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Introduced formal notations of derivative which keep the properties of derivative and their operations are easily realized on computer,A mechanization proving principle of automatic reasoning of transformations between differential equations is built.

引进保持性质的导数的形式记号，建立了微分方程变量间依赖关系的自动推理的机械化证明原理，从而方程间的变换（如Backlund变换等）均可机械地验证。

When a sage who is a Brahmana has realized the truth by silent concentration, then he becomes free form and formlessness, happiness and suffering.

当时一个婆罗门时认识到了沉默冥想的真理。接着他从色界和无色界解脱出来了，幸福和痛苦。

Mo: Frankly, if he still keeps his inherent wisdom and conscience, I may not bridle him even if I'll train myself for another several hundred years. However, after I'd met him, I realized that he voluntarily forswear these two most powerful weapons of him!

莫：说实话，如果他还保有他们一族天性的智慧和善良，我就算再修练数百年，只怕也没机会控制他，可后来我才知道，他为保童氏一族，自愿舍弃了他这两样最大的武器！

Then he realized how vast and how strong are the fortifications that surround the present system.

因为这时他认识到现行制度的堡垒是多么强大、多么坚固。

Fortunately, more and more people have realized these problems.

幸运的是，越来越多的人已经意识到这些问题。

It was only when I saw the photos that I realized I looked like a meddlesome gypsy fortune-teller.

直到看见照片，我才意识到自己看上去就像一个擅自闯入的吉普赛算命人。

According to actual condition, a model of wall thickness of rotary kiln is established. The constant coefficients in the model, including thermal conductivity, heat transfer coefficient, Fourier coefficient and contact resistance, are closely calculated. A formula of contact resistance is draw from a great deal of data of surface and inner temperature of rotary kiln. The wall thickness of rotary kiln is simulated by MATLAB. The simulation result is transmitted from MATLAB to DELPHI through a group of interface functions compiled by VC++. The basic graphs-circle and line are analyzed by the means of the technique of Visualization in Scientific Computing and the Bresenham arithmetic, and are realized the visualization of the wall thickness. The contents of communication between master computer and slaver computer are designed and the error control technique, the idea of multi-thread and the embedded assembly language are applied to realize the temperature data transmission and graph transmission, which largely improved the speed of transmission and the reliability and stability of system.

建立了符合现场实际的回转窑壁厚数学模型；结合现场采用红外测温仪测量所得的温度数据和回转窑的实际结构数据，确定出适合该模型的定常系数(包括导热系数、换热系数、傅立叶系数、接触热阻等)，并得出与回转窑工况的相近的接触热阻公式ln=T~(0.5154)-36.7868；利用MATLAB软件仿真出回转窑壁厚，并将运算结果通过在VC++的编译环境下编译出MATLAB和DELPHI的接口函数传输到该监测系统中，实现了温度数据的转换和交换；运用科学计算可视化技术和Bresenham扫描转换算法对基本图形——圆和直线进行分析，从而实现了仿真后的壁厚数据可视化；在研究异步串行通信方式的基础上，设计了该系统上下位机功能和通信内容，并运用差错控制技术、多线程思想以及嵌入式汇编语言实现了温度数据和图形数据在上下位机之间的远程传输，提高了数据传输的速率和系统的可靠性、稳定性。

Since this method,which is only the expansion of the Fourier transform,can be easily realized,it can achieve the realprocess effect in the vehiclecarried system.The simulation experiments show the validity of the proposed method.

由于该方法实现简单，仅为现有傅里叶变换的扩展，在车载系统中将会获得实时处理的效果，文末的仿真实验验证了该方法的有效性和实用性。

Having considered the effect of wave number setting on the numerical calculation result, the cubic spline interpolation method has been used to infill data in the wave number domain. An inverse Fourier transform realized by Gaussian integral method converts the K domain solutions to electromagnetic fields in real space.

针对波数域中波数取值对模拟结果的影响，采用三次样条插值加密波数域数据，用高斯积分实现Fourier逆变换将波数域解变换为空间域电磁场。

The formalized description of MSaga model is presented in this dissertation. The FRACAS workflow based on J2EE platform is implemented. The architecture of MSaga transaction model and its detailed design are realized. The reliability and stability of FRACAS are improved and so FRACAS has the ability of handling exception.

本文给出了MSaga模型的形式化描述，并且完成了基于J2EE平台的FRACAS系统，MSaga事务模块的体系结构和具体设计与实现，提高了FRACAS软件的可靠性和健壮性，使得FRACAS软件具备一定的异常处理能力。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。