It is well known that infinite minimal sets for continuous functions on the interval are Cantor sets; that is, compact zero dimensional metrizable sets without isolated points. On the other hand, it was proved in Alcaraz and Sanchis (Bifurcat Chaos 13:1665–1671, 2003) that infinite minimal sets for continuous functions on connected linearly ordered spaces enjoy the same properties as Cantor set...

We prove the convex hull property for properly immersed minimal hypersurfaces in a cone of Rn. We deal with the existence of new barriers for the maximum principle application in noncompact truncated tetrahedral domains of R3, describing the space of such domains admitting barriers of this kind. Nonexistence results for nonflat minimal surfaces whose boundary lies in opposite faces of a tetrahe...

Let T be a (first order complete) dependent theory, C a κ̄-saturated model of T and G a definable subgroup which is abelian. Among subgroups of bounded index which are the union of < κ̄ type definable subsets there is a minimal one, i.e. their intersection has bounded index. See history in [Sh:876]. We then deal with definable groups for 2-dependent theories, a wider class of first order theories...

The range of Ubiquitous Computing environments envisioned are characterized as either constantly controlled by a permanent owner, i.e. a privatized environment, or support a general scope of controlling parties as in a public setting. This paper proposes a component architecture and operational protocol for an environment that and transiently changes from the first to the second, based on the v...

In this paper, we introduce the notion of subsumption justification to capture the subsumption knowledge about a term with respect to all primitive and complex concepts built from terms in a given vocabulary Σ. It extends the notion of classical justification that is a minimal set of axioms needed to preserve the entailment of a particular subsumption C v D. Then we apply this notion to compute...

This research is about the group coverings of subsets finite non-abelian groups and its application in field cryptography. Group abelian has been researched over years it many applications various fields. The popularity internet increased rapidly cryptography become more important as ensures privacy security users network. A cryptosystem a structure consisting several cryptographic primitives. ...

This work is concerned with the approximation and the numerical computation of polygonal minimal surfaces in IR q (q 2). Polygonal minimal surfaces correspond to the critical points of Shiiman's function. Since this function is analytic, polygonal minimal surfaces can be characterized by means of the second derivative of. We present a nite element approximation of quasiminimal surfaces together...