数学化

The finite element method was combined with homogenization theory based on asymptotic expansion for predicting effective properties of crystal polymer nanocomposites, double nanoscopic level homogenizations and one microscopic homogenization were used.

利用数学上的渐近均匀化理论，结合有限元方法，经二次纳观层次的均匀化和一次细观层次的均匀化，预测了聚合物基纳米复合材料的有效性能。

This paper shows the methods of finding the sum of the Geometric Progression for the first n terms and the rule for extracting square root in Llvat , which is a famous mathematical work in the 12~ century Hindu, and compare them with the corresponding traditional Chinese algorithmic methods, in order to show the characteristics of mathematics in the two countries.

以12世纪印度著名数学著作《丽罗娃底》中的等比数列求和与开方为例，与中国传统数学中的相应算法进行比较，以展现中、印数学的算法化特色。

Coke properties has been studied by high temperature SiC oven、infrared gas analyzer and X-ray diffraction. First set forward the relationship between UPC and coke reactivity, strength, fine coke and coke graphitization, and creatively find the graphitization degree of coke tends to 100% when temp. reaches to 1350℃ UPC is profitableness to coke properties;②The effect of UPC on liquid slag distribution and flow functions in experiment oven has been studied by mathematics simulation The effect of UPC on taking shape and dropping of high titanium-bearing B. F. slag has been studied by using high temp. oven simulation cohesive zone and dropping zone of blast furnace.

为了弄清楚这部分UPC对高炉冶炼钒钛磁铁矿过程的影响，①在实验室利用高温SiC炉、红外线气体分析仪、X—射线衍射仪等进行了一系列UPC对焦炭性能及石墨化度的影响研究，提出了UPC与焦炭反应性、抗压强度、粉化性能及焦炭石墨化度之间的关系，创造性的发现高炉内1350℃以上，焦炭的石墨化度已达100％，UPC对焦炭性能的影响有益而无一害；②采用数学模拟方式研究了UPC对实验炉内液态渣分布及流函数的影响，并利用高温熔滴炉模拟高炉软熔带、滴落带研究UPC对高钛渣滴落性能的影响，采用旋转式粘度计测定滴落渣性能并通过高倍矿相显微镜观察了滴落渣的矿物结构。

Based on the analysis of the connotation and extension of math self-controlling ability, and through means of quantitative and qualitative researches, we manage to design a questionnaire of our own to collect data, and then we have a quantitative analysis, and last we begin our qualitative analysis of structures, developing laws and regulating factors of self-controlling ability.

本论文在分析中学生数学学科自我监控能力内涵与外延的基础上，设计了定量化与定性化的研究，采用自编的中学生数学学科自我监控能力问卷收集数据，以数量化的证据为依据对中学生数学学科自我监控能力的结构、发展规律及其影响因素进行了定性分析。

Symbolization is one of the most important inner powers in the development of mathematics. There are three main periods in the development of the mathematic symbols.

符号化是数学发展的内在动力之一，因此分析数学符号对数学发展的影响作用就会有很大意义。

The basic theories of mathematical morphology for binary image are stated, and the most simple structure elements of morphologic transformation for binary images are proposed and proved. The geodetic morphologic transformation models are also developed. For the purpose of improving the speed of transformation in computer, the"set symmetric difference"is introduced to adapt each model. Some new morphologic filtering models and quantitative evaluating model of filtering effects in image processing are proposed, under the applied condition. The morphologic thinning methods are studied, and two new morphologic thinning models are developed. On the basis of analyzing the characteristics of mining maps, the image vectorizing tactics and a series of algorithms are proposed, including dynamic adaptive image thresholding using two thresholds, graphic and text separation, noise removal, and multi elements extracting models with mathematical morphology. Accuracy preserving compressed vectorizing model for image vectorization is put forward to generate vector data in multi layer.

