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After the mathematic model of spatial spectrum analysis was introduced, interharmonic signals can be transformed to spatial signals received by linear sensor array through Euler\'s formula or Hilbert transform. The number of sinusoidal components of the interharmonic parametric model was corresponding to the source number of transformed spatial signals, and the frequencies of sinusoidal components were corresponding to that of transformed spatial signals.

3介绍了空间谱分析的数学模型，证明了间谐波信号经欧拉公式或希尔伯特变换后可以转变为空间线性阵列接收的空域信号，正弦成分数对应空域信号源数，正弦成分频率对应空域信号频率。

With the expeditious development of computer technology and with the impetus of mathematic,control theory advanced with great progress,especially robust control theory.

计算机技术日新月异的发展，数学工具与控制理论更为紧密的结合，这些都使得鲁棒控制理论与应用在过去的十几年得到了迅速的发展。

Two stable dynamic mathematic models of extrusion have been created, which have some relation with times, by using the experiment data of extrusive processing of instability.

利用非稳定状态挤出过程的试验数据，建立了与时间关联的两个不同稳定状态之间产率变化的动态数学模型。

This paper sets up the mathematic model of heat transfer and oil flow, and finishes the calculation of oil flow distribution and temperature field of winding in large natural oil circulation power transformer with oriented cooling structure.

本文建立了传热与流动数学模型，完成了大型自然油循环导向冷却方式变压器的油流分布和绕组温度场计算。

In financial Mathematic and Financial Engineering, the theory of options pricing is the core of our study fields.

在金融数学与金融工程中，期权定价理论是我们的主要研究领域之一。

First, a mathematic model for laser diode with a cool is established, which is looked as a first order segment of inertia in theory. It analyzes the step response in the S field and the time field separately after adopting PID control technique, and it also analyzes the equivalent noise model of the amplifying circuit.

首先从理论上对带制冷的半导体激光器组件建立了数学模型，将其看作一阶惯性环节，分别在S域和时域里详细分析了采用PID控制技术后的阶跃响应；同时也对光接收机放大电路等效噪声模型进行分析。

Part 3 improves the former 2-D flow mathematic model and sets up a new one, which considers the situation of the barrel-drain existing in flood detention areas and the different hydraulic characteristics of flood between the barrel-drain field and out of the barrel-drain.

第二部分采用已有的蓄滞洪区二维水流数学模型模拟东西湖蓄滞洪区洪水演进过程，并对拟建的穿越该蓄滞洪区的高速公路工程和高压输电线路工程进行了防洪影响评价。

In this article two functional modes of the Fly-back Converter (Continuous Conduct Mode and Discontinuous Conduct Mode) are particularly analyzed, which include their characteristics, applications, the critical pattern of two functional modes is argued, both the exact boundary from the angle of circuit parameters is crystallized, at the same time, basic principle of PFC under the DCM mode is introduced, which settle theoretical basis for the subsequent design; by establishing the mathematic model of the converter, a further investigation of the configuration is made, qualitatively and quantitatively, analyzed to settle exactly theoretical basis for the subsequent emulation and the experimental parameter; from the angle of steady-state analysis, the transfer function of the system is deduced to establish dynamic small-signal state equation, emulating the system with the help of matlab, then according to the simulation result and the theory of PFC revise the system, lastly, we adopt the project which add a zero-pole compensator to the voltage loop, by this way, a satisfied system performance is gained and the PFC scheme is ensured successfully; finally, based on the previously-done work, we combining with the situation of specific design requirement, acquired the numerical value of each unit devices in this converter

详细分析了反激式变换器的两种工作状态，连续模式(Continuous Conduct Mode ，简称CCM)和断续模式(Discontinuous Conduct Mode，简称DCM)以及各自的特点、应用场合，论证了两种工作状态的临界模式，从电路参数的角度明确了二者的界限，同时还介绍了DCM模式下PFC的基本原理，为后面的设计奠定理论基础；通过对整个变换器系统建立准确的数学模型，对此变换器的电路结构做了进一步的研究，定性、定量地分析了变换器各部分的工作状态，为仿真和实验参数的确定以及电路参数的优化提供理论依据；从稳态分析的角度，为系统建立了动态小信号状态方程并推导出系统的传递函数，利用matlab对系统进行仿真，进而根据仿真结果以及PFC的相关理论对系统进行校正，采用在电压环加入零点—极点补偿器的设计方案，得到了满意的系统特性并且保证了PFC的顺利实现；最后，在前面所做工作的基础上，结合设计要求计算出此变换器系统中每个元器件的数值，利用Pspice对其进行了仿真、优化，然后根据仿真结果搭建了硬件电路。

First, mathematic description of FOG's modulation signal was analyzed, and then three methods for producing modulation signal with adjustable amplitude were discussed, which are direct wave table method, multiplicative amplitude adjusting method and two-level wave table method. Their advantage and disadvantage were analyzed.

首先对光纤陀螺调制信号的数学描述进行了分析，在此基础上提出了三种幅度可调调制信号的产生方法，即直接波表法、乘法调幅法、两级波表法，并分析了三种方法各自的优缺点。

First,mathematic description of FOG's modulation signal was analyzed,and then three methods for producing modulation signal with adjustable amplitude were discussed,which are direct wave table method,multiplicative amplitude adjusting method and two-level wave table method.

首先对光纤陀螺调制信号的数学描述进行了分析，在此基础上提出了三种幅度可调调制信号的产生方法，即直接波表法、乘法调幅法、两级波表法，并分析了三种方法各自的优缺点。

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。