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Finally,the number of genus embeddings of complete tripartite graph K_ is easily estimated.

最后对完全三部图K_不同最小亏格嵌入的数目作了估算。

On the product of unit spheres,we give a kind of natural embeddings from the product unit spheres to the unit sphere in which the product of unit spheres can be viewed as a hypersurface.

第一个是在乘积单位球面上，我们给出自然的由乘积单位球面到高一维球面的嵌入映射，然后考虑了在乘积单位球面上预给定Gauss-Kronecker曲率后，我们所考虑的嵌入的存在性。

For the embedded coordinates of new data are irrelative to the embeddings of training sets, IATP is insensitive to noise.

对于含噪声的数据，由于新样本的低维嵌入与训练集的低维坐标无关，基于拓朴保持的增量式算法对噪声不太敏感。

By using Jordan Curve Theorem and classical combination, we obtain the formulas for computing the flexibility of wheels and wheel-like graphs on the torus. 2. By C.Thomassen's work on Large Edge Width embeddings, we obtain some properties of some locally LEW-embedded graphs.

利用Jordan曲线定理和经典的组合计数方法，得到了轮图在环面上柔性的计算公式，结合轮图的结果以及环面的性质，得到了轮型图在环面上柔性的计算公式。

By using Jordan Curve Theorem and classical combination, we obtain the formulas for computing the flexibility of wheels and wheel-like graphs on the torus.2. By C.Thomassens work on Large Edge Width embeddings, we obtain some properties of some locally LEW-embedded graphs.

利用Jordan曲线定理和经典的组合计数方法，得到了轮图在环面上柔性的计算公式，结合轮图的结果以及环面的性质，得到了轮型图在环面上柔性的计算公式。

In chapter six,we discuss the maximum embeddings for nearly Kirkman triplesystems.With at most 14 possible exceptions,we completely solve this problem.

第六章我们讨论了拟Kirkman三元系的最大嵌入问题，除14个可能的例外，我们完全解决了这一问题。

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。

Finally,further generalizes the given graphs to obtain a new type of graph and gives a description about genus distribution of orientable embeddings for this type of graph.

最后把上面图类进一步推广，得到了一类更一般的图，并对其可定向嵌入的亏格分布进行了刻画。

Interconnection network is a key topic of parallelism.Embeddings allow the new architecture to emulate the old one.High efficient embeddings can improve the performance of parallel algorithms.

网络嵌入是互连网络研究的一个重要方向，通过网络嵌入可以用一种拓扑结构模拟另一种结构，高效的嵌入会提高并行程序的运行效率。

The authors' laboratory once compared the effects of embeddings with the homemade paraffin and epon resin on the morphometric study of testicular structures, and, recently, also compared effects of embeddings with the internationally commonly-used Leica paraffin and methacrylate resin and magnifications on the morphometric study of renal structures.

笔者实验室以前对比过国产石蜡与环氧树脂包埋对睾丸组织形态定量研究的影响，最近又对比了国际上常用的Leica石蜡和甲基丙烯酸树脂包埋以及放大倍数对肾脏组织形态定量研究的影响。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。