数学分析

Mathematical analysis is largely taken up with studying the conditions under which a given function will result in a convergent in finite series.

数学的分析常被当作研究形成收敛无穷级数的和的给定函数的条件。

Based on the convex analysis and duality theorem, a kinematic shakedown formulation for 3-D problems is derived.

根据下限定理，通过引入P泛数，并采用应力函数法构造平衡应力场，建立了极限下限分析的有限元数学规划格式。

Especially, its operation does not depend on packet dropping. In chapter 5, we have analyzed the relation between link rate and link price of the Newton-like algorithm, which is proposed by Low et al to solve the utility function. And then we reduce the convergence procedure of Newton-like algorithm to a simple recursive procedure along a convex curve after the reduction and mathematical derivation. Thus, we found the reason that leads to the severe fluctuation of the sending rate during its convergence procedure, and then proposed our improved algorithm.

在第五章，我们在对Low等人提出的用于解决效益函数的Newton-like算法的链路速率与链路价格之间关系的深入分析的基础上，经过简化和数学推导，我们将其收敛过程归结为沿着一个凸曲线的非常简单的收敛过程，由此找到了导致Newton-like算法收敛过程中信源速率振荡剧烈的原因，在此基础上，我们提出了一个改进的链路算法。

Convexity and convex function have extensive applications in functional analysis, optimal theory, and mathematical economy.

凸性和凸函数在不等式、泛函分析、最优理论、运筹学、控制论及数理经济学等应用数学领域都有很多应用。

A mathematic model of topology problem is built, sensitivity analyzed and Convex Linearization method used for optimization solution.

建立了拓扑优化问题的数学模型，进行了灵敏度分析，采用CONLIN算法进行优化迭代求解，并介绍了消除数值不稳定现象棋盘格的方法。

MethodsⅠMaximal electroshock seizure was adopted to analyse the relative of dose and effect, relative of time and effect, including maximal efficacy and potency of these five extractives in mice given by ig administration.ⅡMetrazol seizure test was used to compare seizure latency, anticonvulsant rate and mortality of mice with every extractives.ⅢPharmacodynamic parameters of five alcoholic extractives were assayed by means of Pharmacological Effective Method.ⅣUsing the model of seizure rats induced by penicillin localized injected in cortex,we studied the effect of extractives on seizure latency, frequency of epileptiform discharge, highest wave of hippocampus EEG(Recoded by RM6240C multichannel physiological signal collection and analysis recorde), the changes of convulsant behaviors and the latency of seizure.

方法①采用最大电休克惊厥模型，分析灌胃小鼠各药的量效和时效关系，比较其效价强度和效能；②采用戊四唑惊厥模型，比较ig小鼠各药的惊厥潜伏期、抗惊厥率和死亡率；③采用药效法，运用数学模式及参数来模拟各药在体内的药效动力学过程；④制备大鼠皮层定位注射青霉素点燃模型，采用RM6240C型多道生理信号采集处理系统记录脑电图，比较ig各药对痫性发作潜伏期及发作程度、痫性放电潜伏期、痫波发放频率及最高波幅的影响；⑤采用HPLC法测定海马区癫痫相关递质的含量，比较各药对Glu、Asp、Gly、GABA的影响。

According to the law of conservation of sample energy during solidification, under the condition of Newton's cooling, the ordinary mathematical equation of cooling curve was analized, and a theoretical method calculating solid phase fractions and latent heat was put forward on the basis of characteristic α value.

在对碳含量、硅含量和碳当量作三维空间投影分析的基础上，根据实验数据回归出了计算铁水碳含量、硅含量、碳当量、磷含量、抗拉强度、硬度和共晶度的数学模型；为了提高对硅含量的测量精度，提出了分段定硅的技术方法。

Through analyzing the existent methods for solving the intersection point coordinate of straight line and highway curve ,combined with the general mathematical model for highway curve ,a general solution model for the intersection point coordinate is given.

通过对现有的直线与线路曲线交点坐标解算方法的分析，结合线路曲线的统一数学模型，给出了直线与线路曲线交点坐标的统一解算模型。

Then the structure feature of PMSM is analyzed, and the mathematical model is established by coordinate transformation.

然后分析了永磁同步电机的结构特点，结合坐标变换建立了永磁同步电机的数学模型。

In this paper, based on the analysis of the structure, movement principle and math model of PMSM, fundamental theories of vector control, coordinates transform and algorithm of space vector PWM are introduced and PI control, speed and position calculation methods are discussed.

本论文在分析了PMSM的结构、运动原理及数学模型的基础上，系统地阐述了PMSM交流伺服系统矢量控制的基本原理、坐标变换方法及空间矢量脉冲宽度调制波的生成算法，论述了PI控制算法和速度位置计算方法。

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。