The fields at any point , especially at the points in the middle field region , are reconstructed by using the theory of the plane wave and the inverse fast fourier transform in this thesis 论文根据平面波谱的展开理论和傅立叶反变换首次给出了在空间任意点，特别是中场区，的场分布。
Pneumatic servo position technology can realize automatic orientation when cylinder moves in high velocity . pneumatic mechanical hand is developed too and is beyond traditional methods 气动伺服定位技术已能使气缸在高速运动下实现任意点自动定位，而气动机械手也相应得到发展，突破传统的定位方法。
Test results show the proposed method is simple and effective , and in particular it can terminate encoding / decoding at any point and still produce a signal close to the original one 仿真结果表明该算法对电力系统故障数据的压缩十分有效，并且实现简单，在任意点中断编解码不会影响算法重构出基本波形。
Abstract : the paper analyzed the properties of concentric curve , theprinciple and method of setting out stakes of middle - line & sidings on one random station and closed with main points 文摘:分析了同心曲线的性质，提出了可在任意点设站测设同心曲线的原理及放样同心曲线的中线、侧线各桩并闭合于各自主点的方法
Hence , the problems concerning the expression of position vector in the global coordinate system and the local coordinate system , and the numerical area integration by the natural coordinates were solved thoroughly 这样，完善地解决了单元中任意点在整体坐标与局部坐标的表示问题和基于局部自然坐标的面积分和体积分的数值积分的依据问题。
The results indicate that start and end segment of interpolation curve are changed with different boundary conditions . interpolation and approximation of arbitrary data points and ship hull surface modeling based on nurbs is implemented 研究了nurbs的曲线与曲面的正算、反算算法及其边界条件的确定方法，实现了任意点列的nurbs插值与逼近及船体曲面造型。
The information along 3d maximum shear stress tracing line is completely ascertained with the method of parameter transformation , then the changing rule of the normal stress along 3d maximum shear stress tracing line is discussed based on cobevel method 摘要利用坐标变换法证明了一般三维塑性流动问题任意点应力状态，可以完全由三维最大剪应力迹线上的信息确定，进而利用共斜面法给出了三维塑性流动问题沿最大剪应力迹线正应力的变化规律。
Abstract : the information along 3d maximum shear stress tracing line is completely ascertained with the method of parameter transformation , then the changing rule of the normal stress along 3d maximum shear stress tracing line is discussed based on cobevel method 文摘:利用坐标变换法证明了一般三维塑性流动问题任意点应力状态，可以完全由三维最大剪应力迹线上的信息确定，进而利用共斜面法给出了三维塑性流动问题沿最大剪应力迹线正应力的变化规律。
Secondly , the problem of the curve - surface mutual transforming and smooth - finishing have been analyzed farther . for the surface intersecting problem : owing to the introduction of the boundary points , as long as the intersecting points on a certain line , the full intersecting line can be gained . the intersecting line either intersects at the boundary of the triangle surface or forms the loop ; during the course of tracking , the selecting of the pace is restricted by the curvature , the number of the gained intersecting points are not in proportion as the chord - length ; the intersecting points not only record the coordinate and store the parameter 对两曲面求交问题，当曲面细化足够小时，曲面求交可近似看成曲面与平面相交问题，引进了边界点的概念，因此只要知道交线上的任意点，就可以将跨越许多曲面片的整条交线计算出来，所求出的交线或者跨越曲面的边界，或者形成交线环；从初始点出发跟踪求解整条交线的过程中，步长的选择采用了通过曲面片曲率来约束的方法，用该方法求出的交点在不同曲面片上的分布数目不与弦长成正比；该求交方法包含了各曲面片的边界线与交线的交点的求解，可获得边界交点的坐标值及其参数值。
