This paper studies several aspects of asymptotically hyperbolic Einstein metrics, mostly on 4-manifolds. We prove boundary regularity (at infinity) for such metrics and establish uniqueness under natural conditions on the boundary data. By examination of explicit black hole metrics, it is shown that neither uniqueness nor finiteness holds in general for AH Einstein metrics with a prescribed con...

We study static brane configurations in the bulk background of the topological black holes in asymptotically flat spacetime. We find that such configurations are possible even for flat black hole horizon, unlike the AdS black hole case. We construct the brane world model with an orbifold structure S/Z2 in such bulk background. We also study massless bulk scalar field.

For a black box group G and t an involution of G we describe a computational procedure which produces elements of CG(t) by making use of the local fusion graph F(G, X), where X is the G-conjugacy class of t.

Automatic program evaluation is a way to assess source program files. These techniques are used in learning management environments, programming exams and contest systems. However, use of automated program evaluation encounters problems: some evaluations are not clear for the students and the system messages do not show reasons for lost points. The author proposes several ideas for possible imp...

We introduce a new approach in black box group theory which deals with black box group problems in the category of black boxes and their morphisms. This enables us to enrich black box groups by actions of outer automorphisms such as Frobenius maps or graph automorphisms of simple groups of Lie type. As an application of this new technique, we present a number of new results, including a solutio...

Candidiasis is the second most common vaginal infection. Given the frequent recurrence of the disease, many women tend to use herbal remedies. Thus, the present study aimed to review the association between vaginal candidiasis and herbal medicines in Iran. In this review, we retrieved articles published from 2001 to 2016. Then, the results were expressed both quantitatively and qualitatively. I...

In this paper, the pricing of a European call option on the underlying asset is performed by using a Monte Carlo method, one of the powerful simulation methods, where the price development of the asset is simulated and value of the claim is computed in terms of an expected value. The proposed approach, applied in Monte Carlo simulation, is based on the Black-Scholes equation which generally def...

The objective of current study was to determine the effects of non-thermal atmospheric plasma (NTAP) on physiological features of Black Cumin seeds. Black Cumin seeds were divided into 4 groups: one control group and three experimental groups. The experimental groups were exposed to NTAP for 5, 10 and 20 minutes, respectively. Then the seeds of the experimental and control groups grew for 21 da...

In this paper two different methods are presented to approximate the solution of the fractional Black-Scholes equation for valuation of barrier option. Also, the two schemes need less computational work in comparison with the traditional methods. In this work, we propose a new generalization of the two-dimensional differential transform method and decomposition method that will extend the appli...