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Journal of Advances in Mathematics and Computer Science

Published by SCIENCEDOMAIN international · ISSN (electronic) 2456-9968

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465

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2026 articles

465

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988

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Articles (465)

Root Systems, Cartan Matrix and Dynkin Diagrams in Classification of Lie Algebras

Um Salama Ahmed Abdulla Alemam & Mohamed Alamin Abdalla Hamid Ahmed · Journal of Advances in Mathematics and Computer Science · 2018

This review paper deals with Lie algebras, with some concentration on root systems, which help in classification and many applications of symmetric spaces. We deal with the basic concept of a root system. First, its origins in the theory of Lie algebras are exposed, then an axiom...

Open access Research Article 10.9734/JAMCS/2018/38568

An Exposition of the Eight Basic Measures in Diagnostic Testing Using Several Pedagogical Tools

Ali Muhammad Ali Rushdi & Fayez Ahmad Talmees · Journal of Advances in Mathematics and Computer Science · 2018

Diagnostic testing concerning categorical or dichotomized variables is ubiquitous in many fields including, in particular, the field of clinical or epidemiological testing. Typically, results are aggregated in two-by-two contingency-table format, from which a surprisingly huge nu...

Open access Research Article 10.9734/JAMCS/2018/39367

Generalized Frequency Re-use Ratio for Uniform and Non-uniform Cell Range in Telecommunication Network Design

Elvis K. Donkoh, James Adu Ansere & Samuel G. Apau · Journal of Advances in Mathematics and Computer Science · 2018

GSM network design requires efficient interference management technique, which offers significant capacity enhancement and improves cell edge coverage with low complexity of implementation. This is done by assigning different frequencies to adjacent cells to avoid interference or...

Open access Research Article 10.9734/JAMCS/2018/39362

E-Bayesian Estimation of Two-Component Mixture of Inverse Lomax Distribution Based on Type-I Censoring Scheme

Hesham M. Reyad & Soha A. Othman · Journal of Advances in Mathematics and Computer Science · 2018

This study is concerned with comparing the E-Bayesian and Bayesian methods for estimating the shape parameters of two-component mixture of inverse Lomax distribution based on type-i censored data. Based on the squared error loss (SELF), minimum expected loss (MELF), Degroot loss...

Open access Research Article 10.9734/JAMCS/2018/39087

Design of a Digital Circuit for Integer Factorization via Solving the Inverse Problem of Logic

Ali Muhammad Ali Rushdi & Sultan Sameer Zagzoog · Journal of Advances in Mathematics and Computer Science · 2018

In standard problems of digital circuit design, a switching function (two-valued Boolean function) is specified declaratively as a (usually incomplete) asserted relation R(X,Z), or equivalently as an equation R(X,Z) = 1, where X and Z are inputs and outputs, respectively. To obta...

Open access Research Article 10.9734/JAMCS/2018/39285

The (P-A-L) Modified Weibull Distribution

Mahmoud R. Mahmoud, Rasha M. Mandouh & Marwa M. Hamada · Journal of Advances in Mathematics and Computer Science · 2018

This paper presented The (P-A-L) Modified Weibull Distribution. We can compute several properties of this distribution. The maximum likelihood estimators are obtained. Using simulation study, mean, relative bias, root and scaled mean square error for maximum likelihood estimators...

Open access Research Article 10.9734/JAMCS/2018/39023

Relations between Various Magnitudes Which Serve as Signs of a Right-angled Triangle

Moshe Stupel & Avi Sigler · Journal of Advances in Mathematics and Computer Science · 2018

We present a proven scheme of 15 relations between the sides of a triangle, the radii of incircles and excircles of the triangle, the area and half the perimeter of the triangle, which serve as signs of a right-angled triangle, together with the 16th relation which is the Pythago...

Open access Research Article 10.9734/JAMCS/2018/38654

Explicit Determinants and Inverses of Skew Circulant and Skew Left Circulant Matrices with the Pell-Lucas Numbers

Jinjiang Yao & Jixiu Sun · Journal of Advances in Mathematics and Computer Science · 2018

In this paper, we consider the skew circulant and skew left circulant matrices with the Pell-Lucas numbers. We discuss the invertibility of the skew circulant and skew left circulant matrices and present the determinant and the inverse matrix of them by constructing the transform...

Open access Research Article 10.9734/JAMCS/2018/38768