The law of multiplicative error is presented for independent observations and correlated observations represented by the q-product, respectively. We obtain the standard log-normal distribution in the former case and the log-q-normal distribution in the latter case. Queirós’ q-log normal distribution is also reconsidered in the framework of the law of error. These results are presented with math...

In this article, we develop a set of partial differential equations describing the flow of a dusty fluid in variable porosity media. The developed equations take into account the effect of the porous microstructure on the flowing phases. We presented and overview of the equations governing the flow of a dusty gas in various type media, including that in naturally occurring porous media. Numeric...

The existence and comparison theorem of solutions is first established for the quasimonotone delayed reaction-diffusion equations on R by appealing to the theory of abstract functional differential equations. The global asymptotic stability, Liapunov stability and uniqueness of traveling wave solutions are then proved by the elementary superand sub-solution comparison and squeezing methods. Sup...

We construct two variable-step linearly implicit Runge–Kutta methods of orders 3 and 4 for the numerical integration of the semidiscrete equations arising after the spatial discretization of advection–reaction–diffusion equations. We study the stability properties of these methods giving the appropriate extension of the concept of L-stability. Numerical results are reported when the methods pre...

Motivated by a promotion to increase the number of musical downloads, we introduce the concept of C-incentive and show an algorithm that compute the smallest C-incentive containing a subset X ⊆ N. On the other hand, in order to study C-incentives, we see that we can focus on numerical C-incentives. Then, we establish that the set formed by all numerical C-incentives is a Frobenius pseudo-variet...

Various exact tests for showing a di&erence between two treatments or the non-inferiority (therapeutic equivalence) based on the di&erence of two binomial proportions are compared. It is found that a frequently used test has to be applied with great caution due to its numerical instability. Furthermore, a test based on the score statistic can be recommended as a good compromise between a simple...

An algorithm is given for calculating the solution to the 3D inverse scattering problem with noisy discrete fixed energy data. The error estimates for the calculated solution are derived. The methods developed are of general nature and can be used in many applications: in nondestructive evaluation and remote sensing, in geophysical exploration, medical diagnostics and technology.

Snow cover is a layer of snow on the earth’s surface, which is mainly results from snowfalls. The snow cover can be temporary, when a snow melts during several hours or days after its formation, and it can be stable, when it remains for the whole winter or with short interruptions. The snow cover formation on the globe is determined (conditioned) by the geographical zonality, surface relief, an...