Two-Step lagrange interpolation method for the multilevel fast multipole algorithm

We present a two-step Lagrange interpolation method for the efficient solution of large-scale electromagnetics problems with the multilevel fast multipole algorithm (MLFMA). Local interpolations are required during aggregation and disaggregation stages of MLFMA in order to match the different sampling rates for the radiated and incoming fields in consecutive levels. The conventional one-step method is decomposed into two one-dimensional interpolations, applied successively. As it provides a significant acceleration in processing time, the proposed two-step method is especially useful for problems involving large-scale objects discretized with millions of unknowns. © 2006 IEEE

On soft regular generalized closed sets with respect to a soft ideal in soft topological spaces

The notion of soft ideal in soft topological spaces was studied by Mustafa and Sleim [9]. They studied the concept of soft generalized closed sets with respect to a soft ideal, which is the extension of the concept of soft generalized closed sets. In this paper, we define soft regular generalized closed and open sets with respect to a soft ideal in soft topological spaces and study some of their properties. We introduce these concepts in soft topological spaces which are defined over an initial universe with a fixed set of parameters. © 2016, University of Nis. All rights reserved

On soft generalized closed sets in soft topological spaces

In this paper, we continue the study of soft generalized closed sets in a soft topological space introduced by Kannan [1]. Firstly, we give a representation of soft sets and soft topological spaces. Secondly, we investigate behavior relative to soft subspaces of soft generalized closed sets. We show that a soft generalized closed set in a soft compact (soft Lindelöf, soft countably compact) space is also soft compact. Then, we show that a soft compact set in a soft regular space is soft generalized closed and disjoint soft g-closed sets in a soft normal space generally cannot be separated by soft open sets. Finally, we investigate some properties of soft generalized open sets. © 2005 - 2013 JATIT & LLS. All rights reserved

Intestinal fatty acid binding protein (I-FABP) as a promising test for Crohn's disease: A preliminary study

Background: Crohn's disease (CD) is a chronic inflammatory bowel disease that can affect any part of the gastrointestinal tract from the mouth to the anus. The clinical course presents with remissions and activations. Also, clinical findings or endoscopic activity do not always reflect the overall appropriate disease activity. This is why specific markers are always an issue of concern for the diagnosis, prediction of relapse, and monitoring of CD activity. Fatty acid binding proteins (FABPs) are intracellular proteins that are expressed abundantly in several tissues. Intestinal FABP (I-FABP) is a plasma and urine marker that indicates intestinal damage. In this preliminary study, we aimed to determine whether serum I-FABP levels are a useful marker for CD. Methods: Seventy-four patients with CD (41 active and 33 in remission) and 37 healthy controls were included in the study. The level of serum I-FABP was determined by ELISA. Crohn's disease activity index (CDAI) and CRP were used to assess the activity of Crohn's disease and to evaluate whether IFABP is a useful laboratory marker. Results: Serum I-FABP levels of patients with active disease were observed to be statistically higher than patients in the remission and control groups (p = 0.012 and p = 0.038, respectively). No statistically significant difference was observed among patients in the remission and control groups (p = 0.145). Correlation analysis showed a positive correlation between I-FABP and CDAI (r = 0.319, p = 0.006). In addition, a positive correlation was found between CRP and I-FABP levels. Conclusions: I-FABP seems to be a useful systemic marker for CD activity