Mathematics

Permanent URI for this collectionhttps://irepos.unijos.edu.ng/handle/123456789/11436

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End date: 2019

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    On Cyclic Codes of Odd Lengths from the Stable Variety of Regular Cayley Graphs
    (Mathematics and Statistics, 2018) Chun P.B; Ibrahim A.A; Kamoh N.M
    The use of the adjacency matrix of a graph as a generator matrix for some classes of binary codes had been reported and studied. This paper concerns the utilization of the stable variety of Cayley regular graphs of odd order for efficient interconnection networks as studied, in the area of Codes Generation and Analysis. The Use of some succession scheme in the construction of a stable variety of the Cayley regular graph had been considered. We shall enumerate the adjacency matrices of the regular Cayley graphs so constructed which are of odd order as in [1]. Next, we would show that the Matrices are cyclic and can be used in the generation of cyclic codes of odd lengths.
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    C++ Codes for the Implementation of Determining and Controllability Matrices, Cardinality and Controllability Rank Conditions for A Class of Double - Delay Control Systems
    (International Journal of Engineering Science and Computing, 2016-06) Ukwu Chukwunenye; Obiorah Mmachi
    As dictated by practical exigencies, this research article designed and developed extensive C++ codes for the implementation of determining matrices, controllability matrices, cardinality and controllability rank conditions, for a class of double - delay control systems, thereby averting the prohibitive manual computations associated with such mathematical objects. With these results, the interrogation of the controllability disposition of this class of functional differential control systems can be accomplished with astounding swiftness, in turn, providing the much desired implementation paradigm shift.
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    ENHANCING THE TEACHER PROFESSION: KEY TO REVAMPING THE EDUCATION SECTOR IN NIGERIA
    (Academic Research International, 2013) N. M. Kamoh1 , L. S. Ughili2 , A. A. Abada
    Education is a living concept that continues to grow and develop on daily basis. The paper looked at necessary steps needed to enhance the teaching profession. Questionnaire was administered to 1000 males and females respondents. The data was analyzed using standard deviation method, the results (tables I & II) indicated high standard deviations (σ) of 38.16 and 107.83 respectively, revealing that, the factors are independent of one another. A number of challenges were identified and discussed. The research concluded with a number of far-fetched recommendations. Improved remunerations; regular payment of salaries and improved fringe benefits, among others can greatly motivate and enhance the teaching profession.
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    HIGH ORDER A-STABLE BLOCK ETR2s AND THEIR APPLICATION TO SYSTEM OF FIRST ORDER ODES
    (Leena and Luna International, Chikusei, Japan, 2014) Awari, Y.S.; Garba, E.J.D.; Kumleng, G.M
    An eighth order block Extended Trapezoidal Rule of Second kind (ETR2s) is presented for the numerical integration of stiff system of first-order ordinary differential equations. In the derivation process, we adopt the power series approach which leads to a system of equations that would be solved simultaneously in block form to generate approximate solution for the differential equations. The stability properties of the method are also presented. Some test, reported to emphasize pros and cons of the method.
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    COMMENTARIES ON HILBERT’S BASIS THEOREM
    (_SCIENCE WORLD JOURNAL, 2008) APINE, E; JELTEN
    The famous basis theorem of David Hilbert is an important theorem in commutative algebra. In particular the Hilbert’s basis theorem is the most important source of Noetherian rings which are by far the most important class of rings in commutative algebra. In this paper we have used Hilbert’s theorem to examine their unique properties which will help us to understand some of the characteristics of the Noetherian rings.