Department of Mathematics and Physics
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The upper triangular algebra loop of degree 4
(Commentationes Mathematicae Universitatis Carolinae, 2014)A natural loop structure is defined on the set U4 of unimodular uppertriangular matrices over a given field. Inner mappings of the loop are computed. It is shown that the loop is nonassociative and nilpotent, of class ... 
THE NUMBER OF DISTINCT FUZZY SUBGROUPS OF THE GROUP r p q Z n × Z m × Z FOR DISTINCT PRIMES p, q, r AND + m, n ∈ Z
(Advances in Fuzzy Sets and Systems, 202204)The equivalence relation ‘~’ defined by Murali and Makamba is used to find the number of the distinct fuzzy subgroups of the group where p, q, r are distinct primes with m and n as positive integers. Using the crisscut ... 
COMPUTING FUZZY SUBGROUPS OF SOME SPECIAL CYCLIC GROUPS
(Communications of the Korean Mathematical Society, 2019)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 crisscut method that was proposed by Murali and ... 
Sum Construction of Automorphic Symmetric Balanced Incomplete Block Designs
(International Journal of Scientific Research in Mathematical and Statistical Sciences, 2020)Abstract In this study Sum construction method of automorphic symmetric balanced incomplete block designs has been presented in details. Efficiency of a test design used in the Sum construction of automorphic symmetric ... 
Augments Rapamycin in Expansion of Alpha Fetoprotein Antigen specific stem cell like memory T cells in Vitro
(Pan African Medical Journal, 201706)Alloreactive tumor specific T cells are important arsenals of the adaptive immune system in the fight against tumors. However, stem celllike memory T cells (Tscm) provide the key to effective elimination of tumor cells. ... 
Variability In Household’s Mean Income Along The Kenya’s Lake Victoria Ecosystem
(IOSR Journal of Economics and Finance (IOSRJEF), 2022)One of the ways of minimizing rural urban migration and subsequent population explosion in the urban centers is to create income earning opportunities in the rural areas. One of the valuable resources in Kenya is the ... 
Effects of MPesa adoption on financial performance of small and medium enterprises in Mombasa County
(International Journal of Social Science and Humanities Research, 201906)The general objective of this study was to assess the effects of MPESA adoption on financial performance of small and medium enterprises in Mombasa County. The specific objectives were to examine the effects of transaction ... 
Screening of New strains of sugarcane using Augmented Block Designs
(Mathematical Theory and Modeling, 2014)Sugar production has over time experienced a number of challenges, that is, the choice of the variety to plant; soil nutrients variation and market competition amongst others have greatly affected sugar production. ... 
Level and Perception of HIV Serostatus disclosure among people living with HIV in Mombasa County
(Journal of Medical Case Reports and Reviews, 20190810)Kenya is one of the countries in the sub Saharan Africa which has been worst hit by the HIV and AIDS epidermic. The government and the Non Gorvernmental Organizations have put in a lot of resources to contain andcontrol ... 
APPLICATION OF RCBD IN DETERMINING DEVIATION OF PRICES OF BASKET COMMODITIES IN SUPERMARKETS IN MOMBASA COUNTY
(Mathematical Theory and Modeling, 2018)ABSTRACT This study reveals the significant deviation, correlation and statistical significance and variance on the prices of the commodities charged by the four supermarkets in Mombasa County. A statistical model, ... 
Vernoa hildebranditii, Acacia stuhlmannii and Moringa oleifera Leaf and Rootbark Extracts Exhibit Antimicrobial Effects on Escherichia coli and Staphylococcus aureus Bacteria
(Multidisciplinary Journal of TUM, 2020)Infectious diseases are the main causes of morbidity and mortality worldwide. There is increasing concern of indiscriminate use of antibiotics and incidences of multiple antibiotic resistances in human pathogens. The ... 
Effect of social demography and medical nutrition therapy on cancer patients undergoing chemotherapy in Aga Khan Hospital Mombasa Kenya
(East African Medical Journal, 202010)Background: Cancer has become a global public health concern with an estimated incidence 12.7 million in 2008 and a million deaths from cancer in 2012. Previous studies have indicated that malnutrition was associated ... 
Multipole infinite series expansion of the Coulomb repulsion term using analytical spherical Bessellike functions
(AIP Advances, 2022)Special functions are particular mathematical functions which arise in the solutions of various classical problems in physics. The functions are quite useful in mathematical analysis. Mostly, they find applications in ... 
Nearexact nonrelativisticionization energies formanyelectron atoms
(Royal Society Open Science, 2022)Electron–electron interactions and correlations form the basis ofdifficulties encountered in the theoretical solution of problemsdealing with multielectron systems. Accurate treatment of theelectron–electron problem is ... 
Symmetrydependent analytical allelectron potential for helium atom
(Results in Physics, 20220720)Electron–electron interaction is the origin of the manybody problems usually encountered in physics and chemistry. Helium atom and other twoelectron systems are the simplest manybody systems in nature. The Schrödinger ... 
Multipole infinite series expansion of the Coulomb repulsion term using analytical spherical Bessellike functions
(AIP Advances, 20220701)Special functions are particular mathematical functions which arise in the solutions of various classical problems in physics. The functions are quite useful in mathematical analysis. Mostly, they find applications in ... 
Multipole expansion of integral powers of cosine theta
(Scientific reports  nature research, 2020)Legendre polynomials form the basis for multipole expansion of spatially varying functions. The technique allows for decomposition of the function into two separate parts with one depending on the radial coordinates ... 
Positron impact excitation of lowest autoionizing state of potassium atom using distorted wave method with absorption and polarization potentials
(Journal of Physics Communications, 20210126)Differential and integral crosssections, as well as the alignment and lambda parameters for positron impact excitation of the lowest autoionizing state of potassium atom, have been calculated using a nonrelativistic distorted ... 
CdxZn1xS/Pbs Thin film solar cell
(Global Advanced Research Journal of Engineering, Technology and Innovation, 2014)In this work, ntype CdxZn1xS and ptype Pbs layers were optimized through chemical solution technique for solar cells. CdxZn1xS was grown at 82°C while Pbs layers were grown at room temperature utilizing aqueous conditions. ... 
PfEMP1 DBLα Sequence Tags in Genomic DNA of P. falc iparum Field Isolates from Two Malaria Endemic Sites in Ke nya
(Journal of Natural Sciences Research, 2015)Malaria caused by Plasmodium falciparum remains a major cause of childhood morbidity and mortality in subSaharan Africa. PfEMP1 protein, coded for by a family of about sixty variant var genes, is a parasite protein found ...