In this article, we present the concept of supra paracompact spaces and study its basic properties. We elucidate its relationship with supra compact spaces and prove that the property of being a supra paracompact space is weakly hereditary and topological properties. Also, we provide some examples to show some results concerning paracompactness on topology are invalid on supra topology. Finally...

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...

In this paper, we define the new notion of quasi-prime ideal which generalizes at once both prime ideal and primary ideal notions. Then a natural topology on the set of quasi-prime ideals of a ring is introduced which admits the Zariski topology as a subspace topology. The basic properties of the quasi-prime spectrum are studied and several interesting results are obtained. Specially, it is pro...

In a Peer-to-Peer (P2P) network, a link topology such as a ring, tree or graph describes the link structure among autonomous nodes. A node deployment model defines where and how one or more partitions of the link topology are physically running, stored and accessed. Link topology and node deployment are distinct and orthogonal concepts, and hence a node deployment model need not correspond to a...

Based on the computation of the influence function, a tool to measure the impact of each piece of sampled data on the statistical inference of a parameter, we propose to analyze the support of the maximum-likelihood (ML) tree for each site. We provide a new tool for filtering data sets (nucleotides, amino acids, and others) in the context of ML phylogenetic reconstructions. Because different si...

Silicon complexity places long-stand paradigms at risk. Key concerns include increasing process variations, defect rates, infant mortality rates, and susceptibility to internal and external noises. These trends are likely to decrease functional yield. Fabrication of die with 100%working transistors and interconnections becomes prohibitively expensive. This paper examines the size and the positi...

Abstract: There are two classes of phononic structures that can support elastic waves with non-conventional topology, namely intrinsic and extrinsic systems. The non-conventional topology of elastic wave results from breaking time reversal symmetry (T-symmetry) of wave propagation. In extrinsic systems, energy is injected into the phononic structure to break T-symmetry. In intrinsic systems sym...

We investigate the topology design in IP backbone networks while exploiting both the advantages of IP routing and optical networking. The emerging WDM and optical switching technologies enable the use of optically switched circuits to interconnect routers, which may not have direct fiber links with each other, in an IP-over-WDM network. All these “light circuits” form the underlying topology of...