曲率线

An adaptive grid scheme controlling cell area is used to generated grids in the divergent section of symmetric annular nozzle, and the generated grids are used in the flowfield calculation through the uncoupled way. The elliptic equations are used to generate grids in three dimensional regions of FDN divergent section, the source terms used in the equations employ a mathematical form which is independent of the boundary shape and of the boundary grid point distribution, the free parameters contained in the source terms are determined by the two restraint conditions, the intersection angle of transverse grid lines with boundaries and the local curvature of the transverse grid lines at the boundaries, and the interior grid distribution controlled directly by the grid point distribution assigned on the boundaries is realized, it makes the grid more clustering near the nozzle wall. For the generated grids in the whole computational regions have a good smoothness and orthogonality, the accuracy of calculation in the flowfield is ensured.

对轴对称的环形喷管采用控制网格面积的自适应网格方法对扩散段部分进行了网格生成，并通过非耦合方式应用于喷管的流场计算中；对强制偏流喷管扩散段内的三维区域采用椭圆型方程进行网格生成，方程中的源项采用了与边界形状和边界网格点分布无关的数学形式，源项内的自由参数由横向网格线与边界的交角及横向网格线在边界处的局部曲率两个约束条件来确定，实现了由边界上的网格分布直接控制内部的网格点，使壁面附近具有较密集的网格，并且在整个计算区域内的网格都具有良好的光滑性和正交性，从而保证了流场计算的准确性。

Curve C at the spot P(x0, y0) curvature is the maximal circle of the curve C tangency at the spot P(x0, y0). Contrail curve G of the center D of curvature circle entitles evolute of curve C.

曲线C在点Px0，y0）曲率圆是与该曲线C相切于点P(x0，y0的最大圆，曲率圆的圆心D的轨迹曲线G称为曲线C的渐屈线。

The hybrid gel film on curved surface can replace traditional light-sensitive lacquer, and improve the grating's stability. The VLSG with the line density of 80l/mm was fabricated on a concave lens surface with curved radius of 100mm.

采用这种方法在曲率半径为100mm的凹球面基底上制作了平均线密度为80l/mm的光栅，并用环境扫描电镜以及数字图像处理法检测了光栅的线密度分布。

Paired Samples T test revealed that both the LT and VL decreased (P.01), the AD increased (P.01) after cycloplegia regardless of their refractive state. The AL increased for hyperopic eyes (P.05) and decreased for myopic eyes (P.01) after cycloplegia. For hyperopic eyes, the major keratometer K1 increased (P.05) while for myopic eyes, the major keratometer K1(P.05) and minor keratometer K2 (P.01) decreased after cycloplegia. The mean corneal power of zones 5 mm (MD5) and 7 mm (MD7) decreased with myopic eyes decreased dramatically (P.01). The mean refractive power of the lower half vertical meridian is greater than that of upper half; and the mean refractive power of the lateral half of the horizontal is greater than that of the medial half.

结果：不论远视眼、正视眼还是近视眼在睫状肌麻痹后前房加深（P.01），晶状体变薄（P.01），玻璃体腔径缩短（P.01）；但远视眼睫状肌麻痹后眼轴增长（P.05），近视眼眼轴缩短（P.01）；远视眼睫状肌麻痹后角膜曲率K1增加（P.05），近视眼睫状肌麻痹后除K1降低外（P.05），K2以及以角膜中心点为中心，直径为5mm、7mm的环平均角膜屈光度（MD5、MD7）均降低（P.01）；此外，垂直径线上方的平均角膜屈光度小于下方的平均角膜屈光度而水平径线鼻侧的平均角膜屈光度小于颞侧的平均角膜屈光度（P.01）。

We decompose curvature signal with wavelet at first and then extract itslow frequency coefficients as new smooth curvature signal, which is used to constructa G~2 continuous piecewise rational cubic Bezier curve with GHI method subsequently.

本文首先对估算得到的离散曲率进行小波分解，提取其低频部分作为新的曲率，然后利用几何Hermite插值方法，重建出光顺的截面线。

We decompose curvature signal with wavelet at first and then use its low frequency coefficients as new smooth curvature signal, which is used to construct a G^2 continuous piecewise rational cubic Bezier curve with (Geometric Hermite Interpolation, GHI) GHI method subsequently.

针对在逆向工程的实践中常见的轮廓线的光顺问题，给出了一种先对曲率图进行小波分解，提取其低频部分作为新的曲率图，并利用几何Hermite插值方法，生成G^2连续的分段三次有理Bézier曲线，从而重建出光顺的产品轮廓曲线的新方法。

But for curved wire ropes, it only utilized depredating helices to derive the curvature components and curvature increment expression method in curved wire ropes in the past. It is incomplete for force-deformation or force-strain relative.

但就曲线型钢索而言，过去仅止於利用退化螺旋线，推导圆弧型钢索中钢绞线之曲率以及曲率增量表示法，对於受力与变形或应变关系之描述不够完整。

Utilizing the extremum theory of function to obtain the minimum radius of curvature of theoretical profile, and factors that affecting the minimum radius of curvature were discussed, thus provided theoretical basis for the studies of the continuous contact transmission of swinging movable teethed central gear meshing pair, contact stress and meshing stiffness etc..

利用函数极值理论得到理论廓线的最小曲率半径，讨论了最小曲率半径的影响因素。为摆动活齿中心轮啮合副的连续接触传动、接触应力和啮合刚度等的研究提供了理论基础。

The estimation of forming part"s sideline The estimation of forming part"s sideline is significant in weld and assembly process, the paper puts forth two kinds of method to realize quantitative analysis for the deformed sideline, one is using line contour error to estimate deformed sideline combined with GA and taking the value of line contour error as target to check whether it is in the range of precision; The other is comparing curvature and torsion of design model with curvature and torsion of deformed model to check the sidelines precision.

冲压件边线变形的评价。冲压件的边线变形的评价在焊装工艺中有着重要意义，本文提出两种方法来实现冲压件边线的变形评价：一是借鉴线轮廓度评定的方法，结合遗传算法计算出边线的线轮廓度，并以线轮廓度值作为边线是否满足要求的评价指标：二是通过比较变形前后曲线的曲率和挠率来评价边线的变形情况。

Based on the analysis, made qualitative calculation of the various curvatures of the straightening process applying elastoplastic bending theory. The method of determining curvature of the inverted bending curvature of the axis of being straightened pipe is put forward with which straightening quality is guaranteed in the first place and solved the key problem that have not been solved for a long time. All of these provided theorial basis for the design of bending pipe straightening roller. and setting down of adjusting rule.

在此基础上，运用弹塑性弯曲矫正理论对管材矫正过程中的多次弹塑性弯曲矫正的各曲率进行了定量计算，在保证矫正质量的基础上，对管轴反弯曲线曲率的确定进行了研究，解决了弯管辊形设计中久未解决的最为关键的问题，为弯管辊形矫正辊的合理设计和矫正规程的制定提供了理论基础。

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。