In this paper, we prove that any polygon P in R^2 containing a fixed smooth, strictly convex and origin-symmetric body Γ whose boundary is real analytic in its interior, can be determined by its Γ-section functions ...In this paper, we prove that any polygon P in R^2 containing a fixed smooth, strictly convex and origin-symmetric body Γ whose boundary is real analytic in its interior, can be determined by its Γ-section functions among the polygons.展开更多
The middle convex and varying ellipse piston is th e key component of an internal combustion engine In general,the piston is mac hined by non circular section CNC lathe,but the measuring of piston profile is man...The middle convex and varying ellipse piston is th e key component of an internal combustion engine In general,the piston is mac hined by non circular section CNC lathe,but the measuring of piston profile is manipulated by off line Because the off line measuring reference is differen t from the machining reference,the measurement result is diverse from the act ual dimension A new method to measure the middle convex and varying ellipse p iston profile, which is known as on line measuring, is presented By using thi s kind of method,the high measurement accuracy can be gained,as well as meeting the production requirement.展开更多
基金Project supported by the Youth Science Foundation of Shanghai Municipal Commission of Education （Grant No.214511）, and in part by the Research Grants Council of the Hong Kong SAR, China （Grant No.HKU7016/07P）
文摘In this paper, we prove that any polygon P in R^2 containing a fixed smooth, strictly convex and origin-symmetric body Γ whose boundary is real analytic in its interior, can be determined by its Γ-section functions among the polygons.
基金This project is supported by National Natural Science Foundation of China(No.59675066).
文摘The middle convex and varying ellipse piston is th e key component of an internal combustion engine In general,the piston is mac hined by non circular section CNC lathe,but the measuring of piston profile is manipulated by off line Because the off line measuring reference is differen t from the machining reference,the measurement result is diverse from the act ual dimension A new method to measure the middle convex and varying ellipse p iston profile, which is known as on line measuring, is presented By using thi s kind of method,the high measurement accuracy can be gained,as well as meeting the production requirement.
基金Supported by the Scientific Research Foundation of Science and Technologe Bureau of Bijie Prefecture of Guizhou Province(2008-06) the Scientific Research Foundation of Bijie University(20072001)
