孤立

Like an exclusive ark, the island shelters an isolated set of subspecies evolved separately from those on the mainland.

这座岛就像一艘专有的方舟，保护着演化自非洲的孤立亚种。

As a nontechnical outline, we here mention that quantum mechanics and chemistry have a structure which is linear (i.e., only dependent on the first power of the wavefunctions), local (i.e., solely defined for a finite set of isolated points) and potential (i.e., only admitting action-at-a-distance interactions derivable rom a potential energy).

作为一种非技术性的概括，我们在此提到量子力学和化学所具有的结构，是线性的〔即，仅随波函数的一次幕而定〕，局部的〔即，仅由有限副孤立点定义〕和潜能的〔即，仅承认一定距离相互作用可推论罗姆的潜能〕。

This algorithm uses the gird and density threshold method to remove isolated points of data set,selects the initial seed points in propagating tree randomly,judges vegetal direction and executes sort according to the density-based distance,calculates cluster aim function by the propagating tree value.

算法利用网格和密度阈值去除数据集中的孤立点，从网格集中随机地选取种子点，以基于密度距离作为判断生长方向及分类的依据，以网格生长树的大小作为聚类目标函数。

Thirdly, the problems of institution investor'optimal liquidation strategy and optimal liquidation time were investigated with the conditions that the price of risky asset followed arithmetic Brown motion and liquidation velocity was limited. The problems involved the following scenes: price impact function was linear expression of liquidation velocity which was boundary closed set with an isolated point; price impact function was stochastic; price impact function was nonlinear.

接着，当风险资产的价格服从算术布朗运动，且对投资者的变现速度做出限制时，研究机构投资者的最优变现策略和最优变现时间问题，其中包括：价格冲击函数为变现速度的线性函数，变现速度是一带有孤立点的有界闭集；价格冲击是随机形式；价格冲击是变现速度的非线性函数。

The Appellee and the first-instance court has intentionally isolated the complete set of civil juristic relationships between the parties, thereby leading to one-sided judgment in the first instance and adding burden to the parties litigation efforts.

被上诉人和一审法院对该三份合同在明知和已经查明的情况下，却有意割裂当事人之间的完整民事法律关系。从而造成一审判决存在片面、孤立执法（如只处理2000年合同），加重当事人的讼累。

When a substance in an isolated system changes phase, the total amount of mass does not change.

在孤立系统内物质的物理或化学性质的变化过程中，总质量保持不变。

Is said to be hyperconnected if for every minimum vertex cut C of G, G - C has exactly two components one of which is an isolated vertex.

称为超连通的，若对每个最小割集C；G-C恰有两个连通分支，且其中之一为孤立点。

Similarly, a graph X is said to be hyper-connected if every minimum vertex cut creats two components, one of which is an isolated vertex. In [8], D.Wang and J.

类似地，一个图X称为是超连通的，如果对每一个最小割集C，都有X—C只有两个连通分支，且其中一个连通分支为孤立点。

In this paper, firstly, not only the incidence matrix ,adjacent matrix, cycle matrix, cut-set matrix of an undirected graph are summarized, but also the close contact between a graph and its corresponding matrix are discussed ; secondly, many problems of a graph which are solved by analysing its matrix are listed as follows:1、The co-tree set of a graph is obtained by using its cycle-matrix ; 2、The branches of its spanning tree are given by using its cut-set matrix ; 3、By making use of the incidence matrix of a graph ,not only its vertex cut 、cut vertex 、isolated point and spanning tree can be obtained ,but also the two sides which are whether parallel or not can be judged ;4、By using their adjacent matrix ,the two graphes which are whether isomorphous or not can be judged; once more, there is a detailed introduction in view of special graph (for example: bigaritite graph ,regular graph and so on);last but not least, a graph method of calculating the N power of a matrix is given and the practical applications of the theorem for degree is indicated.

本文首先综述了无向图的关联矩阵，邻接矩阵，圈矩阵，割集矩阵以及图和它对应矩阵之间的关系；其次总结出了利用上述各类矩阵可以解决的图的若干问题：1、利用图的圈矩阵可以求其连枝集；2、利用图的割集矩阵可以求其生成树的树枝；3、利用图的关联矩阵不仅可以求其割点、点割集、连通度、孤立点和生成树，而且可以判断两条边是否平行；4、利用图的邻接矩阵可以判断两个图是否同构；再次，针对特殊图（例如：二分图、正则图等等）的邻接矩阵作了详细介绍；最后，得到了利用图计算矩阵的N次幂的方法，指出度数定理的实际应用。

I don't think these are isolated incidents.

我不认为这些都是孤立的事件。

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。