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It establishes one mathematic model to confirm target parameter based on GPS inertial navigation system. Moreover, it gives a means of obtaining firing data against the shore target based on real-time ballistic computation.

建立了基于惯性导航系统下确定目标参数的数学模型，并通过外弹道实时解算方法求取对岸目标的射击诸元。

According to equivalent circuit of the main welding circuit, a mathematic model was derived for maximum output power of theК-type alternative current rail flash butt welding machines. Based on the model, a high efficiency welding procedure was proposed, and the control program was designed.

针对目前国内大量使用的К型交流钢轨闪光焊机，根据焊接主回路等效电路建立了最大功率输出和高效焊接控制的数学模型，编制了过程控制程序。

The working process of scroll compressor is analyzied in detail, and the mathematic models describing the state parameters of working fluid in suction, compression and discharge process are presented respectively. The analysis of heat transfer and leakage among these processes is also performed.

文中详细分析了压缩机的工作过程，分别建立了描述压缩机吸气腔，工作腔和排气腔内介质状态参数的数学模型；建立了传热量和泄漏量计算模型，对压缩机各腔进行了传热和泄漏分析。

Related modules in the toolbox of MATLAB/Simulink are adopted. The nonlinear mathematic model for SRM is obtained by adding the flux linkage functionψ into the parameter table of the motor module.

应用MATLAB／Simulink中的SRD模块，将ANSYS计算出的磁链函数ψ输入模块得到开关磁阻电动机样机的非线性仿真模型。

In order to realize nano feeding under large feeding force, according to the research existing state of nano feeding device all over the world and development tendency of this technical in developed country, a nano precision feeding scheme based on thermal deformation is presented, the mathematic modal of nano drive parts based on metal thermal deformation is established and stepped exponential fitting method is presented which can determine the parameters of modal.

为了在较大的进给力下实现纳米级进给，根据国内外纳米级进给机构的现状及国外工业发达国家该技术发展趋势，本文提出一种基于热变形的纳米级进给控制方案，建立了基于金属变形体热变形的纳米级进给部件的数学模型，并提出了确定模型参数的方法——分段指数拟合方法。

At last, the software for upper machine and lower machine is introduced.Chapter 3, on the basis of the experiment on the nano feeding control platform, the mathematic modal of drive parts is established considering that the nano feeding under large feeding force has some open air temperature random disturbance phenomenon which influences the feed precision.

第三章，首先对建立数学模型的分步拟合方法进行了介绍，接着，在实验的基础上，通过拟合的方法得出纳米级热驱动部件输入功率与输出位移的数学传递函数以及外界温度干扰与输出位移的数学传递函数，最后建立了干扰情况下的纳米级热驱动部件数学模型。

Furthermore the author establishes mathematic models of frequency histogram method ,fuzzy classification method , fuzzy Synthesized evaluation method and grey classification method on the base of former researches.Secondly, the article analyses the related knowledge of GIS component technology, which includes the progress of GIS, component object model,distributed component model, the ComGIS product MapX and hierarchical models of MapX.

包括地理信息系统的发展、组件对象模型，分布式组件对象模型、ComGIS产品MapX和MapX的层状模型结构等，还对MapX提供的主要对象及对象集进行了分析。

The mathematic model of the PMSM was established and the factor of friction was considered.

首先建立了PMSM的数学模型，同时考虑了摩擦对于系统的影响。

Through the analysis of the work principle of three phases voltage resource PWM converter, set up the low and high mathematic models, deduce the restriction equations about grid voltage, grid current, modulation voltage and the DC output voltage and the calculation equations of the AC-side inductance and the DC-side capacitance. There are two control strategies are adopted: Predicted current control strategy and voltage-current two closed-loop control strategy, and give a comparison by theory and practice.

通过分析三相电压源型PWM变换器的工作原理，分别分析了低频和高频数学模型，并推导出了交流侧电压电流、调制电压、直流侧电压之间的数学约束关系以及交流侧电感和直流支撑电容参数的选取依据公式；分析对比了两种控制策略：预测电流控制和电压电流双闭环控制并加以实验验证；同时采用了负载电流前馈补偿和本文提出的一种基于专家系统的神经元新型智能PI控制器两种方法大大提高了整个系统的动态响应性能，并在仿真和实验中加以验证，这也是本文研究的重点内容之一。

In order to evaluate measuring uncertainty of tensile testing result of metallic material, the mathematic model of calculating uncertainty is established and different factors of influencing testing result are determined taking rectangle head shorter proportional sample of 18mm Q235B plate as example.

为评定金属材料拉伸试验的结果测量不确定度，以轧制厚度为 18mm的Q2 3 5B板材矩形带头短比例试样为例，建立了不确定度计算的数学模型，确定了影响试验结果的下屈服力FSL、最大力Fm、试样原始厚度a及试样原始宽度b等各项因素，计算出了各种因素的标准不确定度，得出拉伸试验结果的扩展不确定度，并给出最终测量结果的表达式：下屈服强度ReL、抗拉强度Rm的最终测量结果分别为(3 0 5± 5 )MPa和(4 3 5± 10 )MPa。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。