Department of Mathematics and PhysicsContains PDF journal articles for this departmenthttp://ir.tum.ac.ke/handle/123456789/1812024-07-25T03:21:40Z2024-07-25T03:21:40ZCOMPUTING FUZZY SUBGROUPS OF SOME SPECIAL CYCLIC GROUPSMakamba, BabingtonMunywoki, Michael M.http://ir.tum.ac.ke/handle/123456789/176002024-05-29T00:00:38Z2019-01-01T00:00:00ZCOMPUTING FUZZY SUBGROUPS OF SOME SPECIAL CYCLIC GROUPS
Makamba, Babington; Munywoki, Michael M.
In this paper, we discuss the number of distinct fuzzy subgroups of the group Zpn × Zqm × Zr, m = 1, 2, 3 where p, q, r are distinct primes for any n ∈ Z + using the criss-cut method that was proposed by Murali and Makamba in their study of distinct fuzzy subgroups. The criss-cut method first establishes all the maximal chains of the subgroups of a group G and then counts the distinct fuzzy subgroups contributed
by each chain. In this paper, all the formulae for calculating the number of these distinct fuzzy subgroups are given in polynomial form.
https://doi.org/10.4134/CKMS.c180341
2019-01-01T00:00:00ZOperator Equations, Operator Inequalities and Power Bounded Operators in Hilbert SpacesStephen, Ms Nyamusi DorcaKavila, Dr Mutiehttp://ir.tum.ac.ke/handle/123456789/175972024-05-28T00:00:50Z2017-11-01T00:00:00ZOperator Equations, Operator Inequalities and Power Bounded Operators in Hilbert Spaces
Stephen, Ms Nyamusi Dorca; Kavila, Dr Mutie
This is a study on some operator equations, operator inequalities and power bounded operators in Hilbert
spaces. Looking at the operator equation TW = WS various properties on T, W and S such as; quasinormal, posinormal, hyponormal among others are satisfied, also on some operator inequalities the equivalence of constability of sequences of norms and its decomposition among other results are shown.
2017-11-01T00:00:00ZA little more on ideals associated with sublocalesIghedo, O.Kivunga, G.W.Stephen, D.N.http://ir.tum.ac.ke/handle/123456789/175952024-05-28T00:00:38Z2024-01-01T00:00:00ZA little more on ideals associated with sublocales
Ighedo, O.; Kivunga, G.W.; Stephen, D.N.
As usual, let RL denote the ring of real-valued continuous functions on a completely regular frame L. Let βL and λL denote the StoneCech compactification of ˇ L and the Lindel¨of coreflection of L, respectively. There is a natural way of associating with each sublocale of βL two ideals of RL, motivated by a similar situation in C(X). In [12], the authors go one step further and associate with each sublocale of λL an ideal of RL in a manner similar to one of the ways one does it for sublocales of βL. The intent in this paper is to augment [12] by considering two other coreflections; namely, the realcompact and the paracompact coreflections.
We show that M-ideals of RL indexed by sublocales of βL are precisely the intersections of maximal ideals of RL. An M-ideal of RL is grounded in case it is of the form MS for some sublocale S of L. A similar definition is given for an O-ideal of RL. We characterise M-ideals of RL indexed by spatial sublocales of βL, and O-ideals of RL indexed by closed sublocales of βL in
terms of grounded maximal ideals of RL.
https://doi.org/10.48308/cgasa.20.1.175
2024-01-01T00:00:00ZModelling Turbulence Using the Staggered Grid and Simplec MethodKIMUNGUYI, J. K.GATHER, F. K.AWUOR, K. O.http://ir.tum.ac.ke/handle/123456789/174992024-03-01T00:00:49Z2020-05-01T00:00:00ZModelling Turbulence Using the Staggered Grid and Simplec Method
KIMUNGUYI, J. K.; GATHER, F. K.; AWUOR, K. O.
In a natural convection, local density
differences and a resulting pressure gradient accelerate
the fluid. In this paper a numerical study of a turbulent,
natural convection problem is performed with an
incompressible fluid in a rectangular enclosure. At the
heated wall, the temperature distribution is a function
of temperature gradients. The objective of this study is
to conduct a numerical investigation of turbulent
natural convection in a 3-D cavity using the staggered
grid and the SIMPLEC method. The statisticalaveraging process of the mass, momentum and energy
governing equations introduces unknown turbulent
correlations into the mean flow equations which
represent the turbulent transport of momentum, heat
and mass, namely Reynolds stress () and heat flux (),
which are modeled using k- SST model. The ReynoldsAveraged Navier-stokes (RANS), energy and k- SST
turbulent equations are first non-dimensionalized and
the resulting equations are discretized using a staggered
and solved using SIMPLEC. From the results, both the
experimental data and simulation using the staggered
grid and SIMPLEC return a non-dimensional
temperature of 0.5 at the core of the cavity and almost
zero towards the cold and the natural turbulence flow is
responsible for temperature distribution. Further,
convective mass exchange is dominant in the centre of
the enclosure. The investigated Rayleigh number of this
study lies at Ra = 1.58.
2020-05-01T00:00:00Z