Using gauss - Jordan elimination method with CUDA for linear circuit equation systems

AbstractMany scientific and engineering problems can use a system of linear equations. In this study, solution of Linear Circuit Equation System (LCES) for an nxn matrix using Compute Unified Device Architecture (CUDA) is described. Solution of LCES is realized on Graphics Processing Unit (GPU) instead of Central Processing Unit (CPU). CUDA is a parallel computing architecture developed by NVIDIA. Linear Circuits include resistance, impedance, capacitance, dependent - independent current sources and DC, AC voltage source. In this study, solutions of circuits that include resistance, independent current sources and DC voltage source have analyzes. Circuit analysis frequently involves solution of linear simultaneous equations that are solved Gauss-Jordan Elimination Method in this study. Gauss-Jordan Elimination is a variant of Gaussian Elimination that a method of solving a linear system equations (Ax=B). Gauss-Jordan Elimination is an algorithm for getting matrices in reduced row echelon form using elementary row operations. Gaussian Elimination has two parts. The first part (Forward Elimination) reduces a given system to triangular form. The second step uses back substitution to find the solution of the triangular echelon form system Because of elements of unknowns column matrix are dependent on each other, second step algorithm is not appropriate for parallel programming. Two parts of Gauss–Jordan Elimination are not like Gaussian Elimination's part so it is preferred. GPU implementation is more faster than solution of linear equation systems on CP

Measurement of Membership Functions: Theoretical and Empirical Work

Since Zadeh (1965} introduced the notion of fuzzy sets one of the main difficulties has been with the meaning and measurement of membership functions. Particularly, lack of a consensus on the meaning of membership functions has created some confusion. We first start with the formal (i.e., mathematical) definition of a membership function and provide a survey on the interpretations and measurement of membership functions

Measurement-Theoretic Frameworks for Fuzzy Set Theory

. Two different but related measurement problems are considered within the fuzzy set theory. The first problem is the membership measurement and the second is property ranking. These two measurement problems are combined and two axiomatizations of fuzzy set theory are obtained. In the first one, the indifference is transitive but in the second one this drawback is removed by utilizing interval orders. 1 Introduction and Preview Zadeh (1965) introduced the idea of a fuzzy set as a representation of fuzziness that stems from limited cognitive abilities of human beings when confronted with complex systems. Fuzziness is, for example, undeniably inherent in natural language. Although the concept of graded membership appears straightforward at first, there are subtle questions to be answered: (i) How is graded membership measured? (ii) What operations are meaningful to perform on membership functions? (iii) Do the membership function and operations performed on it correspond to our percepti..

Mycological contamination in dental unit waterlines in Istanbul, Turkey

Studies on dental units (DUs) are conducted either for the prevention or the reduction of the density of bacterial contamination in dental unit waterlines (DUWLs). However, the existence of fungi in the these systems requires more attention. During dental treatment, direct contact with water contaminated with fungi such as Candida, Aspergillus, or inhalation of aerosols from high-speed drill may cause various respiratory infections, such as asthma, allergies, and wounds on mucose membranes, especially on immunocompromised patients and dentists. The aims of this study are to investigate the number and colonization of fungi in DUWLs in the city of Istanbul, Turkey. Water samples were collected from air-water syringes, high-speed drills, and inlet waters from 41 DUs. The aerobic mesophilic fungi count in highspeed drills was higher than inlet waters and air-water syringes. Non-sporulating fungi were found in 7 DUs. The isolated fungi were identified as Penicillium waksmanii, Cladosporium spp., Penicillium spp., Candida famata, Cryptococcus laurentii, Candida guilliermondii, Penicillium verrucosum, Aspergillus pseudoglaucus, Penicillium decumbens, and Acremonium sp. Some of these fungal genera are known as opportunistic pathogens that led to respiratory diseases such as allergic rhinits. This study shows the importance of regular control of mycological contamination on water at DUs

A sensitive, fast, selective, and reusable enzyme-free glucose sensor based on monodisperse AuNi alloy nanoparticles on activated carbon support

In this study, a glucose sensor modified with activated carbon supported gold-nickel (AuNi@AC) metal nanoparticles was prepared for the early diagnosis of diabetes. Electrochemical tests were carried out by determining the optimum working conditions of the prepared glucose sensor. The characterization analyses of the designed glucose sensor were performed by Transmission Electron Microscopy (TEM), X-Ray Diffraction (XRD), X-Ray Photoelectron Spectroscopy (XPS) and Raman Spectroscopy. It was determined that the average particle size of the nanoparticles in the AuNi alloy structure was 2.03 +/- 0.37 nm. The determined detection limit of the AuNi@AC nanosensor was calculated as 0.41 mu M as a result of the high linear range provided up to 1.7 mM. In addition, the sensitivity of AuNi@AC nanosensor to glucose, which has a high sensitivity value of 1955 mu A mM-1 cm-2, was determined

Mesoporous Materials in Biofuel Cells

WOS: 000458589000007In biological systems, the conversion of chemical energy into electrical energy exhibited the importance of biological fuel cells. Thus, studies on the use of microbes and enzymes in fuel cell devices have recently increased. Reduced fossil resources and damage to the environment have led to an increase in the search for new energy sources. Electric energy can be obtained by using microbial and enzymes in fuel cells. The efficiency and durability of the material to be used in cathodic and anodic electrodes enable the efficient use of the biofuel cell. It is very important to know the properties of the membrane materials that provide ion transfer between the cathode and the anode. So, the characteristics of the materials used in these fuel cells, which can be expressed as biological fuel cells, affect the energy efficiency. This chapter is aimed to report recent developments in microbial fuel cells, enzymatic fuel cells and carbon-based fuel cells and the materials used in these fuel cells

Synthesis of benzylidenemalononitrile by Knoevenagel condensation through monodisperse carbon nanotube-based NiCu nanohybrids

Monodisperse nickel/copper nanohybrids (NiCu@MWCNT) based on multi-walled carbon nanotubes (MWCNT) were prepared for the Knoevenagel condensation of aryl and aliphatic aldehydes. The synthesis of these nanohybrids was carried out by the ultrasonic hydroxide assisted reduction method. NiCu@MWCNT nanohybrids were characterized by analytical techniques such as X-ray diffraction (XRD), X-ray photoelectron spectroscopy (XPS), transmission electron microscopy (TEM), high-resolution transmission electron microscopy (HR-TEM), and Raman spectroscopy. According to characterization results, NiCu@MWCNT showed that these nanohybrids form highly uniform, crystalline, monodisperse, colloidally stable NiCu@MWCNT nanohybrids were successfully synthesized. Thereafter, a model reaction was carried out to obtain benzylidenemalononitrile derivatives using NiCu@MWCNT as a catalyst, and showed high catalytic performance under mild conditions over 10-180 min.Dumlupinar UniversityDumlupinar University [2014-05, 2015-35, 2015-50]; Duzce UniversityDuzce University [2015.26.04.371]The authors would like to thank Dumlupinar University (2014-05, 2015-35, and 2015-50) and Duzce University (grant no. 2015.26.04.371) for funding.WOS:0005563883000122-s2.0-85088705103PubMed: 3272817