Archive:: Mathematics and Computer Science:: Science Publishing Group

Volume 1, Issue 3, September 2016

I-Statistically Pre-cauchy Triple Sequences of Fuzzy Real Numbers

Sangita Saha, Bijan Nath, Santanu Roy

Issue: Volume 1, Issue 3, September 2016

Pages: 36-43

Received: 14 August 2016

Accepted: 30 August 2016

Published: 18 September 2016

DOI: 10.11648/j.mcs.20160103.11

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Abstract: In this article, using Orlicz function, the concept of I-statistically pre-Cauchy sequence of fuzzy real numbers having multiplicity greater than two is introduced. A necessary and sufficient condition for a bounded triple sequence of fuzzy real numbers to be I-statistically Cauchy is established. It is also shown that an I-statistically convergent... Show More

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A New Algorithm for Solving Nonlinear Equations by Using Least Square Method

Nasr Al Din Ide

Issue: Volume 1, Issue 3, September 2016

Pages: 44-47

Received: 22 August 2016

Accepted: 31 August 2016

Published: 18 September 2016

DOI: 10.11648/j.mcs.20160103.12

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Abstract: Finding the roots of nonlinear algebraic equations is an important problem in science and engineering, later many methods have been developed for solving nonlinear equations. These methods are given [1-27], in this paper, a new Algorithm for solving nonlinear algebraic equations is obtained by using least square method by fitting a polynomial form ... Show More

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Discussion on Borehole Wave Modes Excited by Two Types of Acoustic Logging While Drilling Sources

Kuo Zhang

Issue: Volume 1, Issue 3, September 2016

Pages: 48-55

Received: 6 September 2016

Accepted: 19 September 2016

Published: 29 September 2016

DOI: 10.11648/j.mcs.20160103.13

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Abstract: In this paper, we extend the Real Axis Integration (RAI) method and improve the Finite Difference Time Domain (FDTD) method to investigate the wave fields excited by the monopole and multipole Acoustic Logging While Drilling (ALWD) sources with low and high center frequencies. We simulate the two traditional kinds of source exerting methods by both... Show More

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On A-Self-Adjoint, A-Unitary Operators and Quasiaffinities

Isaiah N. Sitati

Issue: Volume 1, Issue 3, September 2016

Pages: 56-60

Received: 8 August 2016

Accepted: 18 August 2016

Published: 7 September 2016

DOI: 10.11648/j.mcs.20160103.14

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Abstract: In this paper, we investigate properties of A-self-adjoint operators and other relations on Hilbert spaces. In this context, A is a self-adjoint and an invertible operator. More results on operator equivalences including similarity, unitary and metric equivalences are discussed. We also investigate conditions under which these classes of operators ... Show More

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Least Absolute Integral Method of Data Fitting Based on Algorithm of Simulated Annealing and Neural Network

Maolin Cheng

Issue: Volume 1, Issue 3, September 2016

Pages: 61-65

Received: 5 September 2016

Accepted: 18 September 2016

Published: 9 October 2016

DOI: 10.11648/j.mcs.20160103.15

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Abstract: There are many methods related to data fitting, and each method has its distinctive features. The article discusses the method of data fitting function under integral criterion. Since the estimate fitting parameters are complicated, the article combines algorithm of simulated annealing and neural network algorithm to solve the integral with neural ... Show More

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