In this paper, we introduce a method by which we can find a close connection between the set of prime $z$-ideals of $C(X)$ and the same of $C(Y)$, for some special subset $Y$ of $X$. For instance, if $Y=Coz(f)$ for some $fin C(X)$, then there exists a one-to-one correspondence between the set of prime $z$-ideals of $C(Y)$ and the set of prime $z$-ideals of $C(X)$ not containing $f$. Moreover, c...

We establish triviality of some holomorphic Banach vector bundles on the maximal ideal space M(H∞) of the Banach algebra H∞ of bounded holomorphic functions on the unit disk D ⊂ C with pointwise multiplication and supremum norm. We apply the result to the study of the Sz.-Nagy operator corona problem. 1. Formulation of Main Results 1.1. We continue our study started in [Br2] of analytic objects...

in this paper we consider contact cr-warped product submanifolds of the type $m = n_ttimes_f n_perp$, of a nearly kenmotsu generalized sasakian space form $bar m(f_1‎, ‎f_2‎, ‎f_3)$ and by use of hopf's lemma we show that $m$ is simply contact cr-product under certain condition‎. ‎finally‎, ‎we establish a sharp inequality for squared norm of the second fundamental form and equality case i...

Manual vulnerability discovery and exploit development on an executable are very challenging tasks for developers. Therefore, the automation of those tasks is becoming interesting in the field of software security. In this paper, we implement an approach of automated exploit generation for firmware of embedded systems by extending an existing dynamic analysis framework called Avatar. Embedded s...

t. ikawa obtained an ordinary differential equation for the circular helix. recently, the helix havebeen investigated by many differential geometers such as t. ikawa, h. balgetir, m. bektas, m. ergut, n.ekmekci and h. h. hacısalihoglu. in this paper, making use of this author’s methods, we obtainedcharacterizations of helix for a curve with respect to the frenet frame in 3-dimensional galilean ...

However, for any point p on the manifold M and for any chart whose domain contains p, there is a convenient basis of the tangent space Tp(M). The third definition is also the most convenient one to define vector fields. A few technical complications arise when M is not a smooth manifold (when k 6=∞), but these are easily overcome using “stationary germs.” As pointed out by Serre in [161] (Chapt...

This paper presents and justifies an open benchmark suite named BEEBS, targeted at evaluating the energy consumption of embedded processors. We explore the possible sources of energy consumption, then select individual benchmarks from contemporary suites to cover these areas. Version one of BEEBS is presented here and contains 10 benchmarks that cover a wide range of typical embedded applicatio...

M-theory suggests the study of 11-dimensional space-times compactified on 7manifolds. From its intimate relation to superstrings, one possible class of such 7manifolds are those that arise from rolling Calabi-Yau threefolds in the web of CalabiYau moduli spaces. The resulting 7-space in general has singularities governed by the extremal transitions undergone. In this article, we employ topologi...