坐标变换

A relativistic transformation of generalized coordinates is discussed and it is found that the first law of thermodynamics and the equation of state of an ideal gas are invariant with respect to the relativistic transformation of generalized coordinates , so that the existence of relativistic transformation of generalized coordinates is reasonable.

讨论了一个涉及热力学的广义坐标的相对论变换，发现热力学第一定律和理想气体状态方程对广义坐标的相对论变换具有不变性，表明广义坐标的相对论变换有其存在的理由

For reducing boundary distortion area, the elevations of grid DEM are viewed as a discrete sequence under a generalized coordinate, so that the boundary problem of two-dimensional discrete wavelet transform is turned into the boundary problem of one-dimensional discrete wavelet transform, which not only greatly reduces the boundary distortion area, improves the precision of reconstructed DEM data near the boundary, but also decreases the number of zeros adding on the boundary for wavelet transform, and boosts the compression ratio. On the basis of analyzing the distribution characteristics of coefficients in low and high frequency bands, a mixed entropy coding plan is applied, and a high efficient quantizator called"self-adaptive hard threshold"is established, which is helpful for improving the precision of the reconstructed DEM data and for enhancing compression ratio.

为了减小小波变换山区格网DEM数据压缩中边界失真区域，将山区格网DEM高程值视为广义坐标下的离散随机序列，把二维离散小波变换中的边界问题转换为一维离散小波变换中的边界问题，不仅大大减少了小波变换边界失真区域，提高了重构DEM数据边界点的精度，而且减少了边界补零个数，提高了压缩比；通过对山区格网DEM数据小波变换低频区和高频区变换系数分布特点的分析，采取了霍夫曼—游程混合熵编码方案，设计了高效、低失真的"自适应硬阈值"量化器，即对低频区变换系数不进行量化，直接进行霍夫曼编码；对高频区变换系数则先用"自适应硬阈值"方法量化处理，再进行游程编码。

Based on analyzing the separation detection conditions of imperfect superposition holes and the measurability of ballistic coordinates,the method of automatic measurement was presented on the basis of distance conversion,which is a successful application of distance conversion and watershed.

在分析了不完全重合弹孔的可分离检测条件、弹道坐标可测性的基础上，提出了基于距离变换的弹道坐标自动测量方法，是距离变换分水岭方法的一种成功应用。

A fault calculation method to determine faults with the conversion matrices in phase coordinates, to determine multiple faults with equal time and elements with unsymmetrical parameters is developed with the sequence network decoupled from symmetrical components coordinates.

利用对称分量变换将相分量坐标下的故障处理方法和计算公式转换到对称分量坐标下，提出了完全使用对称分量坐标系的多态对称分量法。并利用反映网络等效变换的方程降阶方法进一步提高计算效率。

By the use of Circling cluster and Envlopment theory and flat surface sit-mark transformation theory, the chain wheel tooth equation of roller chain at high speed to match conjugage engagement is deduced.Establishing chain speed equation of roller chain at high speed,based on the analysis of the speed curves between roller chain at high speed and common roller chain,good drive of roller chain at high speed is verificated theoretically.By a example that move distance from transverse vibration between roller chain at high speed and common roller chain is contrasted,the accuracy of those theories that the paper brings up and higher functions of roller chain at high speed is proved.Finally, Establishing conjugage engagement line equation of roller chain at high speed and analyzing the complete engagement zone, the chain wheel tooth curve equation is studied at a higher degree. At the same time,the lack's place of the research result is pointed out.

依据高速滚子链设计要求与H_y-V_0齿形链的研究，阐述了滚子链传动实现准共轭啮合理论可能性；利用圆族包络法结合平面坐标变换理论推导出了满足共轭啮合的高速滚子链的链轮齿廓曲线；建立起高速滚子链链速方程，通过对高速滚子链与普通滚子链链速曲线的对比分析，从理论上验证了高速滚子链具有良好的传动性能；最后，建立起高速滚子链共轭啮合线方程，对其整个啮合区间进行了分析，进一步研究了链轮齿廓曲线方程，确定了主要参数的设计方法的问题，并同时指出了不足之处。

The paper discusses the position relationship between the litter circles of torus and the section circle of sphere figured out the intersection of torus and sphere when the central axis of torus and sphere center in XOZ coordinate plane through coordinate transformation.

利用坐标变换使圆环中心轴与球心同在XOZ平面内，讨论了在该平面内圆环截圆与球圆的位置不相交、相切和相交时圆环面和球面的相交情况，并给出了判别圆环面、球面相交情况的流程图以及圆环面和球面相交实例。

A algorithm for using the minimum zone to evaluate the space linearity error based on the principle of coordinate transformation is introduced,and the mathematical model and calculation example are given in this paper.

介绍了一种用基于坐标变换原理的最小区域法评定空间直线度误差的算法，并且给出了数学模型和计算实例。

The iterativemethod and the method of averaging are combined with the method of coordi-nate transformation in this respect,and periodic and quasi-periodic solutionsof parametrically excited systems can be obtained rapidly and effectively.

这种方法将坐标变换法、迭代法及谐波平衡法相结合，可以有效迅速地求解周期参数激励系统的周期解和概周期解，并可以判断周期解的稳定性。

The complex exponential form of threedimensional vectors, is put forward.

目前，对空间机构进行运动分析的最常用的方法是坐标变换矩阵法。

On the basis of propulsive model,a mathematical model which is used to describe the motion of pitching and heaving of dolphin's caudal fin by ways of coordinate transformation is deduced.Meanwhile,this model can show the relationship between the motion of caudal fin and parameters related,then the motion of caudal fin of dolphin is simulated by the software of Matlab which showed the swimming principle.

以海豚背腹式摆动推进方程为基础，应用坐标变换的方法，建立了描述海豚尾鳍俯仰－沉浮运动的数学模型，同时建立了描述豚尾各运动参数之间关系的方程，随后运用Matlab的仿真功能再现了海豚在游动过程中尾鳍的运动规律。

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。