This paper investigates Gibrat’s law by using a panel unit root test, as a panel unit root can increase power in contrast to a conventional individual ADF test. At first this paper uses the panel unit root test to testify Gibrat’s law under independent and identical distribution, with the test results rejecting the null hypothesis of Gibrat’s law. Independent and identical distributions are not...

 The object of the present study is to propose the power law process also known as non homogenous poison process which is identical to the weibull process in analyzing and modeling different types of cancer, especially breast cancer.  The key objective is to study the change of the tumor growth as a function of age. The intensity function within the power law process will give us the rate of ...

We characterize the dependence on doublets of the cohomology of an arbitrary nilpotent differential s (including BRST differentials and classical linearized Slavnov-Taylor (ST) operators) in terms of the cohomology of the doublets-independent component of s. All cohomologies are computed in the space of local integrated formal power series. We drop the usual assumption that the counting operato...

Whether Fitts’ law, a well-known model of human pointing movement, is a logarithmic law or a power law has remained unclear so far. In two widely cited papers, Meyer et al. have claimed that the power model they derived from their celebrated stochastic optimized-submovement theory encompasses the logarithmic model as a limiting case. We show that Meyer et al.’s theory implies in fact a quasi-lo...

The present study attempted deriving and solving the falling- cylinder governing equations for power law model non-Newtonian fluids. Based on this theoretical study, a novel falling- cylinder rheometer (FCR) was designed and constructed to measure the Theological properties of non-Newtonian fluids. Different falling cylinders with predesigned densities were used to determine the apparent viscos...

To qualitatively investigate the validity of Kolmogorov local equilibrium hypothesis and the Taylor dissipation law, we conduct direct numerical simulations of the three-dimensional turbulent Kolmogorov flow. Since strong scale-by-scale (i.e. Richardson-type) energy cascade events occur quasi-periodically, the kinetic energy of the turbulence and its dissipation rate evolve quasi-periodically t...

The onset of thermal convection in a rotating spherical shell of intermediate radius ratio eta=0.4 is studied numerically for Taylor numbers Ta > or = 10(11) and the Prandtl number of the liquid sodium (sigma=0.01). For the first time, it is shown that at very high Taylor numbers the first unstable mode can be antisymmetric with respect to the equator and confined inside a cylinder tangent to t...