A new interval arithmetic method is proposed to solve interval functions with correlated intervals through which the overestimation problem existing in interval analysis could be significantly alleviated. The correlat...A new interval arithmetic method is proposed to solve interval functions with correlated intervals through which the overestimation problem existing in interval analysis could be significantly alleviated. The correlation between interval parameters is defined by the multidimensional parallelepiped model which is convenient to describe the correlative and independent interval variables in a unified framework. The original interval variables with correlation are transformed into the standard space without correlation,and then the relationship between the original variables and the standard interval variables is obtained. The expressions of four basic interval arithmetic operations, namely addition, subtraction, multiplication, and division, are given in the standard space. Finally, several numerical examples and a two-step bar are used to demonstrate the effectiveness of the proposed method.展开更多
We study some class of Dunkl multiplier operators;and we establish for them the Heisenberg-Pauli-Weyl uncertainty principle and the Donoho-Stark＇s uncertainty principle.For these operators we give also an application...We study some class of Dunkl multiplier operators;and we establish for them the Heisenberg-Pauli-Weyl uncertainty principle and the Donoho-Stark＇s uncertainty principle.For these operators we give also an application of the theory of reproducing kernels to the Tikhonov regularization on the Sobolev-Dunkl spaces.展开更多
At the World Economic Forum＇s threeday meeting in Dalian,Liaoning Province,China＇s economic growth is once again in the spotlight.More than 1,700 participants from 90 countries are attending＂Summer Davos＂,opening ...At the World Economic Forum＇s threeday meeting in Dalian,Liaoning Province,China＇s economic growth is once again in the spotlight.More than 1,700 participants from 90 countries are attending＂Summer Davos＂,opening in early September,to chart a new course for growth as global recovery sinks into uncertainty.Before the conference began,business leaders from international companies shared their opinions with China＇s news media about China＇s economic prospects and what strategies they may take to readjust to the nation＇s new normal of growth.Here are the excerpts from the interview with Ahmad Khowaiter, Chief Technology Officer of Saudi Aramco：展开更多
基金supported by the National Natural Science Foundation for Excellent Young Scholars(Grant 51222502)the National Natural Science Foundation of China(Grant 11172096)the Funds for State Key Laboratory of Construction Machinery(SKLCM2014-1)
文摘A new interval arithmetic method is proposed to solve interval functions with correlated intervals through which the overestimation problem existing in interval analysis could be significantly alleviated. The correlation between interval parameters is defined by the multidimensional parallelepiped model which is convenient to describe the correlative and independent interval variables in a unified framework. The original interval variables with correlation are transformed into the standard space without correlation,and then the relationship between the original variables and the standard interval variables is obtained. The expressions of four basic interval arithmetic operations, namely addition, subtraction, multiplication, and division, are given in the standard space. Finally, several numerical examples and a two-step bar are used to demonstrate the effectiveness of the proposed method.
基金Supported by the DGRST Research Project LR11ES11CMCU Program 10G/1503
文摘We study some class of Dunkl multiplier operators;and we establish for them the Heisenberg-Pauli-Weyl uncertainty principle and the Donoho-Stark＇s uncertainty principle.For these operators we give also an application of the theory of reproducing kernels to the Tikhonov regularization on the Sobolev-Dunkl spaces.
文摘At the World Economic Forum＇s threeday meeting in Dalian,Liaoning Province,China＇s economic growth is once again in the spotlight.More than 1,700 participants from 90 countries are attending＂Summer Davos＂,opening in early September,to chart a new course for growth as global recovery sinks into uncertainty.Before the conference began,business leaders from international companies shared their opinions with China＇s news media about China＇s economic prospects and what strategies they may take to readjust to the nation＇s new normal of growth.Here are the excerpts from the interview with Ahmad Khowaiter, Chief Technology Officer of Saudi Aramco：
