The optimal exponentials of thickness in the geometry rigidity inequality of shells represent the geometry rigidity of the shells.The author obtains that the lower bounds of the optimal exponentials are 4/3,3/2,and 1,...The optimal exponentials of thickness in the geometry rigidity inequality of shells represent the geometry rigidity of the shells.The author obtains that the lower bounds of the optimal exponentials are 4/3,3/2,and 1,for hyperbolic shells,parabolic shells,and elliptic shells,respectively,through the construction of the Ans?tze.展开更多
The purpose of this paper is to deduce an analytical expression for the violation of Bell's inequality by quantum theory and plane trigonometry, and expound the violation and maximal violation of the first, second...The purpose of this paper is to deduce an analytical expression for the violation of Bell's inequality by quantum theory and plane trigonometry, and expound the violation and maximal violation of the first, second type Bell's inequality in detail. Further, we find out the sufficient conditions for the region in which Bell's inequalities are violated.展开更多
基金supported by the National Science Foundation of China under Grant Nos.12071463 and61573342Key Research Program of Frontier Sciences,Chinese Academy of Sciences,under Grant No.QYZDJ-SSW-SYS011。
文摘The optimal exponentials of thickness in the geometry rigidity inequality of shells represent the geometry rigidity of the shells.The author obtains that the lower bounds of the optimal exponentials are 4/3,3/2,and 1,for hyperbolic shells,parabolic shells,and elliptic shells,respectively,through the construction of the Ans?tze.
文摘The purpose of this paper is to deduce an analytical expression for the violation of Bell's inequality by quantum theory and plane trigonometry, and expound the violation and maximal violation of the first, second type Bell's inequality in detail. Further, we find out the sufficient conditions for the region in which Bell's inequalities are violated.
