AdS/CFT and Randall-Sundrum Model Without a Brane

We reformulate the Randall-Sundrum (RS) model on the compactified AdS by adding a term proportional to the area of the boundary to the usual gravity action with a negative cosmological constant and show that gravity can still be localized on the boundary without introducing singular brane sources. The boundary conditions now follow from the field equations, which are obtained by letting the induced metric vary on the boundary. This approach gives similar modes that are obtained in [1] and clarifies the complementarity of the RS and the AdS/CFT pictures. Normalizability of these modes is checked by an inner-product in the space of linearized perturbations. The same conclusions hold for a massless scalar field in the bulk.Comment: Comments and references added, to apear in JHE

A Note on Supergravity Solutions for Partially Localized Intersecting Branes

Using the method developed by Cherkis and Hashimoto we construct partially localized D3/D5(2), D4/D4(2) and M5/M5(3) supergravity solutions where one of the harmonic functions is given in an integral form. This is a generalization of the already known near-horizon solutions. The method fails for certain intersections such as D1/D5(1) which is consistent with the previous no-go theorems. We point out some possible ways of bypassing these results.Comment: 9 pages, 2 figures, revtex

Women in post-conflict Iraqi Kurdistan

Iraqi Kurdistan does much better on women’s rights issues in comparison to the rest of Iraq, yet many challenges remain

Comparing numerical methods for the solutions of systems of ordinary differential equations

AbstractIn this article, we implement a relatively new numerical technique, the Adomian decomposition method, for solving linear and nonlinear systems of ordinary differential equations. The method in applied mathematics can be an effective procedure to obtain analytic and approximate solutions for different types of operator equations. In this scheme, the solution takes the form of a convergent power series with easily computable components. This paper will present a numerical comparison between the Adomian decomposition and a conventional method such as the fourth-order Runge-Kutta method for solving systems of ordinary differential equations. The numerical results demonstrate that the new method is quite accurate and readily implemented

Artificial intelligence and education: An overview

The main purpose of this research is to present a comparative perspective to everyone who is interested in education in terms of the advantages and disadvantages of the use of artificial intelligence in education. When the literature on this issue is examined, it is clearly seen that there are both positive and negative opinions about the use of artificial intelligence in education. This situation leads to instability in the education systems of the world countries. As a result of this instability, on the one hand, while education systems look at the use of artificial intelligence positively in order to keep up with technology and benefit from the advantages that it can provide, on the other hand, they hesitate when they consider the disadvantages that this situation may cause. For this reason, in this study, comparative information was given in order to conclude this indecision and hesitation experienced by education systems, and the idea of using artificial intelligence as an assistant teacher in education and seeing it as an opportunity rather than a danger was advocated