The author gives a dual characterization of solid cones in locally convex spaces. From this the author obtains some criteria for judging convex cones to be solid in various kinds of locally convex spaces. Using a gene...The author gives a dual characterization of solid cones in locally convex spaces. From this the author obtains some criteria for judging convex cones to be solid in various kinds of locally convex spaces. Using a general expression of the interior of a solid cone, the author obtains a number of necessary and sufficient conditions for convex cones to be solid in the framework of Banach spaces. In particular, the author gives a dual relationship between solid cones and generalized sharp cones. The related known results are improved and extended.展开更多
On surfaces we give conditions under which the solution of a restricted local isoperimetric problem for sectors with small solid angle is the circular sector and we characterize these surfaces. Also we study this prob...On surfaces we give conditions under which the solution of a restricted local isoperimetric problem for sectors with small solid angle is the circular sector and we characterize these surfaces. Also we study this problem for general spherical cones on hypersurfaces in higher dimensional Riemannian manifolds.展开更多
密封钢丝绳生产的关键是Z形钢丝的生产,整体模拉拔Z形钢丝的关键是各道次拉丝模的孔型设计,应保证腰部两侧最大压下量处的模具工作锥半角不大于6°。采用12.5 mm 82B盘条经2道次圆形模和7道次异型模拉拔,选择70%~77%的总压缩率,...密封钢丝绳生产的关键是Z形钢丝的生产,整体模拉拔Z形钢丝的关键是各道次拉丝模的孔型设计,应保证腰部两侧最大压下量处的模具工作锥半角不大于6°。采用12.5 mm 82B盘条经2道次圆形模和7道次异型模拉拔,选择70%~77%的总压缩率,以及适当的道次压缩率,成功生产了1 770 MPa级Z6光面钢丝和1 670 MPa级Z6镀锌钢丝。提出Z形钢丝生产中应注意的问题,并对整体模与辊模拉拔进行对比,指出整体模拉拔更适合小批量生产。展开更多
基金the National Natural Science Foundation of China(10571035)
文摘The author gives a dual characterization of solid cones in locally convex spaces. From this the author obtains some criteria for judging convex cones to be solid in various kinds of locally convex spaces. Using a general expression of the interior of a solid cone, the author obtains a number of necessary and sufficient conditions for convex cones to be solid in the framework of Banach spaces. In particular, the author gives a dual relationship between solid cones and generalized sharp cones. The related known results are improved and extended.
基金supported by a DGI(Spain) and Feder Project MTM 2004-06015-C02-01 AVCiT GRUPOS 03/169
文摘On surfaces we give conditions under which the solution of a restricted local isoperimetric problem for sectors with small solid angle is the circular sector and we characterize these surfaces. Also we study this problem for general spherical cones on hypersurfaces in higher dimensional Riemannian manifolds.
