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The results of simulation avoid distortion and intertwist in the conventional gri d arithmetic and consistent with the theory analysis, which validate the rationality of the simulated model and arithmet ic using the SPH method in the explosion field.

仿真结果有效避免了传统网格算法具有的扭曲和缠绕，并且与理论计算非常吻合，验证了该算法在爆轰领域应用的正确性和可行性。

This paper introduces how to use PLC realize PID automation control system in constant liquid level system of waterworks though a instance project. It adjusts liquid level by control the valve though PID arithmetic and deals with outside program, makes the liquid level constant at the expectation value. The adjusting time is the same as manual control, but the water quality is better. Its advantages are reaction rapidness, auto-control disengage intervenor, quick protection of fault, more safety and stabili...

本文以一工程实例介绍了如何用PLC在水厂的滤池实现PID恒水位控制，它通过PID算法和外围的程序处理，通过控制阀门开度来调节水位，使水位基本恒定在期望值，并且阀门调节次数基本与手动调节一样，但水质却明显好很多，更重要的是对现场适应能力强，反应快，而且完全脱离人为干预进行全自动控制，对故障也有快速保护，更具安全稳定性。

This paper introduces how to use PLC realize PID automation control system in constant liquid level system of waterworks though a instance project. It adjusts liquid level by control the valve though PID arithmetic and deals with outside program, makes the liquid level constant at the expectation value. The adjusting time is the same as manual control, but the water quality is better. Its advantages are reaction rapidness, auto-control disengage intervenor, quick protection of fault, more safety and stabilization.

本文以一工程实例介绍了如何用PLC在水厂的滤池实现PID恒水位控制，它通过PID算法和外围的程序处理，通过控制阀门开度来调节水位，使水位基本恒定在期望值，并且阀门调节次数基本与手动调节一样，但水质却明显好很多，更重要的是对现场适应能力强，反应快，而且完全脱离人为干预进行全自动控制，对故障也有快速保护，更具安全稳定性。

Based on the foregoing strategy, we choose Inverse Modified Discrete Cosine Transform and Polyphase Synthesis Filterband of the MP3 decoder by an ASIC implementation. Moreover, to further reduce the hardware cost, we use CORDIC-based calculations and merging some arithmetic operations to replace the original ones of IMDCT and PSF.

基於前述的原则及由运算量的统计分析，我们选定「反转修正式离散余弦转换(Inverse Modified Discrete Cosine Transform， IMDCT)」与「多相位合成滤波频带(Polyphase Synthesis Filterband， PSF)」使用ASIC方式实现，同时为了有效降低这两个模组的硬体成本，我们导入「座标轴旋转数位计算机」及合并运算方式取代原始算术运算，使得新的计算式有效降低原IMDCT约74%之乘法及约49%加法运算，而在多相位合成滤波频带的反离散余弦转换也有降低约33.4%之乘法及约24.6%之加法运算。

And based on the perspective mapping, we have got the arithmetic of inverse perspective mapping, which realizes getting the depth of the object through the single camera.

根据摄像机透视映射原理，进行逆换算从而得到逆透视映射，从而实现了利用单摄像机获取环境深度信息，简化了系统的结构，有效的实现了自主避碰导航。

Function graphing and analyzing: 2D, 2.5D functiongraphs and animations, extrema, root, tangent, limit,derivative, integral, inverse; sequence of number: arithmetic progression, geometric progression; analytic geometry: vector, line, circle, ellipse,hyperbola and parabola; solid geometry: spatial line, prism, pyramid, cylinder, cone, dado and sphere; Ability to save graph as data file or bmp file; Ability to save animation as AVI file; Ability to move, zoom in, zoom out and rotate the scene.

函数图表和分析：2D， 2.5D 函数图表和动画，极值，根，正切，极限，导数；序列号：等差数列，等比级数；解析几何：向量，矢量，直线，圆，椭圆，双曲线和抛物线；立体几何：空间线，棱柱，三角锥，圆柱，圆锥体，梯形台和球体；保存图形为数据文件或者图像文件的功能；保存动画为 AVI 文件的功能；移动，缩小，放大和旋转场景的功能。

The third part of our work is for the inversion problem of ring current ions. Weexplore a new technique and arithmetic to inverse the ring current ions distribution.

在第三部分的研究中，我们开发了新的反演技术和算法来反演环电流的分布。

Thereinto ,it the connection of foreground application and background data-base is the nodus of the exploitation;it arithmetic of invigilator dispatchment is the point of the system exploitation.

其中，前台应用程序和后台数据库的连接是开发的难点，监考员分派的算法是系统开发的关键部分。

A small expression calculation tools, to be completed by the arithmetic operations such as involution.

一个小的表达式计算工具，可完成加减乘除乘方等运算。

And discussed with more than division, irreducible polynomial discriminant method of application of Eisenstein; and detailed description of the number of polynomials, the same polynomial, polynomial arithmetic.

并论述了带余除法、不可约多项式艾森斯坦判别法的应用；并详细说明了多项式的次数，多项式的相等，多项式的运算。

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。