Let M be a closed maximally complex submanifold of some relatively compact open subset A of the boundary of a strictly pseudoconvex domain Ω of C. We find an open domain à of Ω, depending only on Ω and A, and a complex variety with isolated singularities W ⊂ à such that bW ∩ A = M .

Removable memory device (RMD) is one of main way for propagating computer virus. In this paper, a dynamic propagation model of RMD-virus with varying population size is discussed. Unlike other computer virus propagation models, the proposed model mainly considers the RMD-virus propagation between host and RMD, which is embodied by introducing the RMD state and new propagation rate. Furthermore,...

The abstract boundary construction of Scott and Szekeres is a general and flexible way to define singularities in General Relativity. The abstract boundary construction also proves of great utility when applied to questions about more general boundary features of space-time. Within this construction an essential singularity is a non-regular boundary point which is accessible by a curve of inter...

1 Introduction Traditionally, systems for large-scale data storage have been based on removable media such as tape and, more recently, optical disk (CD, DVD). While the need for increased storage capacity has never been greater, the inadequacies of traditional approaches have never been more apparent. This is especially true for fixed-content data: new government regulations and increasingly co...

It is a classical result that a closed exceptional polar set is removable for subharmonic functions which are bounded above. Gardiner has shown that in the case of a compact exceptional set the above boundedness condition can be relaxed by imposing certain smoothness and Hausdorff measure conditions on the set. We give related results for a closed exceptional set, by replacing the smoothness an...

We give an example of a exible curve, i.e., a closed curve ? so that for any other closed curve ? 0 and " > 0 there is a homeomorphism of the sphere, conformal oo ?, so that (?) lies in an " neighborhood of ? 0. Moreover, for any guage function h such that h(t) = o(t) as t ! 0, we may take ? to have zero Hausdorr measure with respect to h. This extends a result of Robert Kaufman on removable se...