlement decision, he may bring a suit to a People's Court.
当事人对处理决定不服的，可以向人民法院起诉。
Bounds of the Local Bases for Some Primitive Non-Powerful Signed Digraphs
某类本原不可幂定号有向图局部基的界
If a party refuses to accept the decision on the settlement, it may bring a suit before a people's court. The party may also directly bring a suit before the people's court.
当事人对处理决定不服的，可以向人民法院起诉。当事人也可以直接向人民法院起诉。
it is a great, demanding claim on him, something that chooses him and calls him to vast distances.
这是一个艰巨的、不可妥协的目标，用坚定的信念，向远方召唤。
"When you take an oath to the Lord, do not be slow to give effect to it: for without doubt the Lord your God will make you responsible, and will put it to your account as sin."
你向耶和华你的神许愿，偿还不可迟延。因为耶和华你的神必定向你追讨，你不偿还就有罪。
Human effort can within limits re-determine the direction of events even though it cannot determine the conditions which make human effort possible.
人的努力虽然不能决定使自身成为可能的条件，但是可以在有限范围内重新规定事件的方向。
Telling white toward the person of Taurus must be tactfully, otherwise but will the cow be frightenned something to run!
向金牛座的人告白一定要婉转，不然牛可是会被吓跑的！
For one thing, he could no longer make love to her, their affection had grown too old.
有一点是肯定的，那就是他不可能主动向她表示爱情了。
Use the Frames Wizard to specify an alternate page for browsers without frames.
可使用框架向导来为不支持框架的浏览器指定替代网页。
The wizard could not create the project archive because the specified saving location is not available.
因为指定的保存位置不可用，所以该向导无法创建项目档案。
"If they do not accept the decisions made after such reconsideration, they can Bring the matter before the local people's courts."
如果不服复议后的决定,可以向当地人民法院提起诉讼。
Now it may have been a slight misjudgement with regard to me hearing wrongly but I consider it quite apt.
现在对于我听到的可能有点不公，但是他相信肯定会有倾向性。
Any party concerned that does not accept the penalties may file a suit with a people's court within 15 days of receipt of the written decision concerning the penalties.
当事人不服的，可以在收到决定书之日起十五日内，向人民法院起诉；
The rotational direction of the true flat can be determined dir-ectly without the need of tryout and the optimum point in the directionbe got by means of formulas.
该算法不需要试探就能直接确定理想平面的旋转方向,该方向上的最优点可由公式求得。
The file you selected doesn't have the correct format and can't be used as a Table Wizard data file, or it can't be found.
您选定的文件格式不对，不能作为“表向导”数据文件，也可能是找不到该文件。
Lawyer: If you disagree on the punishment decisions, you may apply for the reexamination, Or you can bring a suit against the tax authority directly.
律师：对于处罚决定不服的，可以在接到通知书的15日内申请复议，也可直接向法院起诉。