应用数学

By using modern mathematical theory,the ordering axiom is generalized tothe lattice-order axiom,and the continuity axiom is weakened to constructlattice-order decision-making behavior axioms,of which rationality is confirmed.

应用现代数学理论，将Von Neumann-Morgenstern理性行为公理体系中的全序刻划推广为格序刻划，并相应地弱化连续性公理，建立起新的格序决策行为公理体系，研究了该公理体系的合理性。

The book is divided into 14 chapters, including Introduction, continuous control system theory, process and discrete sampling, Z transform, sampled-data systems, discrete approximation of continuous system the equivalent, based on mathematical transform the classical design method, based on state space pole placement design methodology, multi-variable system of quadratic optimal control, quantitative effects, the choice of sampling period, the digital control system modeling, digital control system for a variety of design methods, variables quadratic optimal control systems, sampling cycle of selection, non-linear control of the problem, as well as digital control system, a typical application - Disk drive servo control design.

全书共分14章，内容包括概论、连续控制系统理论、采样过程和离散化、Z变换、采样数据系统、连续系统的近似离散等效、基于数学变换的经典设计方法、基于状态空间的极点配置设计方法、多变量系统的二次型最优控制、量化效应、采样周期的选择、数字控制系统的建模问题、数字控制系统的各种设计方法、变量系统的二次型最优控制、采样周期的选择、非线性控制的有关问题，以及数字控制系统的一个典型应用——磁盘驱动器的伺服控制设计等。

Advanced Mathematics is an important fundamental theory subject for researching Continuous Variable of engineering and information profession in the University, it is one of the important courses for training students basic quality, and it have important applications in extremely wide range of areas.

高等数学课程是大学工科类和信息类本科专业中研究连续变量的一门重要的基础理论课，是培养学生基本素质的重要课程之一，它在极为广泛的领域有着重要的应用。

For a long time, it is a main factor to hamper the real-time application of SHET. The research is carried on aiming to quickening convergence speed. The automatic-changing Homotopy algorithm is proposed in the dissertation. The algorithm, which can change the solving method based on fundamental component, has the advantages of large convergence domain, high convergence rate and high precision. Many trigonometric functions are contained in the mathematical model, during solving equation, the calculated speed and the precision are affected by the calculations of trigonometric functions.

特定谐波消除技术的数学模型是一组非线性方程组，长期以来，方程的求解一直是限制该技术实时应用的关键因素，本文针对特定消谐方程组的快速求解进行细致的研究，提出自动变同伦算法，该算法可根据基波幅值的取值范围来决定采用的求解方法，其对求解方法的可选择性使该算法与其它算法相比具有计算速度快、收敛域宽、计算精度高等优点。

In this dissertation, we study some fundamental issues on whether there exists arbitrage in the complicated finical market by employing no-arbitrage approach, optimization theory and convex analysis, and establish some ar-birage pricing model.

本文应用金融学的无套利分析方法并结合优化理论和凸分析等数学工具，研究复杂多变的金融市场中是否存在套利等基本问题，建立了一些新的套利定价模型。

Especially, we study the applications of Jensen inequality of convex function in proving inequalities.

在此基础上，利用凸函数的Jensen不等式，证明了一些应用初等数学知识难以证明的初等不等式，显示出凸函数在不等式证明中的重要性。

The convex quadratic programming is an important branch of mathematical programming.

凸二次规划是数学规划中的一个重要分支，它在经济，市场均衡，管理，军事等各个领域均有重要应用。

The result shows that the ISA based data-collecting card can corporately work with the fault-diagnosing system and the method we used is suitable for the systems which can construct the model.

研究结果表明：开发的基于ISA总线的采集卡系统能方便的应用于某型武器火控系统的故障诊断系统中；以此采集卡为试验平台，基于状态观测器的故障诊断方法对火控系统中能建立数学模型的分系统具有良好的适应性。

Aim of the article was to provide a new approach of the fingerprint diagram research for TCM by means of spectrometry, which was capable of indicating the character of TCM. For the purpose of getting indication of NIRDRS convolution fingerprint diagram, the visualization technology was adopted to display the information which have been processed by convolution transform, then color-coded image was displayed in computer and the similarity coefficient was worked out between the fingerprint diagrams by cosine formula. Part one Theory and system design The spectrometry (UV/Vis, NIR, IR) is disadvantageous in the fingerprint analysis of complex systems both its difficulty of specificity and the similarity of TCM.

本文的研究目标是采用光谱手段，建立能够标示中药特性的指纹图谱技术，为中药指纹图谱研究提供新的思路和方法：通过采集中药的光谱信号，结合有"数学显微镜"美誉的小波变换技术，对光谱信号进行数据挖掘，捕捉和研究物质对光吸收特性的变化，大幅度增加可供利用的信息；同时运用科学计算可视化手段及伪彩色图像处理技术，得到基于虚拟直观计算机图像信息的中药光谱指纹图谱，并将该指纹图谱应用于药物的鉴别分析。

The grey assessment model for the country rock stability of underground projects is established .

结合实例说明了该模型的应用，并与用模糊数学方法评价的结果进行了对比。

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。