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The project proposed and established the strict unique mathematical model of instantaneous frequency aiming at the currently existed problems in Hilbert Huang Transform form the viewpoint of physical connotative meaning; proposed and established the strict mathematical model of general intrinsic mode signal based on the concept of general continuous intrinsic mode signal and the compositive principle of practical general intrinsic mode signal; researched and proposed the fitting method of envelope lines in HHT from the viewpoint of theory, conquered the blindness and random in quondam EMD envelope line fitting and boundary treatment; developed a virtual time-frequency analyzer based on general intrinsic mode signal decomposition to open out the local time-frequency characteristics of nonlinear and nonstationary signal more deeply and accurately.

本项目针对希尔伯特-黄变换现阶段存在问题，从物理内涵的角度提出并建立了瞬时频率严格的唯一的数学模型；基于连续性的一般固有模态信号的概念和实际信号的一般固有模态信号的组成原理，提出并建立了一般固有模态信号严格的数学模型；从理论角度研究并提出HHT中的包络线构造方法，克服了原EMD的包络线构造和边界处理的盲目性和随意性；研发一台基于一般固有模态信号分解的虚拟式时频分析仪，使之可以更深入、准确地揭示非线性非平稳信号的时频局部特征。

Sylvester",,"Perhaps I may without immodesty lay claim to the appellation to Mathematical Adam, as I believe that I have given more names (passed into general circulation) of the creatures of the mathematical reason than all the other mathematicians of the age combined.

"，"也许我可以并非不适当地要求获得数学上的亚当这一称号，因为我相信数学理性创造物由我命名的比起同时代其他数学家加在一起还要多。

Sylvester Perhaps I may without immodesty lay claim to the appellation to Mathematical Adam, as I believe that I have given more names (passed into general circulation) of the creatures of the mathematical reason than all the other mathematicians of the age combined.

也许我可以并非不适当地要求获得数学上的亚当这一称号，因为我相信数学理性创造物由我命名的比起同时代其它数学家加在一起还要多。

According to mechanism of ECBM/CO2 sequestration, a mathematical model was developed. In the mathematical model, two-phase flow, multiple gas components and mixed gas sorption, impact of coal matrix shrinkage and swelling on permeability, pressure loss in wellbore were studied.

给出了多分支井模拟CO2注入开采数学模型，模型考虑了气水两相流动、多组分气体吸附、煤基质膨胀和收缩对渗透率的影响以及分支水平井井筒压降；根据数学模型得到了相应的数值模型和计算程序，进行了模拟计算对比。

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。

A new kind of the mathematical discription of fines deposition, release and migration in porous media was formulated. So, a new mathematical tool was given for the quantitative discription of the injectivity decline due to the fines problem.

与现存理论相比，本文提出的数学模型具有如下方面的特点： 1、由于直接从微粒在孔隙内的动力学特征出发，因此，模型中需要由实验确定的模型参数较少，同时，模型中不出现由实验确定的经验的关系式。

This dissertation focuses on the vector stochastic integral and its applicationsto mathematical finance. We first conduct a comprehensive study on VSI and provide aneconomical justification on the question of why VSI is more suitable than the component-wise stochastic integral for mathematical finance.

本论文以向量随机积分为主线，首先较为系统地研究了向量随机积分，给出了在金融数学中使用向量随机积分较之使用按分量的随机积分更合理的经济学解释。

The in paper discnssed to mathematical model of quality control for TMP pulp,establishing an set mathematical model for consistency control and interstice control of disc refiner.

通过TMP盘磨机磨浆的大量试验数据，提出并建立了控制磨浆质量的数学模型，即控制磨浆浓度的数学模型和控制盘磨间隙的数学模

As von Neumann computers are based on the theory of mathematical logic, current computers are incomparably successful in processing mathematical problems. However, it's very difficult for them to process linguistical information such as natural language.

由于冯。诺依曼式计算机的理论基础是数理逻辑，现今的计算机处理数理问题无比成功，然而处理自然语言等文理信息却非常困难。

"Logicists supposed that abstract mathematical objects can be entirely developed starting from basic ideas of sets and rational, or logical, thought; a variant of logicism, known as mathematical Platonism, views these objects as existing external to and independent of an observer"

逻辑主义认为抽象的数学对象全部可以从基本的几组想法以及合理的或逻辑的思想发展出来，称为数学的柏拉图主义的一个变型把这些对象看作是观察者之外的、独立的存在

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。