Journal of Advances in Mathematics and Computer Science 2021-01-28T11:59:23+00:00 Journal of Advances in Mathematics and Computer Science Open Journal Systems <p style="text-align: justify;"><strong>Journal of Advances in Mathematics and Computer Science (ISSN:&nbsp;2456-9968) </strong>aims to publish original research articles, review articles and short communications, in all areas of mathematics and computer science. Subject matters cover pure and applied mathematics, mathematical foundations, statistics and game theory, use of mathematics in natural science, engineering, medicine, and the social sciences, theoretical computer science, algorithms and data structures, computer elements and system architecture, programming languages and compilers, concurrent, parallel and distributed systems, telecommunication and networking, software engineering, computer graphics, scientific computing, database management, computational science, artificial Intelligence, human-computer interactions, etc. This is a quality controlled, OPEN peer reviewed, open access INTERNATIONAL journal.</p> Test of Unit Root for Bounded AR (2) Model 2021-01-21T10:00:28+00:00 Sayed Meshaal El-Sayed Ahmed Amin EL- Sheikh Mohammed Ahmed Farouk Ahmed <p>In this paper, the test of unit root for bounded AR (2) model with constant term and dependent errors has been derived. Asymptotic distributions of OLS estimators and t-type&nbsp; statistics under different tests of hypotheses have been derived. A simulation study has been established to compare between different tests of the unit root. Mean squared error (MSE) and Thiel's inequality coefficient (Thiel’s U) have been considered as criteria of comparison.</p> 2020-12-30T00:00:00+00:00 ##submission.copyrightStatement## Some Geometry of Affine Immersion of General Co-dimension 2021-01-28T11:59:23+00:00 Silas Longwap Homti E. Nahum Gukat G. Bitrus <p><span class="fontstyle0">After a careful study of some works of servaral authors on affine immersion of co-dimension one&nbsp;[1], co-dimension two [2], co-dimension three [3] and co-dimension four [4], we extend some of&nbsp;thier fundamental equations to affine immersion of genaral co-dimension </span><span class="fontstyle2">p</span><span class="fontstyle0">. Furthermore, we&nbsp;extend some theorem of Frank Dillen at el in [5] to affine immersion of general co-dimension and&nbsp;obtain the divisibility of the cubic forms by the second fundamental forms.</span> </p> 2020-12-30T00:00:00+00:00 ##submission.copyrightStatement##