数学化

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。

Keywords Closed convex cone;gradient projection method;Least-squares solution;Inverse matrix problem;Inverse eigenvalue problem;Matrix completion problem;Optimal approximation

Article From 湖南大学；应用数学博士论文 2005年度闭凸锥；投影梯度法；最小二乘解；矩阵反问题；矩阵逆特征值问题；矩阵完全化；最佳逼近

Therefore, the coordinate transformation method and related math software can be used for Lagrange modeling.

因此，对该类系统应用Lagrange方法建模时，可应用坐标变换的方法，利用数学软件推导，然后再线性化，得到系统的多自由度动力学方程。

The freeze-thaw stability of corn flour by spray drying is more desirable than other methods.

通过均匀试验设计，建立了玉米粉主要糊化参数的二次多项数学模型，并得到了面粉品质较好时的因素水平组合。

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。

In food scientific research process,the establishing of computational method in mathematical model was complex,in order to make the proces"s fool" the curvilinear regression and multiple regression were made as the example,the application method of SPSS statistics software in food scientific research modeling was introduced in this article.

食品科学研究过程中建立数学模型计算方法复杂，为使该过程"傻瓜化"，该文以曲线回归和多元回归问题为例，介绍了SPSS统计软件在食品科研建模中的应用方法。

The two-degree-freedom vibration system made of the main mass and dynamic vibration absorber in deep sea was studied. The mathematics model was built based on the principle of D'Alembert theory, and was calculated with non-dimensional equations.

以深海中附有动力吸振器的两自由度振动系统为研究对象，利用达朗伯原理建立了数学模型，并进行无量纲化运算。

Fluorescent decay temperature measurement principle was used to measure the temperature,for improving the performance of this kind of method as it has not yet reach the theoretical predict,an optimization method of enhancing the performance was brought forward,which including:(1) The trend of non-exponential variation of the actual fluorescent decay curve is the main factor leading to the result that the temperature measurement performance is not as good as describe by theoretical predict.

这一发现可用来开发高性能的荧光余辉测温装置；(2)提出截断归一化方法，通过图解和计算，得到荧光余辉非指数倾向程度的量化指标，用来优选荧光材料；(3)提出优化荧光余辉测温装置的设计概念，即物理现实、数学模型及数据处理方法要尽可能匹配，才能有效的提高装置测温性能；(4)仿真与实验验证了上述理论与方法的有效性。

We derived the scalar quantity of magnetic quasi-static vector equation in the electromagnetic crystallizer in the cylindrical coordinates by assuming condition for the mathematical modeling of the electromagnetic crystallizer and dimensionless method and reduction of parameters of electromagnetic governing equations.

在假设了对电磁结晶器数学建模的依据条件下，通过对电磁控制方程组进行参数无量纲化和简化，在柱坐标系中，推导出电磁结晶器内的磁准静态矢量方程的标量形式。

Besides, the study adopts the "Deterministic Mathematical Programming" methods of the prior scholar advanced to solve products packing and loading and to design the customer-oriented packing system.

同时使用Java 程式语言，并嵌入了数学最佳化套装软体Lingo，来开发一套以顾客需求为导向的包装承载系统。

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。