论文对二值图象形态学的基础理论进行了较系统的阐述，提出并证明了二值图象处理中形态变换的最简单结构元素，并发展了测地形态变换模型；为了提高形态变换的计算机实现速度，引入了集合论中"对称差"的概念对各形态变换模型进行了改化；针对数学形态学在图象处理中的实际应用，提出了新的形态滤波模型及滤波效果的度量评价模型；研究了形态细化方法，提出了快速形态细化和保形快速形态细化算法；在研究矿图基本特征基础上，提出了人机协同矿图扫描图象矢量化处理策略及一系列扫描图象处理算法模型，包括双阈值动态自适应图象二值化、图文分离、噪声去除、图面多种要素提取形态变换模型等；在图象栅格—矢量转换中，提出了保精度压缩矢量化模型，以生成分层要素矢量数据。

A new mathematical model is put forward numerically to simulate the wheel ovalization.. In the numerical simulation, the dynamic model of a half railway vehicle coupled with a tangent track is employed. Using the new numerical method investigates vehicle-track coupling system dynamic responses including lateral and vertical displacement of wheelsets and the vehicle, lateral and vertical vibration acceleration of the track at different phase angle of the two side wheels of the same wheelset, which are compared with that of the traditional model. The numerical results show that the discipline and frequency of dynamic responses are accordant, amplitude and phase of lateral dynamic responses are different. It is concluded the traditional track geometric irregularity excitation model does not simulate the effect of periodic wheels ovalization on vehicle-track coupling system dynamic behavior truly, the new model is more accurate and reasonable.

本文研究了车轮二阶周期性非圆化—椭圆化，建立了一个新的模拟车轮椭圆化的数学模型，结合车辆－轨道空间耦合动力学模型，计算了同一轮对左右车轮不同相位和车轮椭圆度下轮对和车体的横、垂向位移，钢轨横、垂向振动加速度，并与传统模型计算结果作了对比，分析表明两种模型的动力响应变化规律和频率一致，但横向动力响应幅值和相位均存在不同程度不可忽略的差异，因此传统的轨道几何不平顺激励模型不能真实模拟车轮的周期性椭圆化对车辆－轨道耦合动态行为的影响，而本文模型更能反映实际椭圆车轮与钢轨接触情形，计算方法准确而合理。

For studying of several problems in mathematical physics, the mathematical foundation of quantizing theory is an important subject, and nonlinear Schrodinger equation is a fundamental model in quantum mathematics mechanics.

在现代数学物理的若干问题研究中，量子化理论的数学基础是一个重要课题，非线性Schrdinger方程是量子力学中的基础数学模型。

A novel experimental technique was developed to study the aging mechanism and kinetics of crude terephthalic acid particles in acetic acid.

针对粗对苯二甲酸高温熟化过程的特点，开发了一套气液固三相熟化动力学实验技术，进行了熟化过程的动力学实验研究，对粗对苯二甲酸的熟化过程机理进行了剖析和数学描述。

In this paper, the mechanisms of the generation, migration and production for coal seam gas are researched and the geological model for coal seam gas reservoir simulation is presented, according to the theories and methods of coal seam gas geology, petroleum geology and dynamic of fluids through porous media. A three-dimensional, dual-porosity, two-phase, pseudo-steady, non-equilibrium sorption mathematical model is established with the help of petroleum reservoir numerical simulation method. After that, this complex mathematical mode is approximated and solved by finite-difference and fully implicit methods. Coal Seam Gas Reservoir Simulation software in 1. 0 version (CSGRS 1. 0) with Chinese interface of pre-and post-processing function is developed.

本文应用煤层气地质学、石油天然气地质学和渗流力学等学科的理论和方法，研究了煤储层中煤层气的生成、储集、运移和产出机理，概化出了煤层气储层模拟的地质模型；以油气藏数值模拟和数值计算方法为工具，建立了描述三维、双孔隙、非平衡吸附、拟稳态条件下气-水两相流体混相运移规律的煤层气储层模拟的数学模型；详细推导出了该数学模型的全隐式求解方法；并借助计算机技术开发了具有中文操作界面的煤层气储层数值模拟软件CSGRS 1.0，实现了这一复杂数学模型的数值求解。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。