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The computer simulation software was developed for figuring the path curves and instantaneous speed of the lapping process.

文中从运动学和几何学原理出发，建立了工件精密研磨过程的轨迹方程，通过将复杂的研磨运动简化为在中心距一定条件下夹具绕研磨盘中心轴的回转运动及夹具自身的回转运动，对工件上任意点相对于研磨盘的运动轨迹及瞬时速度进行了分析计算，并开发了相应的计算机仿真软件，对其运动轨迹曲线及瞬时速度进行了分析。

In particular,many integrable equations arise naturally from motions of curves and surfaces.

特别地，许多可积方程都自然地产生于曲线和曲面运动。

By fitting of experimental data of concrete beams with 2-D composite cracks based on the fictitious crack model, mathematical expressions for parameters α and β in the 2-D composite inteneration equations for Ⅰ-Ⅱ,Ⅰ-Ⅲ, and Ⅱ-Ⅲ composite cracks are obtained, and based on the expressions, 2-D composite inteneration curves under different proportions of two stress intensity factors, that is under different weights, at the ends of 2-D composite cracks can be directly derived.

作者中文名：邵勇；王向东摘要：基于虚拟裂缝模型，通过对混凝土二维复合型裂缝梁试验数据的拟合，得到了ⅠⅡ，ⅠⅢ，ⅡⅢ3种二维复合型软化方程中参数α，β的数学表达式。据此表达式可直接求得二维复合型缝端2个应力强度因子之任意比值下混凝土二维复合型的软化曲线。

The calculation of the amount of the tilt is based on the change of the interior angle of a triangle which formed from the connections of the three apexes of the three curves.

结果：在对15个受测眼(无任何眼疾，视力为-3D – 0D)的实验结果显示：在调视前、后，水晶体确实出现了有平移和倾斜的现象，进而造成了视角在垂直方向的改变。

The same operations are performed iteratively until the smallest interior angle in all the curves is larger than the given threshold value.

该算法首先找到笔画的拐点(最小内角值小于指定阈值)，然后分别寻找拐点两侧曲线段上的拐点，反复执行，直到再也找不到拐点为止。

Using our equation of state, we treated some P~t curves of high pressures and gave valuable results for interior ballistics calculations and high pressure propellant charge design.

利用状态方程处理了高压下的一些P~t曲线，其结果对于高压火炮内弹道计算及高压火炮装药设计具有指导意义。

SEM result showed that the sample had uniform phase distribution and smooth surface at dried state as well as interpenetrate network structure at hydrogel state. It was seen from the swell ing behavior curves that groups T1, T2 and T3 swelled rapidly within 10-30 minutes, and formed elastic composite hydrogel pipes. In addition, the expanding ratio of inner and outer diameter of the tube was 20%-30% and 100%-120% with swell ing, respectively. The equil ibrium water content of the hydrogel pipes increased with increase of collagen composition. Three groups of samples were immerged in PBS solution contained 2 mg/mL lysozyme at 37 for 1 month, their nozzle cracked, their wall became thin and more transparent. And also, there was small floc deposited on the tube surface.

扫描电镜观察到液氮脆断的人工泪小管内部成分分布均匀，内外壁表面平整，冷冻干燥的人工泪小管断口呈凝胶态的互穿网络结构。3 组不同成分的人工泪小管在PBS 溶液中浸泡30 min 后均快速吸水溶胀，外径扩大100%～ 120%，内径扩大20%～ 30%，并且随胶原含量增高，溶胀速度增快，平衡溶胀率增大。3 组人工泪小管在37℃含2 mg/mL 溶菌酶的PBS 液中浸泡1 个月后，表面有部分细小絮状物，管口开裂，管壁变薄，透明度增加。

It is an essential tool and purpose in surface modeling to interpolate the given curves.

插值已知曲线是曲面造型中的一个重要追求目标或手段。

In this paper an efficient method that can interpolate cubic NURBS curves is proposed for generating the subdivision surfaces.

鉴于此，提出了一种高效的可以插值三次NURBS曲线的细分曲面生成方法。

The method proposed in this paper will interpolate intersecting curves in the given mesh.

运用该方法可在三角网格生成的细分曲面中插值多达六条的相交曲线。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。