Let E be a non-supersingular elliptic curve over a finite field Fq. At CRYPTO 2009, Icart introduced a deterministic function Fq → E(Fq) which can be computed efficiently, and allowed him and Coron to define well-behaved hash functions with values in E(Fq). Some properties of this function rely on a conjecture which was left as an open problem in Icart’s paper. We prove this conjecture below as...

Let ? be an open connected subset of the complex plane C and let T be a bounded linear operator on a Hilbert space H. For ? in ? let e the orthogonal projection onto the null-space of T-?I . We discuss the necessary and sufficient conditions for the map ?? to b e continuous on ?. A generalized Gram- Schmidt process is also given.

Introduction. Let G be an open subset of the Euclidean w-space E, Gi an open subset with compact closure in G. If n = 2 and G is the whole of E, an important circle of theorems in the theory of analytic functions associated with the names of Walsh, HartogsRosenthal, Lavrentiev, Keldych, and Mergelyan deals with the possibility of approximating analytic functions on Gi continuous on its closure,...

The article aims to investigate how key e-Governance dimensions related to openness, such as transparency and accountability, which are a necessary condition for reaching a high maturity of e-Government, may not be sufficient for open government. For this purpose, an interpretative framework to identify country attitudes towards Open Government is proposed and it is applied to two cases drawn f...

The integrable structure of open–closed string theories in the (p, q) conformal minimal model backgrounds is presented. The relation between the τ–function of the closed string theory and that of the open–closed string theory is uncovered. The resulting description of the open–closed string theory is shown to fit very naturally into the framework of the sl(q,C) KdV hierarchies. In particular, t...

The first decade of the twenty-first century is witnessing the convergence of three strands of development in e-learning, strands that had relatively independent origins during the 1990s. The first is the development of e-learning technology as a recognized industry. This is based on the rise of the Web and the widespread adoption of e-learning software and courses, especially learning manageme...