School of Mathematics and Statistics

Permanent URI for this collectionhttps://koha2.tukenya.ac.ke/handle/123456789/878

Browse

Recent Submissions

Now showing 1 - 7 of 7
  • No Thumbnail Available
    Item
  • No Thumbnail Available
    Item
    On the cycle indices of frobenious groups
    (2010) Munywoki, Michael; Kamuti, Ireri; Kivunge, Benard
    There are several very useful formulas, which give the cycle indices of the binary operation of the sum, product, composition and po wer group of M and H in terms of cycle indices of M and H . One very useful binary operation on groups, which has not been exploited, is the semidirect product. Suppose G = M ⋊ H , a semi direct product; the question is: how can we express the cycle index of G in terms of the cycle indices of M and H ? This work partially answers this question by considering the cycle indices of so me particularly semidirect product groups; namely – Frobenious groups
  • No Thumbnail Available
    Item
    LIMITATIONS IN THE CONVECTIONAL ISBN - 10 CODE
    (2012) Kamaku, Waweru; Mwathi, Cecilia; Kivunge, Bernard
    The I nternational S tandard B ook N umber system (ISBN - 10) which was in operation until 2007 uniquely identified every book published internationally but was later replaced with the ISBN - 13 . The code was had the ability to detect and correct single errors, to detect and correct some transposition errors and also d etect multiple errors. This paper discusses some major limitations in the code and shows how error detection and correction capabilities affected the total dictionary on the code. The paper then shows the great need that lead to the development of the ISBN
  • No Thumbnail Available
    Item
    Subloops of sedenions
    (2004) Kivunge, Benard M; Smith, Jonathan D. H
    This note investigates sedenion multiplication from the st andpoint of loop the- ory. New two-sided loops are obtained within the version of t he sedenions introduced by the second author. Conditions are given for the satisfactio n of standard loop-theoretical identities within these loops.
  • No Thumbnail Available
    Item
    The nonnegative P 0 -matrix completion problem.
    (2003) Choi, Ji Young; Dealba, Luz Maria; Hogben, Leslie; Kivunge, Benard M; Nordstrom, Sandra K; Shedenhelm, Mike
    In this paperthe nonnegative P 0 -matrix completion problem is considered. It is shown that a pattern for 4 × 4 matrices that includes all diagonal positions has nonnegative P 0 - completion if and only if its digraph is complete when it has a 4-cycle. It is also shown that any positionally symmetric pattern that includes all diagonal positions and whose graph is an n -cycle has nonnegative P 0 -completion if and only if n =4.
  • No Thumbnail Available
    Item
    Magnetohydrodynamic (MHD) Free Convective Flow past an Infinite Vertical Porous Plate with Joule Heating
    (2013) Sigey, K. Johana; Okelo, A. Jeconia; Gatheri, K. Francis; Ngesa, O. Joel
    This work addresses the problem of Magnetohydrodynamic laminar unsteady flow of an incompressible electrically conducting fluid past an infinite vertical porous plate. It investigates how joule heating affects the velocity and temperature profiles of the fluid flow subjected to transverse magnetic field. The research examines specific equations of MHD flow which are solved numerically by finite difference approximations, using computer programme. The numerical results of this study reveal that an increase in joules heating parameter causes an increase in the velocity and temperature profiles uniformly near the plate but remain constantly distributed away from the plate, implying that the flow field of the MHD free convective flow is influenced substantially by the strength of Joules heating near the wall of the plate and at the mainstream
  • No Thumbnail Available
    Item