应用数学

After we analyzing the model of BLDCM, the FNN control which adopts Kalman filter arithmetic is applied in the speed controller.

在分析了直流无刷电机数学模型的基础上，将采用了卡尔曼滤波学习算法的模糊神经网络控制应用于直流无刷电动机速度控制器。

There is extensive application, especially two-dimensional、three-dimensional vector quantity in a lot of fields of modern mathematics in the vector quantity, they have a form of expression of the array, there are ocular geometry meanings, so can become the effective tool which study the geometry problem of middle school.

向量在近代数学的很多领域中都有广泛的应用，特别是二维、三维的向量，它们既有数组的表现形式，又有直观的几何意义，因此能成为研究中学几何问题的有效工具。

Firstly, The sufficient con-ditions of the existence and uniquity of the positive equlibria by applying functional derivative isobtained; Secondly, the global attractability of the positive equlibria is investigated by charateristicroots theory and oscillation theory; Thirdly, regarding the delay as a parameter, conditions of theexistence of Hopf bifurcation and the peridic solution, furthermore, the form of the approximateperidic solution are obtained; Finally, Some specific examples are given and the solution diagrameappears by Matlab.

首先利用导数性质，得到了该模型正平衡态存在惟一性的充分条件；其次，利用特征值和振动性理论得到了该模型正平衡态全局渐近稳定性充分条件；然后，应用Hopf分支理论证明了该模型Hopf分支及近似分支周期解的存在性，并给出了周期解的近似表达式；最后，借助于MATLAB数学软件，举例并绘出了模型数值解的拟合图象，验证了文中定理条件的可行性。

This article is focused on the use of Mathematica graphics functions to perform some abstract concept of mathematical analysis, the conclusion of the understanding; auxiliary function for the extreme value; and its application in the series.

本文主要讨论的是利用Mathematica的绘图功能来演绎数学分析中某些抽象的概念、结论的理解；辅助求函数的极值；和它在级数中的应用。

The economics methodology has formed a whole battery of analytical framework and tool under the influence of scientific philosophy, which is characterized by logic positivism, negativism and historical materialism. The fundamental characteristics of the economics methodology are based on the axiomatization positive logic deductive method, which assumes the rational human being as its hypothetic premise. The most remarkable characteristic of the economics methodology is the general application of mathematics in economics and it is developing forward to the more accurate and magnificent system.

特别是在以逻辑实证主义、证伪主义和历史主义为代表的科学哲学的影响下，经济学的方法论已经发展出一整套的分析框架与工具，基本特征是建立在"理性人"假设基础上的公理化的实证的逻辑演绎方法，最突出的表现是数学在经济学中的广泛应用，并正在向着更为精密与恢弘的体系演进。

Applying the law of conservation of mass,movement theorem of steady flow , and applying the mathematical method of stream function with the consideration of the axis symmetry,the three components of velocity quantum of the flow are deduced in detail.

本文详细阐述了旋风分离器内流动在球坐标系中的数学表述和结果，应用质量守恒定律和定常流动的运动定律，在轴对称的考虑下，用流函数方法详尽推导了流动的三个速度分量。

In chapter 3, a MFA model was developed for concise MFA of Clostridium acetobutylicum by using metabolite balancing method.

第三章：应用稳态代谢平衡，建立了丙酮丁醇梭菌代谢流量分析的数学模型，并对该模型的准确性进行了验证。

The paper is based on the practical application of certain armed helicopter's barbette tracking system, which has discussed the model of AC servo system, the testing and modeling of certain micro-machined velocity gyro. The article also studied the tracking quality in which the system has used the motor encoder and the velocity gyro as the velocity loop feedback respectively.

以某武装直升机炮塔随动系统实际应用为背景，讨论了交流伺服系统的数学模型、微机械速率陀螺的测试与建模；研究了分别以电机编码器和速率陀螺输出信号作为速度环反馈时，系统输出的跟踪特性。

The establishment of membership function is the basie and critical key in its application, theory and practice.

隶属函数的确立，是模糊数学及其应用在理论上和实践中的基本和关键问题。

In this paper the method of combinational mathematics is used to deduce the probability generation function of the longest run in the Bernoulli trials,and get the probability generation function without using its probability function of kth order geometric distribution.

游程及其相关理论广泛地应用于随机检验、质量控制、DNA数据分析等许多领域，提出使用组合数学的方法推导出贝努利试验中最长游程的概率发生函数的计算公式，利用所得到的结果可以不用k阶几何分布的概率函数而很容易地得出它的概率发生函数。

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。