Recently, a new treatment based on Taylor’s expansion to give the estimate of the convergence radius of iterative method for multiple roots has been presented. It has been successfully applied to enlarge the convergence radius of themodified Newton’s method and Osada’s method for multiple roots. This paper re-investigates the convergence radius of Halley’s method under the condition that the de...

We demonstrate that the G ′ /G expansion method which is often used in finding exact solutions of nonlinear differential equation is equivalent to the well – known tanh method and application of these methods gives the same exact solutions of nonlinear differential equations.

UNLABELLED In this study, carboxylic acid functionalized single walled carbon nanotubes (f-SWCNT-COOH) was shown to support the viability and ex vivo expansion of freeze-thawed, non-enriched hematopoietic stem and progenitor cells (HSPC) in human umbilical cord blood-mononucleated cells (UCB-MNC). Our in vitro experiments showed that f-SWCNT-COOH increased the viability of the CD45(+) cells eve...

In this paper we provide a new method to generate hard k-SAT instances. Basically, we construct the bipartite incidence graph of a k-SAT instance where the left side represents the clauses and the right side represents the literals of our Boolean formula. Then, the clauses are filled by incrementally connecting both sides while keeping the girth of the graph as high as possible. That assures th...

This article presents differential equations and solution methods for the functions of the form A(z) = F−1(G(z)), where F and G are cumulative distribution functions. Such functions allow the direct recycling of samples from one distribution into samples from another. The method may be developed analytically for certain special cases, and illuminate the idea that it is a more precise form of th...

Abstract In this paper, a new approach to the numerical solution of VolterraFredholm integral equations by using expansion method based on the composition of the inverse and direct discrete fuzzy transforms (shortly F-transforms) in combination with the collocation technique is proposed. First, the unknown function is approximated by using the composition of the inverse and direct discrete F-tr...

Abstract The accelerated expansion of the universe demands presence an exotic matter, namely dark energy. Though cosmological constant fits this role very well, a scalar field minimally coupled to gravity, or quintessence, can also be considered as viable alternative for constant. We study f ( R ) gravity models which lead effective description energy implemented by quintessence fields in Einst...