Department of Mathematics and Computer Science
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On Norm of Elementary Operator: An Application of Stampfli’s Maximal Numerical Range
(Pure and Applied Mathematics Journal, 201803)Many researchers in operator theory have attempted to determine the relationship between the norm of an elementary operator of finite length and the norms of its coefficient operators. Various results have been obtained ... 
ON THE NORM OF JORDAN ELEMENTARY OPERATOR IN TENSOR PRODUCT OF C*ALGEBRAS
(INT Journal of Mathematics, 202406)The norm property of different types of Elementary operators has attracted a lot of researchers due to its wide range applications in functional analysis. From available literature the norm of Jordan elementary operator ... 
On The Norm of Finite Length Elementary Operator in Tensor Product of C*Algebras
(International Journal of Mathematics and Computer Research, 202401)Many properties of Elementary operators, including spectrum, numerical ranges, compactness, rank, and norm have been studied in depth and some results have been obtained. However, little has been done in determining the ... 
On almost similarity results on partial isometrics, 𝛉 operators and posinormal operators
(International Journal of Statistics and Applied Mathematics, 202106)It is preeminent that equality of spectra is realized when the two given operators are unitarily equivalent or similar but not when they are almost similar. Also, projections which are 𝛼almost similar, demonstrate ... 
ON CLASSIFICATION OF PERMUTATIONS
(Asia Pac Journal, 202003)Some researchers in combinatorics have developed permutation algorithms using different approaches. We contribute to this area by developing a formula for generating permutations whereby, starting with an identity ... 
On the Numerical Ranges
(International Journal of Scientific and Innovative Mathematical Research (IJSIMR), 201508)Properties of operators in a C*algebra B(H) have been studied by many researchers in operator theory. This paper is an investigation of the numerical ranges of operators in B(H) . We show that zero is in the algebraic ... 
On the Norm of Elementary Operator
(Advances in Pure Mathematics, 201407)The norm of an elementary operator has been studied by many mathematicians. Varied results have been established especially on the lower bound of this norm. Here, we attempt the same problem for finite dimensional operators. 
On Norm of Elementary Operator of Length Two
(International Journal of Scientific and Innovative Mathematical Research (IJSIMR), 201706)Norms of elementary operators have been studied by many mathematicians. Varied results have been gotten using different approaches. In this paper we use maximal numerical range to express the norm of an elementary operator ... 
On the Norm of Elementary Operator
(Advances in Pure Mathematics, 2014)The norm of an elementary operator has been studied by many mathematicians. Varied results have been established especially on the lower bound of this norm. Here, we attempt the same problem for finite dimensional operators 
MATHEMATICAL MODELING OF HIV/AIDS DYNAMICS AMONG THE FISHERFOLK AS A VECTOR FOR HIV: A CASE STUDY OF LAKE VICTORIA METAPOPULATIONS
(University of Eldoret, 202306)HIV/AIDS pandemic has remained the leading causes of death among the sexually transmitted diseases. To date, there has been no cure, and all the intervention measures involve preventive and reduction of the severity of the ... 
MODELLING COVID19 DYNAMICS (SPREAD AND CONTROL) AND THE EFFECTS OF A PREVENTIVE VACCINE
(University of Eldoret, 202309)Corona virus 2019 (COVID19) have been pandemic both in Africa and the whole world. This work formulated and analyzed mathematical model of COVID19 that monitors the temporal dynamics of the disease in the presence of ... 
EFFECT OF VACCINATION ON MATHEMATICAL MODELING OF COVID19
(International Journal of Science Academic Research, 202302)Corona virus 2019 (Covid19) have been endemic both in Africa and the whole world. In this paper we have formulated and analyze mathematical model of covid19 that monitors the temporal dynamics of the disease in the ... 
Detecting Remote Access Network Attacks Using Supervised Machine Learning Method
(MECS Press, 2023)Remote access technologies encrypt data to enforce policies and ensure protection. Attackers leverage such techniques to launch carefully crafted evasion attacks introducing malware and other unwanted traffic to the ... 
Application of ARIMA, and hybrid ARIMA Models in predicting and forecasting tuberculosis incidences among children in Homa Bay and Turkana Counties, Kenya
(PLOS DIGITAL HEALTH, 202302)Tuberculosis (TB) infections among children (below 15 years) is a growing concern, particularly in resourcelimited settings. However, the TB burden among children is relatively unknown in Kenya where twothirds of ... 
MODELING THE EFFECTS OF CROP SPACING AND INORGANIC FERTILIZER ON THE POTATO TUBER YIELD AND SIZE USING FIRST ORDER TWOLEVEL FACTORIAL DESIGN
(University of Eldoret, 202206)The essential nutrients for growth and productivity to all living organisms, specifically plants are Nitrogen, Phosphorus and Potassium. However, there are other factors that contribute to optimum yield of crops; these ... 
FORECASTING TUBERCULOSIS INFECTIONS USING ARIMA AND HYBRID NEURAL NETWORK MODELS AMONG CHILDREN BELOW 15 YEARS IN HOMA BAY AND TURKANA COUNTIES, KENYA
(University of Eldoret, 202211)Tuberculosis (TB) among children under the age of 15 is a significant public health problem, particularly in resourceconstrained settings and is among top ten most dangerous causes of death worldwide, and ranks among the ... 
Mathematical modeling of flow of fertilizerwater mixture through soil and its effect on concentration and plant growth
(International Journal of Statistics and Applied Mathematics, 2021)In this research we aim to demonstrate and explore how mathematical modeling can be used to aid people gain knowledge and understanding of plants and, in particular, interactions between plants, fertilizers, soil, and ... 
On Unitary Invariance of Some Classes of Operators in Hilbert Spaces
(Pure Mathematical Sciences, 2020)It is a known fact in operator theory that two similar operators have equal spectra but they do not necessarily have to belong to the same class of operators. However, under the stronger relation of unitary equivalence ... 
NUMERICAL SIMULATION OF EFFECTS OF VELOCITY AND DIFFUSION COEFFICIENT ON CONCENTRATION OF CONTAMINANTS IN FLUID FLOW
(University of Eldoret, 2022)The study developed and implemented Implicit and explicit schemes for solving one dimensional convection –diffusion equation modeling concentration of contaminant in a fluid flow .The study uses method of lines and exact ... 
AN INVESTIGATION ON MAGNETOHYDRODYNAMICS FLUID FLOW BETWEEN TWO PARALLEL INFINITE PLATES SUBJECTED TO AN INCLINED MAGNETIC FIELD AND VARYING TEMPERATURES
(University of Eldoret, 2015)Magnetohydrodynamics (MHD) is the study of electrically conducting fluids in the presence of magnetic fields. This study examined the motion of a viscous, electrically conducting and incompressible fluid flowing steadily ...