In this paper, we are concerned with the existence of traveling wave solutions for Keller-Segel model logarithmic sensitivity. By Hopf-Cole transformation and transformation, degenerate system is transformed into a singularly perturbed system. constructing an invariant region to prove system, obtain small parameter by using geometric singular perturbation theory Fredholm theory. Finally, discus...

The Multi-Dimensional Logarithmic Number System (MDLNS), with similar properties to the Logarithmic Number System (LNS), provides more degrees of freedom than the LNS by virtue of having two orthogonal bases and the ability to use multiple digits. Unlike the LNS, there is no direct functional relationship between binary/floating point representation and the MDLNS representation. Traditionally l...

In order to meet the users’ demand, bike sharing systems must be regularly rebalanced. The problem of balancing bike sharing systems (BBSS) is concerned with designing optimal tours and operating instructions for relocating bikes among stations to maximally comply with the expected future bike demands. In this paper, we tackle the BBSS by means of Constraint Programming: first, we introduce two...

The early cytokines production in response to live logarithmic and stationary phase promastigotes of Leishmania major was examined on the peripheral blood cells of the healthy individuals. Whole blood cultures were stimulated by either logarithmic or stationary phase promastigotes. IFN- and IL-10 productions were assessed by specific sandwich ELISA. The results showed that the logarithmic prom...

We show that the moment generating function of a Markov modulated rate process (MMRP) is related to the moment generating function of a Markov modulated Poisson process (MMPP) through a logarithmic transformation of the argument. Some implications, extensions and limitations of this relationship are presented.

The graphical tools (see Section 4) showed that the logarithmic transformation applied to both the response (concentration ratio) and the explanatory variable sacrifice time makes the relationship between the two variables approximately linear. In this section we will examine the relationship between the logarithm of concentration ratio (LNRATIO) and the eight explanatory variables with the fol...

the early cytokines production in response to live logarithmic and stationary phase promastigotes of leishmania major was examined on the peripheral blood cells of the healthy individuals. whole blood cultures were stimulated by either logarithmic or stationary phase promastigotes. ifn- and il-10 productions were assessed by specific sandwich elisa. the results showed that the logarithmic prom...

In this paper, we prove a conditional stability estimate of the logarithmic type for a wave equation on a line in Rn, 2 ≤ n ≤ 3 by combining the Fourier-Bros-Iagolnitzer transformation. Then we apply it to an inverse wave source problem of determining a spatially varying source term on its extended line by observations of a segment and establish the conditional stability.

The algorithm for finding the optimal consistent approximation of an inconsistent pairwise comaprisons matrix is based on a logarithmic transformation of a pairwise comparisons matrix into a vector space with the Euclidean metric. Orthogonal basis is introduced in the vector space. The orthogonal projection of the transformed matrix onto the space formed by the images of consistent matrices is ...