摘要：In detailed aerodynamic design optimization,a large number of design variables in geometry parameterization are required to provide sufficient flexibility and obtain the potential optimum ***,with the increasing number of design variables,it becomes difficult to maintain the smoothness on the surface which consequently makes the optimization process progressively *** this paper,smoothing methods based on B-spline functions are studied to improve the smoothness and design *** wavelet smoothing method and the least square smoothing method are developed through coordinate transformation in a linear space constructed by B-spline basis *** these two methods,smoothing is achieved by a mapping from the linear space to itself such that the design space remains unchanged.A design example is presented where aerodynamic optimization of a supercritical airfoil is conducted with smoothing methods included in the optimization *** results from the design example confirm that these two smoothing methods can greatly improve quality and efficiency compared with the existing conventional non-smoothing method.

摘要：Let M be a convex Chebyshev subset of a uniformly convex and uniformly smooth Banach *** is proved that the metric projection P_M of X onto M is uniformly continu- ous on every bounded subset of ***,a global and explicit estimate on the modulus of continuity of the metric projection is obtained.

摘要：A generalized non-stationary curve subdivision （GNS for short） scheme of arbitrary order k≥3 with a parameter has been proposed by Fang et al. in the paper （Fang Mei-e et al., CAGD, 2010（27）： 720-733）. It has been proved that the proposed scheme of order k generates C^k-2 continuous curves for k≥4. But the proof of the smoothness in this paper is uncompleted. Moreover, the Cl-continuity of the third order scheme has not been discussed. For this reason, in this paper, we provide a full corrected proof of the smoothness of the GNS scheme of order k for k≥3.

摘要：扎哈有一套令人印象深刻的设计语言,而且她成功地使这种语言影响到全世界,这就是一项很了不起的成就。她确实非常在意这种语言所施加的影响力,而不是十分关心在不同情形中改变她自己的设计路径。

摘要：摩擦纺系统是一种新型的具有极高速度的纺纱系统(其设计最高速度为300m/分)。织物手感的客观测量是纺织领域中的一个崭新的课题,且手感本身也是织物的一个极为重要的性能。因此,摩擦纺纱线质量的检测和手感以及其他参数的客观测量就成为十分突出的问题。本文用比较的方法(摩擦纺、传统纺和涡流纺)对这一课题进行了研究并且了一些专题性的结论。