JOURNAL OF THE NIGERIAN ASSOCIATION OF MATHEMATICAL PHYSICS

ABSTRACT OF VOL. 15 NOV, 2009

 

   

  1. On the group structure and root system of SLn over a field

  2. Number of permutations with a given cycle structure

  3.   A note on connected simple graph of order n ≥ 4

  4.  Class of intersection numbers of a homomorphic image in the study of difference sets with order 49

  5.  Complex analytic dynamics: A modern perspective of iteration in QUOTE

  6. Effects of static pre-loading on the dynamic stability of a column on nonlinear foundations stressed by a step load

  7.  Perturbation appraisal of the dynamic buckling of an elastic model structure pressurized by a slowly varying load

  8. Torsional vibration of thin-walled elastic beams with doubly-symmetric cross-sections traversed by concentrated masses

  9. Continuous implicit method for the solution of general second order ordinary differential equations

  10. Numerical computation of the optimal control model of higher-order nondispersive wave with the extended conjugate gradient algorithm

  11.  Computational procedures for implementing the optimal control problem of higher-order nondispersive wave using the extended conjugate gradient algorithm

  12. Application of modified power series method for the solution of system of differential equations

  13.  Null controllability of nonlinear neutral volterra integrodifferential systems with infinite delay

  14.  Some basic tests on time series outliers

  15. Multivariate semi-logistic distribution and processes

  16.  On full order autoregressive model fitting

  17. Flow in a triangular open channel with hydraulic jump

  18.  Viscous dissipation effect on the flow through a horizontal porous channel with temperature dependent viscosity

  19.  A flow in a trough: An integral equations formulation

  20. The role of Coulomb interaction in the structural formation of molten Ytterium chloride

  21.  First-principle calculation of SP3 hybridization and bonding in diamond-structure semiconductor crystals

  22.  Computation of the Skyrme–Hartree–Fock equations in the Cartesian deformed harmonic-oscillator basis

  23.  Evaluation of n + 16Fe reaction cross section at 14MeV incident energy

  24.  Evaluation of the contributions of 232Th and its progenies to the ingestion dose coefficients

  25. Effects of both wellbore and reservoir properties on pressure and pressure derivative distribution of a horizontal well subject to complete external fluid drive

  26.   The use of source and Green’s functions to model pressure distribution in a bounded layered reservoir with lateral wells, Part II: General solutions

  27. Groundwater and contaminant flow modelling in Olomoro area of Delta State

  28. The use of material balanced equation to determine the oil water contact of an oil reservoir

  29. Estimation of transport and degradation parameters for naphthalene and anthracene: Influence of mass transfer on kinetics

  30.  The structure of white dwarf stars

  31. Gravitational time dilation and length contraction in fields exterior to static oblate spheroidal mass distributions

  32.  On a dynamic costs optimality for a production company

  33.  The dynamics of stock price and determination of investor’s cash flows valuation.

  34.  Pack nitriding of aluminium using cassava waste

  35.  On congruence lattices

  36. Finitely generated commutative Noetherian semigroups

  37. Three classes of Ermakov systems and nonlocal symmetries

  38.   Effective valence as the control parameter of the superconducting iron pnictide Tc

  39. Numerical calculation of the ground state of Helium atom using Hyllerass algorithm

  40.  The transmission properties of the motion of the oval and round windows

  41. An investigation of groundwater by geoelectrical resistivity method: A case study in Ugbogui, Ovia South West Local Government Area, Edo State

  42.  Velocity profile and subsurface stratification in oil and gas exploration in parts of Niger Delta Nigeria

  43.  The effect of ZnS thin film’s electrical conductivity on electromagnetic wave propagated through it

  44.   The study of the optical properties of copper based chalcopyrite semiconductors

  45.  Optical characteristics of crystalline antimony sulphide (Sb2S3) thin film

  46.  Embedded confusion matrix in Fuzzy logic for system appraisal

  47.  Application of Neuro-Fuzzy to palm oil production process.

  48. A rational second order difference equation with convergence solutions

  49.  A bagging approach to network intrusion detection

  50.  Oscillatory behaviour of solutions of linear neutral differential equations with several time lags driven by space-time noise

  51.  Control derivative to optimal control analysis

  52.  Marshall-Olkin multivariate semi-logistic distribution and minification processes

  53.  Batch arrival discrete time queue with gated vacation system

  54.  Simulated queues in dynamic situations

  55.  Modelling atmospheric temperature rise due to pollutants and its implications on agriculture

  56.  On the Arrhenius reacting flow over a stretching sheet in the presence of magnetic field

  57. A note on the effect of affinity hemodialysis on T-cell depletion

  58.  Influence of power-law exponent on an unsteady endothermic reaction

  59.  Effect of slip velocity on oscillatory MHD flow of stretched surface with radiative heat transfer and variable suction

  60.  Second law analysis of slip velocity on oscillatory MHD flow of stretched surface with radiative heat transfer and variable suction

