1 Introduction Over one million cardiac pacemakers are implanted every year worldwide,[11 of which approximately 200,000 are implanted in the United States alone.121 Combined with an aging population and increasing p...1 Introduction Over one million cardiac pacemakers are implanted every year worldwide,[11 of which approximately 200,000 are implanted in the United States alone.121 Combined with an aging population and increasing pacing indications, these numbers are expected to grow. Since the first pacemaker implantation in 1950s, cardiac pacemaker technology has rapidly advanced. Reduction in generator size, increased battery longevity, quality of pacemaker leads, algorithmic and rate responsive programming-all have revolutionized and transformed the implantation and management of transvenous cardiac pacemaker (TV-PPM).展开更多
In this paper we define the tensor products of spaces of exponential type vectors of closed unbounded operators in Banach spaces. Using the real method of interpolation (K-functional) we prove the interpolation theo...In this paper we define the tensor products of spaces of exponential type vectors of closed unbounded operators in Banach spaces. Using the real method of interpolation (K-functional) we prove the interpolation theorems that permit to characterize of tensor products of spaces of exponential type vectors, We show an application of abstract results to the theory of regular elliptic operators on bounded domains. For such operators the exponential type vectors are root vectors. Thus we describe the tensor products of root vectors of regular elliptic operators on bounded domains.展开更多
The Casimir effect has been studied for various quantum fields in both fiat and curved spacetimes. As a further step along this line, we provide an explicit derivation of Casimlr effect for massless spin-3/2 field wit...The Casimir effect has been studied for various quantum fields in both fiat and curved spacetimes. As a further step along this line, we provide an explicit derivation of Casimlr effect for massless spin-3/2 field with periodic boundary condition imposed in four-dimensional Minkowski spacetime. The corresponding results with Dirichlet and Neumann boundary conditions are also discussed.展开更多
In this paper the variation of interface stress intensity factors is considered under arbitrary material combinations for several problems such as central internal interface cracks, periodic interface cracks, and edge...In this paper the variation of interface stress intensity factors is considered under arbitrary material combinations for several problems such as central internal interface cracks, periodic interface cracks, and edge interface cracks. The stress intensity factors for all these problems have been determined in terms of Dundurs' parameters a, b by the application of FEM in the authors' previous papers. In this paper, the variations of the stress intensity factors for all these problems are discussed under arbitrary a, b, then the maximum and minimum values of dimensionless stress intensity factors FI,max, FII,max, FI,min, FII,max are indicated on the map of a, b. As an example, it is found that FI,max always appears when (a, b)= (0.2,0.3), and FI,min always appears when (a, b)= (1,0), for the central internal interface cracks independent of crack length.展开更多
文摘1 Introduction Over one million cardiac pacemakers are implanted every year worldwide,[11 of which approximately 200,000 are implanted in the United States alone.121 Combined with an aging population and increasing pacing indications, these numbers are expected to grow. Since the first pacemaker implantation in 1950s, cardiac pacemaker technology has rapidly advanced. Reduction in generator size, increased battery longevity, quality of pacemaker leads, algorithmic and rate responsive programming-all have revolutionized and transformed the implantation and management of transvenous cardiac pacemaker (TV-PPM).
文摘In this paper we define the tensor products of spaces of exponential type vectors of closed unbounded operators in Banach spaces. Using the real method of interpolation (K-functional) we prove the interpolation theorems that permit to characterize of tensor products of spaces of exponential type vectors, We show an application of abstract results to the theory of regular elliptic operators on bounded domains. For such operators the exponential type vectors are root vectors. Thus we describe the tensor products of root vectors of regular elliptic operators on bounded domains.
基金The project supported partly by National Natural Science Foundation of China under Grant Nos. 10373003, 10475013, and NBRPC under Grant No. 2003CB716302
文摘The Casimir effect has been studied for various quantum fields in both fiat and curved spacetimes. As a further step along this line, we provide an explicit derivation of Casimlr effect for massless spin-3/2 field with periodic boundary condition imposed in four-dimensional Minkowski spacetime. The corresponding results with Dirichlet and Neumann boundary conditions are also discussed.
基金supported by the Japanese Government (Monbukagukusho) Scholarshipthe National Basic Research Program of China (Grant No.2011CB013702)
文摘In this paper the variation of interface stress intensity factors is considered under arbitrary material combinations for several problems such as central internal interface cracks, periodic interface cracks, and edge interface cracks. The stress intensity factors for all these problems have been determined in terms of Dundurs' parameters a, b by the application of FEM in the authors' previous papers. In this paper, the variations of the stress intensity factors for all these problems are discussed under arbitrary a, b, then the maximum and minimum values of dimensionless stress intensity factors FI,max, FII,max, FI,min, FII,max are indicated on the map of a, b. As an example, it is found that FI,max always appears when (a, b)= (0.2,0.3), and FI,min always appears when (a, b)= (1,0), for the central internal interface cracks independent of crack length.