光滑的

At the same time, the mix fixed point method and the nonsmooth Newton method for finite element method are also presentedBased on the Gauss point method for seepage problem with free surface, the non-smooth equations model for seepage problem is proposed as well as the mix fixed point method which belongs to the fixed mesh method.

本文根据近些年来求解可动边界的经验和非光滑分析的发展，建立了求解渗流自由面的数学模型，提出了求解渗流自由面的有限元混合不动点法和非光滑牛顿法。

It was demonstrated that cuticles of some animals such as dung beetle and ground beetle, display the varied non-smooth or textured morphologies, For examples, the convex domes, dimpled or scaly form morphologies.

设计并制备了七种分布的凸包型非光滑表面，在JFY50型热压机上通过热压成型的方法制备了轻质碳酸钙填充酚醛树脂基复合材料凸包结构，并通过粘接方法将凸包固定在45钢底板上，制备了凸包型仿生非光滑表面试样。

For linear complementarity problems , a new smooth merit function is constructed, the linearity of LCP is well preserved as the piecewise quadratic convex property of it. By using the merit function a new Lagrangian multiplier method is proposed.

对线性互补问题，首次得到一种乘子固定时具有分片二次凸性质的光滑价值函数，它在光滑条件下完好保持了原问题的线性性质，基此提出了Lagrange乘子法。

In general L_p spaces,one can characterize the smoothness of refinement function with Lipschitz space. In particular, one can characterize the smoothness of refinement function in Sobolev spaces.

对于一般的L_p空间，在细分方程收敛的前提下，对细分函数光滑性的刻画用一般的Lipschitz空间即可；特别地，当p=2时，可以在Sobolev空间中去刻画其光滑性。

Test results showed that the bionic nonsmooth structures on the tail of the models can obviously reduce the drag due to the pressure drop, especially for the model riblet nonsmooth form, its pressure drag was reduced by 25.3%, and its total drag was reduced by 11.12%.

试验结果表明，布置在尾部的非光滑结构能够有效地降低模型的压差阻力，尤其是棱纹状非光滑形态模型，压差阻力降低了25.3%，总阻力降低了11.12%。

During building 2D model, I use the concepts of point, segment, line and plane, the segment can be formed from points, then line can be formed from segments, the closed curved plane can be obtained by around lines, and finally the 2D model can be built by closed curved plane; I express the un-smooth stratum or fault by linear fitting and express the smooth stratum or default by cubic spline fitting segmentally, in this way I can describe the variation feature of 2D interface properly.

在二维建模中，引用点、段、线、面的概念，即由点形成段，由段形成线，由线围成封闭面，封闭面构建成二维模型；对表示二维地层和断层的界面线，用线性拟合表示非光滑性地层或断层面，用分段三次样条拟合表示光滑性地层或断层面，恰当地表达了二维界面的变化特点。

We first introducesome results about Clark's generalized gradients, subdifferential andsaddle functional.

在第五章，我们利用非光滑分析的理论将第四章的minimax神经网络推广到了非光滑情形。

For different surface roughness of electrodes and glycol concentration of glycol/water mixture, pressurized water breakdown experiments are carried out. Experimental results suggest that Mirza's formula is valid and independent of surface roughness and glycol concentration, and it is accumulative for surface polish, glycol additive, and pressurization for the capability to improve electrical breakdown strength. Moreover, the increase of electrical breakdown strength of water dielectric for surface polish is explained with bubble breakdown. Especially, highest stress of 235.5kV/cm observed in glycol/water mixture with a glycol concentration of 80% at a hydrostatic pressure of 12atm is about one time greater than that in pure water at constant pressure.

通过改变电极表面光滑程度和乙二醇浓度，分别进行了加压水介质击穿实验，证实了不同电极表面光滑程度和乙二醇浓度下Mirza关系式仍成立，抛光电极表面、添加乙二醇与加压在提高水介质电击穿能力方面具有可叠加性，将抛光电极表面、添加乙二醇与加压分别进行了比较，特别，在静压12atm、乙二醇浓度80%下，得到实测最高击穿场强为235.5kV/cm，其有效时间归一化后的击穿场强比常压下纯水的相应值提高了112.2%，运用气泡击穿模型对抛光提高水介质击穿场强进行了物理解释。

This paper is devoted to the study of a control problem associated to a nonlinear second order vector differential equation with pointwise state constraints.

本文主要研究一类具有状态约束的由向量微分方程所支配的光滑和非光滑利普希茨控制问题。

The unsmoothed characteristics of living beings in soil are applied to the bionic design on wear resistant composite.

把土壤动物体表的非光滑特征应用于耐磨复合层的仿生设计中，制备出仿生非光滑复合层。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。