In this article we give strong versions for preparation theorems $\mathbb{R}_{\textnormal{an,exp}}$-definable functions outgoing from methods of Lion and Rolin ($\mathbb{R}_{\textnormal{an,exp}}$ is the o-minimal structure generated by all restricted analytic global exponential function). By a deep model theoretic fact Van den Dries, Macintyre Marker every function piecewise given $\mathcal{L}_...

In this paper, we propose and study exp-kumaraswamy distribution. Some of its properties  are derived, including the density function, hazard rate function, quantile function, moments,  skewness  and kurtosis.   Adata set isused to illustrate an application of the proposed distribution. Also, we obtain a new distribution by transformation onexp-kumaraswamy distribution.   New distribution is an...

In this paper, we analyze the structure of the Hardy fields associated with o-minimal expansions of the reals with exponential function. In fact, we work in the following more general setting. We take T to be the theory of a polynomially bounded o-minimal expansion P of the ordered field of real numbers by a set FT of real-valued functions. We assume that the language of T contains a symbol for...

In our previous paper, we tested the chiral (Kyushu) folding model for 12C+12C scattering, since profile function in Glauber mode is constructed system. We found that reliable reaction cross sections σR 30≲Elab≲100MeV and 250≲Elab≲400MeV. Accurate data are available 12C scattering on 9Be, 12C, 27Al targets 30≲Elab≲400MeV. determine matter radius rm(exp) of from accurate σR(exp), using Kyushu g-...

Non-linear saturation kinetics can be described through a potency function, a trigonometric function, a logarithmic function, a hyperbolic function, or an exponential function. Saturable enzyme reaction kinetics can be alternatively formulated as a 1-exp function without the limitations of a steady-state assumption (d[C]/dt = 0, where C is the enzyme-substrate complex). The time-dependent subst...

In this paper, we establish exact solutions for a nonlinear evolution equation. The sech method and the exp-function method are used to construct the solitary travelling wave solutions of Lax’s seventh-order KdV equation. These solutions may be important of significance for the explanation of some practical physical problem. Crown Copyright 2008 Published by Elsevier Inc. All rights reserved.