- 更多网络例句与曲面的定向相关的网络例句 [注：此内容来源于网络，仅供参考]
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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。
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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
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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。
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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。
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Secondly, we investigate C°-flows on orientable closed surfaces having POTP, and obtain a necessary and sufficient condition of such flows.
剖析了这些轨道的邻域的轨线结构，还考虑了经过Poisson稳定点及几乎周期点的横截圈和相应的回归映射，其中本文讨论了可定向闭曲面上具有伪轨跟踪性质的C〓-流，得到了可定向闭曲面上C〓-流具有伪轨跟踪性质的较为简洁的充分必要条件；最后本文借助于从可定向的闭曲面到不可定向闭曲面的复叠投射，讨论了不可定向闭曲面上的C〓-流与其提升的轨线之间的联系，解决了不可定向闭曲面上C〓-流具有伪轨跟踪性质的判定问题。
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We establish several unique embedding results for 3-connected graphs on orientable surfaces which admit relatively large facial walks and representativity and hence generalize Thomassen's uniqueness theorem on LEW-embeddings.
本文给出了几个关于一般可定向曲面上嵌入图的唯一性定理。结果表明：一些具有大的面迹的可定向嵌入仍然具有唯一性。这在本质上推广了C.Thomassen在LEW-嵌入方面的工作。
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Oriented boundary of surface.
曲面的定向边界。
- 更多网络解释与曲面的定向相关的网络解释 [注：此内容来源于网络，仅供参考]
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closed orientable surface：闭的双侧曲面;可定向闭曲面
闭算子 closed operator | 闭的双侧曲面;可定向闭曲面 closed orientable surface | 闭正交系 closed orthogonal system
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constant：恒定
单击"跟随曲面"(Follow surface) 以指定每个阵列成员跟随曲面进行定向,或单击"恒定"(Constant) 以指定所有阵列成员将具有与阵列导引的方向相似的恒定方向.
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surface integral of a vector field：向量场的曲面积分(第二型)
surface integral of a scalar field 数量场的曲面积分(第一型) | surface integral of a vector field 向量场的曲面积分(第二型) | orientable surface 可定向曲面
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nonorientable contour：不可定向周线
nonnumeric algorithm 非数值的算法 | nonorientable contour 不可定向周线 | nonorientable surface 不可定向的曲面
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nonorientable surface：不可定向的曲面
nonorientable contour 不可定向周线 | nonorientable surface 不可定向的曲面 | nonorthogonal factor 非正交因子
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orientable surface：可定向曲面
orientable 可定向的 | orientable surface 可定向曲面 | orientation 定向
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orientable surface：可定向的曲面
oriel window 凸肚窗 | orientable surface 可定向的曲面 | oriental army worm 粘虫
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orientation class：定向类
orientation 定向 | orientation class 定向类 | orientation of surface 曲面的定向
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orientation of surface：曲面的定向
orientation class 定向类 | orientation of surface 曲面的定向 | orientation of torsion 挠率的定向
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orientation of torsion：挠率的定向
orientation of surface 曲面的定向 | orientation of torsion 挠率的定向 | orientation preserving automorphism 保持定向自同构