应用数学

Therefore, it has the important scientific research value in studying the relationship between the changing of the parameters (including the temperature, the humidity, the grain radius and so on) and the electricity and radioactivity of the medium. Applied the count statistics and the numeral value analysis, the paper analyzes, concludes and contrasts the data sufficiently through the experimentation, and acquires the following results that the resistivity and the polarizability both have the negative relationship with the temperature variety of medium from 0℃ to 200 ℃. The parallactic poalarizability is consistent with the temperature variety in the plan as well as the section, but their trends are exactly opposite. Power supply voltage has no considerable influence to the resistivity and polarizability by using duality variance analysis, however, the detecting depth and the plan position influence them greatly. Different AB/2 interval that increases by degree does not influence variance and the average value of the resistivity and the polarizability remarkably. By using the least double multiplication, the relationship of temperature-time-the influence radius of the fire source is carried up by the mathematic drawing up. After discussing their correl ation, I educe the influence radius of the fire source and carry out the 'trend analysis and forecast to the spacial changing of the temperature and the parallactic polarizability in the end.

本文通过试验并应用数理统计和数值分析等相关理论对所得到的试验数据进行了分析、归纳和对比，得出了介质温度变化在0-200℃内视电阻率和视极化率与温度均表现为负相关性；视极化率与温度在剖面和平面上的变化形态具有很好的一致性，但变化趋势相反；由二元方差分析可得供电电压对视电阻率和视极化率无显著影响，但探测深度和平面位置对视电阻率和视极化率有显著影响；通过假设检验可证不同AB／2递增间隔，对视电阻率和视极化率的方差和平均数影响都无显著性差异；应用最小二乘法对温度——时间——火源影响半径之间的关系进行了数学拟合，讨论了它们之间的相互关系，得出了火源影响的有效半径，太原理工大学硕士研究生学位论文并对温度和视极化率的空间变化作了趋势分析和预测。

Calculated flux distribution of the upfeed system in the household hot water heating.

介绍了分户式热水供暖系统的水力工况原理，通过分析分户供暖系统的水力特点，应用不等温降的管网水力平差的计算方法，建立了分户供暖管网系统水力分析的数学模型，并应用该模型对工程中习惯采用的下供下回式分户热水供暖系统进行了分析，编制了水力分析软件。

Introduced the principles of hydrodynamics in the household hot water heating system,Analyzed characteristics of hydrodynamics in the household hot water heating system,using unequal temperature reduction hydraulic balance method,established hydraulic analysis mathematics model for household hot water heating system.Using the model analyzed the upfeed system of household hot water heating in engineering.

介绍了分户式热水供暖系统的水力工况原理，通过分析分户供暖系统的水力特点，应用不等温降的管网水力平差的计算方法，建立了分户供暖管网系统水力分析的数学模型，并应用该模型对工程中习惯采用的下供下回式分户热水供暖系统进行了分析，编制了水力分析软件。

This paper, in the point of technique, mainly descrides the concrete ways and applications of clinker liter weight mathematics model in burning ■one founded by the means of recoynition technique, the economic benef■t gained in automatic control process and the application in the mechanism a■lyses.

本文着重从工艺方面叙述用识别技术建立烧成带熟料升重数学模型的具体作法和它的应用、模型在自动控制过程中收到的经济效益以及在机理分析中的应用。

By quantitating data and using the AHP, I succeeded in analyzing how the overall quality of the teachers and their teaching skills work in improving the mathematics teaching quality on class, from which we got the conclusion that the teaching skills and the way to put forward questions on class play the most important role in the class mutual activities. Besides, Mrs. Xing collaborated with me on the thesis named "The Application of Analytic Hierarchy Processinto the Evaluation of Class Mutual Activities".

通过量化数据，应用AHP层次分析法定量分析老师的综合素质、授课技巧等因素在师生互动、提高数学课堂教学质量中所起的作用，得出教师的授课技巧和课堂问题设置在课堂互动中所占分量最重的结论，并和邢老师合作完成《层次分析法在课堂互动教学效果评价中的应用》论文

In applying high concentration burning technique to improving burning efficiency for pulverized coal burner, for studying the effect of solid flows of different concentration on burning, Euler mathematical model is set up using gas-solid two phase flow theory. The paper describes the low concentration pulverized coal in horizontal primary air pipe. The relationship between the velocity and concentration of gas phase and that of solid phase, and the effect of gas flow velocity on gas-solid two-phase flows, is arrived through calculating the flow field. Reasonable gas flow velocity is proposed.

在应用高浓度燃烧技术提高煤粉炉的燃烧效率时，为了研究不同浓度固相流动对燃烧的影响，应用气固两相流理论建立Euler数学模型对一次风水平管道中低浓度的煤粉颗粒进行了描述，通过求解流场，得到了管内气相和固相的速度和浓度的分布关系，及其气体流速对气固两相流动的影响，并提出合理气流速度。

With the extension of network used, for example high expenses, long application, a great deal of fuzzy language have been distance and low cost and so on.

随着网络应用范围的拓宽，应用中使用了大量的模糊语言，比如&费用高&、&距离远&和&代价低&等等，对于这类问题难以建立精确的数学模型。

Chapter one involves a survey of the fundamental knowledge and achievement obtained by foregoers on the subjects for the purpose of the later parts in this dissertation, including the introduction of the history and development of mathematics mechanization, brief review of the history and status in quo of the fractional calculus and soliton theory.

第一章介绍了论文的基础知识以及前人工作的成果：包括介绍数学机械化的思想与应用的情况；回顾分数微积分的历史和所应用的领域；简单介绍孤立子研究的历史、发展与成果。

This thesis makes use of complex numbers to study geometry. It mainly considers the following questions: using complex numbers to express collected points and curves on the level;geometric applications of complex numbers on collinear,concurrent,round,Mobius Mappings of Complex numbers problems,etc..Meanwhile,this thesis recommends some methods for thinking on mathematics.

本文利用复数来研究几何，主要考虑如下的问题：平面上的点集的复数表示；平面曲线的复数表示；复数在共线、共点、共圆、复数的麦比乌斯变换等几何问题上的应用，在说明这些应用的同时介绍一些数学上常用的思考方法。

The theory and methods of generalized inverse of matrice are important basic tools in many mathematical desciplines,and have extensive applications in economics,statistics,surveying,optimization techniques,information processing,operations research and so on.

广义逆矩阵的理论和方法，不仅是许多数学分支的重要工具，而且在经济学、统计学、测量学、最优化、信息处理和运筹学等应用学科中都有着非常广泛的应用。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。