Can we determine a spin parameter of a black hole by observation of a black hole shadow in an accretion disk? In order to answer this question, we make a qualitative analysis and a quantitative analysis of a shape and a position of a black hole shadow casted by a rotating black hole on an optically thick accretion disk and its dependence on an angular momentum of a black hole. We consider two t...

We prove a non-negative-stellensatz and a null-stellensatz for a class of polynomials called hereditary polynomials in a free ∗-algebra. Mathematics Subject Classification: 46A55, 06F25, 41A63

In this article we introduce and investigate the notion of ∆(r)-null, ∆(r)-convergent and ∆(r)-bounded sequences of fuzzy numbers which generalize the notion of null, convergent and bounded sequence of fuzzy numbers. 2000 Mathematics Subject Classification: 40A05, 40D25.

In [6] Freniche proved that any weakly null martingale difference sequence in L1[0, 1] has arithmetic means that converge in norm to 0. We show any weakly null martingale difference sequence in an Orlicz space whose N-function belongs to ∇3 has arithmetic means that converge in norm to 0. Then based on a theorem in Stout [13][Theorem 3.3.9 (i) and (iii)], we give necessary and sufficient condit...

Rhinovirus (RV), a single-stranded RNA picornavirus, is the most frequent cause of asthma exacerbations. We previously demonstrated in human bronchial epithelial cells that melanoma differentiation-associated gene (MDA)-5 and the adaptor protein for Toll-like receptor (TLR)-3 are each required for maximal RV1B-induced interferon (IFN) responses. However, in vivo, the overall airway response to ...

The problem of existence of spacelike hypersurfaces with constant mean curvature in asymptotically flat spacetimes is considered for a class of asymptotically Schwarzschild spacetimes satisfying an interior condition. Using a barrier construction, a proof is given of the existence of complete hypersurfaces with constant mean cuvature which intersect null infinity in a regular cut. 1991 Mathemat...

arabic and persian poems have numerous common points and poets of these two languages share the  same point in style, subject, structure and music of poetry. mahdi akhavan thaleth, famous iranian poet, and boland al-heidari, well-known iraqi poet,  are among poets who have many similarities in their works. as an example, there are some conceptual and verbal  similarities between qasedak and sae...