Mathematical Theory and Modeling
http://www.iiste.org/Journals/index.php/MTM
<p><span id="internal-source-marker_0.04939836589619517"><span id="internal-source-marker_0.04939836589619517">Mathematical Theory and Modeling </span>is a peer reviewed journal published by IISTE. The journal publishes original papers at the forefront of mathematical theories, modelings, and applications. The journal is published in both printed and online versions. The online version is free access and download.</span></p><p><span>IISTE is member of <a href="http://www.crossref.org/01company/17crossref_members.html">CrossRef</a>.<br /></span></p>en-USMathematical Theory and Modeling2224-5804Some Bounds For The Spectral Radius Of Hadamard Product & Kronecker Product Of Matrices.
http://www.iiste.org/Journals/index.php/MTM/article/view/36249
<p><strong> </strong>The main aim of this study was to discuss some bounds for the Spectral Radius of the Hadamard Product of matrices.</p> <p>This study presents several spectral radius inequalities for sums, product ( hadamard product), and comutators of matrices, and it exposes to some properties of the hadamard product and the relationship between hadamard product and kronecker product for spectral radius of matrix.</p> <p>Applications of these results are also given.</p> <p><strong>Keywords</strong>: Spectral Radius, Hadamard product, Kronecker Product<strong></strong></p>Alaa Mohammad Saeed Abu Alruz7Modelling Calcium Signal Intensity Difference Between Cells
http://www.iiste.org/Journals/index.php/MTM/article/view/36250
<p>Cell signaling involves the transmission of a signal from a sending cell to a receiving cell. Calcium ions (Ca<sup>2+</sup>) are a widely used type of messenger. In this study the evolution over time of calcium signal intensity and how these evolutions depend on the four groups of cells of subjects with different health condition was investigated. A longitudinal data analysis based on 110 subjects was used and to account non-linearity and correlated nature of the data, non-linear mixed model was used. Based on the exploratory data analysis result supported with CurveExpert professional software the model used has sigmoid structure. From the result, the rate of change of average signal intensity was nearly 0.033 and the time at which the rate of change of average calcium signal intensity reaches its maximum (i.e. the inflection point) was nearly 198 seconds. Furthermore, there were statistically significant differences in average calcium signal intensity between the groups. It is also observed that significant differences between mild hyperplasia and benign tumor patient’s cells and also between malignant tumor and healthy subject’s cells.</p> <p><strong>Keywords: </strong>Calcium, Cell Signaling, Non Linear Mixed Model, Random Effect, Signal Intensity</p>Kassu MehariSara Abera Bekele7On New Types of Weakly Nano Open Functions
http://www.iiste.org/Journals/index.php/MTM/article/view/36251
<p>In this paper, we must utilize the ideas of a-open and a-open sets to characterize some new types of weakly nano open functions such as; a-open functions, a*-open functions, a**-open functions, a-open functions, a*-open functions and a**-open functions. Also, we must explain the relationships between these types of weakly nano open functions and the concepts of nano open functions. Furthermore, we must prove some theorems, properties and remarks.</p> <p><strong>Mathematics Subject Classification (2010): </strong>54A05, 54B05.</p> <p><strong>Keywords:</strong> a-open sets, a-open sets, a-open functions, a*-open functions, a**-open functions, a-open functions, a*-open functions and a**-open functions.</p> <p> </p>Murtadha M. Abdulkadhim7On Rational Solutions for some systems
http://www.iiste.org/Journals/index.php/MTM/article/view/36252
<p>In this work, Laurent series expansion compared with definition of rational function is used to find rational solutions with N simple poles for some systems.</p>N. A. Al-Khairullah7Transmuted Kumaraswamy Exponentiated Inverse Rayleigh Distribution
http://www.iiste.org/Journals/index.php/MTM/article/view/36253
<p>A new family of distributions known as Transmuted Kumaraswamy Exponentiated Inverse Rayleigh distribution TKEIR is suggested and studied. Also f has a shape of well-known sub-models like the Inverse Rayleigh distribution, Kumaraswamy Inverse Rayleigh, the Kumaraswamy Exponentiated Inverse Rayleigh distribution Transmuted Kumaraswamy Inverse Rayleigh distribution, the Exponentiated Inverse Rayleigh distribution and Transmuted Inverse Rayleigh distribution. Some statistical properties of the recent distribution comprise its moments; moment generating function, hazard functions, and order statistic are derived. In general, maximum likelihood estimates of the model parameters are obtained. In practice comparisons of the TKEIR and its sub-models have been made.<strong> </strong>Results revealed that the new model is the best.<strong></strong></p> <p class="Default"><strong>Key words</strong>: Rayleigh, sub-models, moments, maximum likelihood, Moment generating function, Hazard rate function</p>ABDALLAH MAHMUOD MOHAMMED BADR7