  61.  Entropy generation in MHD flow of a uniformly stretched vertical permeable surface under oscillatory suction velocity

  62.  Unsteady MHD free convection flow and heat transfer along an infinite vertical porous plate under Arrhenius kinetics

  63.  MHD flow and heat transfer of a viscous reacting fluid over a stretching sheet

  64.  MHD free convection flow past an oscillating plate in the presence of heat generation/absorption and chemical reaction

  65.  Analytical solution of mass transfer effects on unsteady flow past an accelerated vertical porous plate with suction

  66.  A numerical study of the hemodynamics of stenosed artery

  67.  Effect of couple stresses on hydromagnetic flow of blood through a stenosed coronary artery

  68.  Properties of steady solutions of a reacting non-Newtonian viscous MHD poiseuille flow

     

     

     

     

 

 

 

 

 

 

 

 

 

 

1)

Journal of the Nigerian Association of Mathematical Physics

Volume 15 (November, 2009), pp 1 - 4

© J. of NAMP

 

 On the group structure and root system of SLn over a field

 H. Praise Adeyemo

Department of Mathematics,

University of Ibadan, Nigeria

 

Abstract

 

Given a commutative field F, the Whitehead functor K1 and Steinberge functor K2 are closely related to the theory of general linear group through exact sequences of groups. In this paper, the group structure of SLn over a field F is closely examined and its root system is computed.  Only the case n = 3 is considered.

Keywords: Special linear group, root system, cartan integer. MSC: 17BXX, 17B20

2)

Journal of the Nigerian Association of Mathematical Physics

Volume 15 (November, 2009), pp 5 - 8

© J. of NAMP

 Number of permutations with a given cycle structure

1Ali Bashir and 2M. S. Audu

1Department of Mathematics, Nigerian Defence Academy, Kaduna, Nigeria

2Department of Mathematics, University of Jos, Jos, Nigeria

 

Abstract

 

Let Xn be an n-element set. We give an alternative proof of Cauchy’s theorem for the number of permutations with a given cycle structure in Xn.

Keywords: Combinations, Permutations, cyclic-permutation, even (odd) permutation, symmetric group, alternating group.

2000 AMS Subject Classification: 20M18, 20M20, 05A10, 05A15.

 

3)

Journal of the Nigerian Association of Mathematical Physics

Volume 15 (November, 2009), pp 9 - 12

© J. of NAMP

  A note on connected simple graph of order n ≥ 4

1Tayo Charles Adefokun and 2Kingsley Nosa Onaiwu

1Department of Computer and Mathematical Sciences.

2Department of Physical and Earth Sciences

Crawford University, Igbesa, Ogun State, Nigeria.

 

 

 

Abstract

In this paper, we investigate the existence of a class of connected simple graph, G, with , equipped with a special degree sequence, using Euler’s Handshaking lemma [5].  We show that a graph of order, ,  with degree sequence d(v1) = n - 1, d(v2) = n - 2, … d(vn-1) =1, d(vn) = 1, , does not exist at the moment . Furthermore we show that it does exist for smaller graphs and why this is so.

 

Keywords: Connected graphs; simple graphs; Handshaking lemma; degree sequence

 

4)

Journal of the Nigerian Association of Mathematical Physics

Volume 15 (November, 2009), pp 13 - 26

© J. of NAMP

 Class of intersection numbers of a homomorphic image in the study of difference sets with order 49

 Adegoke S. Osifodunrin

Department of Mathematics,

University of Lagos, Lagos, Nigeria

 

 

Abstract

The investigation of difference sets involves the computation of intersection numbers of homomorphic images of the underlying group.  Up to compliments, there are fifteen difference set parameters with order 49 but only three of these parameter sets, namely, (400, 57, 8), (280, 63, 14) and (220, 73, 24) satisfy v ≡ 0 mod 20. In this paper, we demonstrate how to construct difference set images for these parameter sets in Frobenius group of order 20, Frob(20). We also conclude that if Gis a group of order 220 with factor group H that is isomorphic to Frob(20) then Gdoes not admit (220, 73, 24) difference sets.

 

Keywords: Difference sets, symmetric designs, affine plane, representations and groups

                              AMS subject classifications: 05B10 and 05B20

 

5)

Journal of the Nigerian Association of Mathematical Physics

Volume 15 (November, 2009), pp 27 - 36

© J. of NAMP

 Complex analytic dynamics: A modern perspective of iteration in QUOTE  

K. B. Yuguda

Department of Mathematics,

Nigerian Defence Academy,

P.M.B. 2019, Kaduna, Nigeria

  

Abstract

In this paper an exhaustive survey of complex analytic dynamics is presented, highlighting in the process significant evolutionary trends the subject has undergone right from the local, down to the global theories. The exponential function  QUOTE   is then used as a classical example of an entire transcendental function to illustrate new phenomenon of modern perspectives of iteration in   QUOTE