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In chapter 3,the bifurcation theory of topological current is established inthe neighborhoods of limit point,bifurcation point and higher degeneratedpoint respectively.

第三章讨论和建立了拓扑流在极限点，分岔点和高阶退化点的分歧理论。

Critical point data for these dilute SCF-cosolvent binary and ternary systems are imperative for the design of efficient supercritical separation and reaction processes. So that, it is very important to study the critical point data in binary and ternary systems.

这些超临界流体—共溶剂体系的临界点数据对于超临界萃取和反应来说是非常重要的理论参数，因此研究这些二元和三元体系的临界点数据是非常有意义的。

For example, calculating a 5% tax on a 70 cent phone charge gives different results in decimal floating point and binary floating point.

例如，计算 70 分电话费的 5%税计算，十进制浮点数和二进制浮点数计算结果的差别如下。

According to the Law of Biot-Savart, the author concludes that there is an electric current which can distort the diurnal variations of the geomagnetic vertical component beneath the boundary line of the geomagnetic low-point displacement within and in the vicinity of the day of the geomagnetic low-point displacement anomalous.

作者依据Biot-Savart定律推测，在低点位移异常期间，在低点位移线下方有一引起地磁垂直分量日变化畸变的电流通过，且该电流为线状分布，或仅在垂直面内有分布，埋深一般认为几十千米。

The comonomer in the copolymer by cat247 is trend to isolated. A few amount of comonomer could make the melting point remarkably decreased and maintain the crystalline at a relative high level. This catalyst can be use to produce the material with low melting point and high intensity such as packing film with low hotsealing temperature. The copolymer by cat24 is characteristic of uniform comonomer distribution and low melting temperature and crystallinity. Therefore, this catalyst could be used to produce LLDPE and POE according the comonomer content; cat246 has a strong copolymerization ability, and the resultant polymer has relatively high blockiness. If this trend is strengthened by adjustment of polymerization condition, the polymer can be used as thermal plastic elastomer with random and crystalline blocks.

由于各个催化剂所产生的聚合物各具特点，所以其潜在的工业用途不同。cat247的产物中共单体趋于孤立分布，极少的共单体即可使熔点明显降低而结晶度仍保持较高水平，有利于制备低熔点、高强度的材料（如低热封温度的包装膜等）。cat24的催化聚合产物无规程度比较高，对降低熔点和结晶度都十分有效，通过控制产物中共单体含量的多少，可以生产LLDPE和POE；cat246共聚合能力强，且产物有嵌段倾向，通过调整聚合条件强化这一倾向后，可以用来生产具有无规-结晶嵌段结构的热塑性弹性体。

Stan gets a point for eachbrownie point in the top-right and bottom-left quadrants.

当每个的brownie点，在右上角和左下角的象限，stan就得一分。

Ollie gets a point for eachbrownie point in the top-left and bottom-right quadrants.

当每个的brownie点，在右下角和左上角的象限，ollie就得一分。

Based on image statistical characteristic, the algorithm can search automatically the boundary start-point using Sobel operator and special template operation, then according to the connection status of every boundary point in its 8-connection neighbor field, seek automatically the search direction, form the whole data collection of a target boundary outline.

该算法依据目标图象特征，在二值图象中利用Sobel算子和特定的模板操作，自适应搜索边界起点；然后，按照每个边界点在其8邻域内的连通情况，自动寻找搜索方向，形成了完整目标边界轮廓数据集。

The particle swarm optimization is improved to overcome the difficulty in finding the shooting point of two-point boundary value problem.

针对打靶法中打靶点寻找困难的问题，提出了一种改进的粒子群算法。

Experiments show that the algorithm can extract the affine-invariant line skeleton, resist the noise and automatically determine the branch point and key point in the skeleton.

该算法能够从散乱点集上得到一维"线"性的骨架，具有仿射不变性，能够抵抗一定的噪声，自动确定骨架上的关节点和分支点。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。