Abstract. In this paper, we propose to study a generalized form of the exponential power distribution which contains others in the literature as special cases. This unifying exponential power distribution is characterized by a parameter ω and a function h(ω) which regulates the tail behavior of the distribution, thus making it more flexible and suitable for modeling than the usual normal di...

While the computation of the matrix exponential is known to be dubious, the computed value is used widely in system analysis. This is especially true for the time-dependent matrix exponential. As the systems that we model become more complex, the order of the systems, and thus the order of the matrix exponential become larger. Even with today’s increases in processing power, the computation of ...

An analytic expression of transmittance based on the Airy wavefunctions approach has been derived for an electron through an anisotropic heterostructure with an applied voltage to the barrier of the heterostructure. The Si(110)|Si0.5Ge0.5|Si(110) heterostructure was used to examine the analytic expression. In order to evaluate the Airy wavefunctions approach, the transfer matrix method, which i...