School of Mathematics and Statistics

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    ON SOME PROPERTIES AND LIMITATIONS IN THE ISBN-13 CODE
    (2012) Kamaku, P. Waweru; Kivunge, Bernard; Wangeci, Cecilia
    The International Standard Book Number system-13 (ISBN-13 ) is a thirteen digit code which uniquely identifies every book pub lished internationally. The code was formed as an improvement to the ISBN-10 code whic h could detect and correct some errors but could generate fewer code words t hus the great need for expansion. This paper highlights some properties, discuss es major limitations and shows the error detection and correction capabilities in th e code versus the effect the total number of code words that the code can generate.
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    Suborbits and Suborbital Graphs of the Symmetric Group acting on Ordered r-element Subsets
    (2013) Rimberia, Jane; Kamuti, Ireri; Kivunge, Bernard; Kinyua, Francis
    The ranks and subdegrees of the symmetric group n S acting on [ ] r X , the set of all ordered r -element subsets from X have been studied (See Rimberia [4]). In this pape r, we examine some properties of suborbits and suborbital graphs of n S acting on [ ] r X
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    Bounds for the Second Largest Eigenvalue of Real 3 × 3 Symmetric Matrices with Entries Symmetric about the Origin
    (2012) Barini, Geoffrey; Kivunge, Benard; Akanga, Jotham
    Let ASn[a,b] denote a set of all real nxn symmetric matrices with entries in the interval [a,b]. In this article, we present bounds for the second largest eigenvalue λ2(A) of a real symmetric matrix A, such that A∈AS3 [-b,b].
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    THE M_0 – MATRIX COMPLETION PROBLEM FOR DIGRAPHS OF 5×5 MATRICES WITH LESS THAN FOUR DIRECTED LINES
    (2013) Njoroge, James Mwangi; Kivunge, Benard; Muondwe, Samuel Kanyi; Kinyanjui, Anthony Muthondu
    A real matrix is said to be – matrix if its principal minors are non - negative and all its non - diagonal entries are non - positive. In this project, we consider the – matrix completion problem. It is shown that any digraph with less than four directe d lines which is not a cycle has – completion. It is further shown that digraph of matrix with less than four directed lines which is a cycle does not have – completion.
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    Magnetic Hydrodynamic Free Convective Flow past an Infinite Vertical Porous Plate
    (2012) Nyundo, Steven; Gatheri, K. Francis; Sigey, K. Johana
    A study of magnetic hydrodynamic free convective flow past an infinite vertical porous plate in an incompressible electrically conducting fluid is considered. The investigation of the effect of viscous dissipation on the velocity profiles and temperature distribution of the fluid in the presence of a transverse magnetic field subject to a constant suction velocity is conducted. The ordinary differential equations governing the flows are analyzed using an explicit finite-difference scheme and computer generated programs. The results are presented in graphical form showing the effects of the various parameters arising in the flow. The numerical results of the study show that an increase in the viscous dissipation causes an increase in the velocity profiles and temperature distribution of the fluid.