We give a short proof of the theorem that a closed subgroup of a countable product of second countable Lie groups is pro-Lie. The point of this note is to give a short and self-contained, modulo well known results, proof of a theorem of Hofmann and Morris [3] (see also [4, Theorem 3.35] and [5]) in the case of second countable groups. Another simple proof of the result of Hofmann and Morris was...

The widespread diffusion of wireless-enabled portable devices creates novel opportunities for users to share resources anywhere and anytime, but makes access control a crucial issue. User/device mobility and heterogeneity, together with network topology and conditions variability, complicate access control and call for novel solutions to dynamically adapt access decisions to the different opera...

in this paper, a new cascaded multilevel inverter by capability of increasing the number of output voltage levels with reduced number of power switches is proposed. the proposed topology consists of series connection of a number of proposed basic multilevel units. in order to generate all voltage levels at the output, five different algorithms are proposed to determine the magnitude of dc volta...

Topology optimization has been an interesting area of research in recent years.  The main focus of this paper is to use an evolutionary swarm intelligence algorithm to perform Isogeometric Topology optimization of continuum structures.  A two-dimensional plate is analyzed statically and the nodal displacements are calculated.  The nodal displacements using Isogeometric analysis are found to be ...

This study focuses on the topology optimization of structures using a hybrid of level set method (LSM) incorporating sensitivity analysis and isogeometric analysis (IGA). First, the topology optimization problem is formulated using the LSM based on the shape gradient. The shape gradient easily handles boundary propagation with topological changes. In the LSM, the topological gradient method as ...

Nowadays, lightweight automotive component design, regarding fuel consumption, environmental pollutants and manufacturing costs, is one of the main issues in the automotive societies. In addition, considering safety reasons, the durability of the automotive components, as one of the most important design requirements should be guaranteed. In this paper, a two-step optimization process including...

We propose a notion of a sub-model for each agent at each state in the Heifetz et al (2006) model of interactive unawareness. Presuming that each agent is fully cognizant of his sub-model causes no di¢ culty and fully describes his knowledge and his beliefs about the knowledge and awareness of others. In addition by relaxing some of the conditions that Heifetz et al imposed in their framework w...