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The main conclusions of this chapter are the following: There is no absolute regional convergence since 1978, even the period were divided into two stage: 1978-1991 and 1992-2002; There exists absolute convergence among the provinces in eastern region in the period 1978-1991, the phenomena is alike to the central and western regions, so the club convergence is the fact of the regional economic growth in this stage; From 1992 to 2002, instead of the club convergence, there exists conditional convergence, human capital, capital investment, international trade and FDI influenced the regional economic growth rate markedly; The distribution of income across provinces don't transform from a unimodal into a bimodal distribution.

本章的基本结论是：改革开放以来不存在绝对收敛，即使将整个改革时期划分为1978—1991年和1992—2002年两个区间也是如此；1978—1991年期间，东部地区和中西部地区内部各自存在人均GDP和劳均GDP增长的收敛，从而形成了俱乐部收敛；1992年之后，并不存在俱乐部收敛，但存在一定的条件收敛，人力资本、物质资本投资、国际贸易和FDI对劳均GDP增长有着重要的正向影响；收入分布并没有发生由单峰向双峰分布的转变，总体上单峰的态势依然十分明显。

Fuzzy controller is designed according to human"s controlling experience of systems. After reducing the operator"s controlling experience to a set of qualitatively descriptive conditional statements, and then quantifying them by using the theory of fuzzy set, the controller can transform the natural language of human"s controlling strategies into the algorithmic language acceptable for the computer, then the controller can receive human"s experience, and imitates humans operating strategies and effectively control some objects that can not be constructed into the mathematical model.

模糊控制控制器是以人对被控系统的控制经验为依据而设计的，它把操作人员的控制经验归纳成定性描述的一组条件语句，然后运用模糊集合理论将其定量化，把人的控制策略的自然语言转化为计算机能够接受的算法语言所描述的控制算法，使控制器得以接受人的经验，模仿人的操作策略实现对一些无法构造数学模型的被控对象进行有效的控制。

A little bit of practice is all you need to be able to transform the garbage heap into compost and the compost into flowers.

只要稍加练习你就可以把垃圾堆变为堆肥，堆肥变成鲜花。

Among used machine learning methods, the gradient descent method is widely used to train various classifiers, such as Back-propagation neural network and linear text classifier. However, the gradient descent method is easily trapped into a local minimum and slowly converges. Thus, this study presents a gradient forecasting search method based on prediction methods to enhance the performance of the gradient descent method in order to develop a more efficient and precise machine learning method for Web mining.However, a prediction method with few sample data items and precise forecasting ability is a key issue to the gradient forecasting search method. Applying statistic-based prediction methods to implement GFSM is unsuitable because they require a large number of data items to model a prediction model. In the contrast with statistic-based prediction methods, GM(1,1) grey prediction model does not need a large number of data items to build a prediction model, and it has low computational load. However, the original GM(1,1) grey prediction model uses a mathematical hypothesis and approximation to transform a continuous differential equation into a discrete difference equation in order to model a forecasting model.

其中梯度法是一个最常被使用来实现机器学习的方法之一，然而梯度法具有学习速度慢以及容易陷入局部最佳解的缺点，因此，本研究提出一个梯度预测搜寻法则(gradient forecasting search method， GFSM)来改善传统梯度法的缺点，用来提升一些以梯度学习法则为基础的分类器在资讯探勘上的效率与正确性；而一个所需资料量少、计算复杂度低且精确的预测模型是梯度预测搜寻法能否有效进行最佳解搜寻之关键因素，传统统计为基础之预测方法的缺点是需要较大量的数据进行预测，因此计算复杂度高，灰色预测模型具有建模资料少且计算复杂度低等优点，然而灰色预测理论以连续之微分方程式为基础，并且透过一些数学上的假设与近似，将连续之微分方程式转换成离散之差分方程式来对离散型资料进行建模及预测，这样的作法不尽合理，且缺乏数学理论上的完备性，因为在转换过程中已经造成建模上的误差，且建模过程仅考虑相邻的两个资料点关系，无法正确反应数列未来的变化趋势。

First, we extend the general finite element method from the function surface to the parameter function. Second, we bring this kind of method into the design of rational Bézier minimal surface. Third, we transform the problem of Dirichlet energy function into the problem of minimizing a discrete objective function.

首先推广了函数曲面中的有限元方法，进而研究如何针对参数曲面使用有限元方法，并把该方法引入到有理Bézier极小曲面造型的设计中，从而将连续的Dirichlet能量函数极小化问题，转化为一个离散形式的目标函数的极小化问题。

Area coordinates and general Duffycoordinates are employed to transform the singular integrals of the Time-Domain Electric Field Integral Equation into non-singular integrals, which can be accurately and efficiently evaluated by dividing the transformed domain of integration into sub-domains.

摘要该文首先利用参数坐标和广义Duffy坐标变换将时域电场积分方程的奇异性积分转换成非奇异性积分，然后根据时间基函数的特点将该积分转换成可以快速精确计算的分区域积分。

First, we divide the input signal into four non-uniform subbands via discrete wavelet transform. In addition, a nonlinear Teager energy operator is then utilized into each subband signals. We show that the TEO can decrease the influence of noise on subbands significantly. Besides, the other advantage is suitable for the result of subband auto-correlation function.

首先，离散小波转换将输入讯号分成四个不均匀大小的子频带，而在每个子频带上采用一种非线性的Teager能量运算(Teager Energy Operator， TEO)以有效抑制噪音在各子频带的影响，而另一优点就是有助於子频带自我相关函示(spectral auto-correlation function， SACF)之结果。

At this very moment, perhaps, Toad is busy arraying himself in those singularly hideous habiliments so dear to him, which transform him from a good-looking Toad into an Object which throws any decent-minded animal that comes across it into a violent fit.

说不定这会儿，蟾蜍已经在穿戴他心爱的那套其丑无比的服装了。本来还不难看的蟾蜍，穿上那身衣服，就成了个怪物，不管哪个头脑清醒的动物见到他，都会吓晕过去的。

In the layout analysis, we chose a bottom-up algorithm based on nearest neighbor connect-strength and line confidence to segment the image area, table area and text area; In the printed Chinese character recognition module, we calculate the degree of incorporative difference to match the character, also define a refusal class which could orientate the mathematical expression automatically; Put the expression into the formula processing module, then we chose the character segmentation method based on connectivity and the template match method to recognize the character in the mathematical expression and at last we used the structure analysis based on the character to transform the two dimension formula into one dimension Word EQ expression.

在版面分析中，采用基于最近邻连接强度和行列可信度的自底向上的版面分析算法，分割出图像区域、表格区域和文本区域；在汉字识别模块中，采用回溯切分方法切分出字符段，计算合并差异度与特征字典比较，通过引入汉字的拒识类，从而实现了公式的定位；将定位后的数学公式送入公式识别器，在公式识别器中采用基于连通域搜索的字符分割方法和模板匹配方法对字符识别，对于识别出的字符，再采用基于特征字符的结构分析方法，从而将二维的数学公式转化为一维的Word EO域语句。

First, we transform many TFBS sequences with the same length into a model of 24-demension vector. Second, the TFBS that will be identified are transformed into 24-dimension vector, too. Third, we calculate an angle vector between vector of the TFBS and model vector in different dimension.

此方法先把多条具有相同长度的转录因子结合位点序列转化为一个24维的向量模型，同时把待识别的各条序列也转化为相应的24维向量，然后计算待识别序列对应的向量与模型向量之间在各个分量上的角度，从而得到一个24维的角度向量。

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。