Department of Mathematics
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Further Generalization of Unitary QuasiEquivalence of Operators
(International Journal of Mathematics And its Applications, 20201006)In this paper, we further generalize the class of nUnitary QuasiEquivalence by extending this study to (n,m)Unitary QuasiEquivalence. We investigate the properties of this class and also the relation of this equivalence ... 
On Class (Q )
(International Journal of Mathematics And its Applications, 20201112)Class (Q) operators was introduced and studied by Jibril in (quote). In this paper , we introduce and study the “cousins” to this class, namely class (Q∗). An operator T ∈ B(H) is said to belong to class (Q∗) if T ∗2T 2 ... 
On N Quasi DOperator Operators
(International Journal of Mathematics And its Applications, 20200111): In this paper, we introduce the class of N quasi Doperator acting on the usual Hilbert space H over the complex plane. An operator T is said to be an N quasi Doperator if T(T ∗2 (T D) 2 ) = N(T ∗T D) 2T, where ... 
On Some generalization of Unitary QuasiEquivalence of Operators
(International Journal of Mathematics And its Applications, 20200101)In this paper, we generalize the class of Unitary QuasiEquivalence by extending this study to nUnitary QuasiEquivalence and investigate the properties of this class. We investigate the relation of this equivalence class ... 
On (α,β)Class (Q) Operators
(International Journal of Mathematics and its Applications, 20210112)In this paper, we introduce a new class of operator, the class of (α, β)Class (Q) operator acting on a complex Hilbert space H. An operator T ∈ B(H) is said to be (α, β)Class (Q) if α 2T∗2T 2 ≤ (T∗T) 2 ≤ β 2T ∗2T 2 for ... 
School factors as correlates of secondary students’ achievement in mathematics in Bungoma county, Kenya
(201510)There is abundant research evidence to support the view that when Mathematics is taught in an enabling environment, a lot of enjoyable learning takes place. But in reality this is not always so, the implication is that ... 
Reorientation of Science and Mathematics teachers instructional strategies for information communication technology integration
(2015)This article reports on a study which explored teachers reconceptualization and reorientation process during their inservice training for ICTpedagogy integration in teaching and learning. The qualitative research design ... 
Nonparametric estimatorfor the standardized sum using edgeworth expansions
(iosr, 2018)This article makes three contributions. First, we introduce a computationally efficient estimator for the component functions in additive nonparametric regression exploiting a different motivation from the marginal integration ... 
Derivation and solution of the heat equation in 1D
(International journal of engineering, science and mathematics, 2013)Heat flows in the direction of decreasing temperature, that is, from hot to cool. In this paper we derive the heat equation and consider the flow of heat along a metal rod. The rod allows us to consider the temperature, ... 
Forensic estimation of time of death: A mathematical model
(International journal of management, IT and engineering, 2013)In this paper we establish the exact time of death of a murdered person. This leads to an ordinary differential equations whose solution has been analyzed to provide the approximate time of death. Forensic expert will ... 
The role of teachers in implementing eﬀective play in early childhood and educational centers
(Lap lambert academic publishing, 2013)Over the last several years, there has been an increased focus on school readiness and supporting children during the preschool years to learn the skills they need to be successful in elementary school and beyond (Bowman, ... 
Mathematical model for nutrient exchange across the placenta
(International journal of engineering & mathematical sciences, 2015)This study presents a new mathematical model for nutrient exchange across the placenta which include nutrient exchange from foetus to mother to provide a system of equations in the form, Y ሶ ൌ AY rԦሺtሻ and whose ... 
Mathematical modeling of insulin therapy in patients with diabetes mellitus
(IJESM, 2015)—This study presents a Mathematical Model Insulin Therapy in Patients with Diabetes Mellitus which includes external rate at which blood glucose, insulin and epinephrine are being increased in the form, Y =AY+r (t) ... 
Mathematical modelling of the role of interference on the transmission dynamics and management of Hiv and Aids
(20180922)In this paper, a deterministic mathematical model incorporating interference is developed andanalysed to investigate the role of interference on the transmission dynamics and managementof HIV and AIDS. The model is shown ... 
Mathematical model for detecting diabetes in the blood
(Journal of applied mathematical sciences, 2011)This study presents a new mathematical model for Blood Glucose Regulatory System(BGRS) which includes epinephrine as a third variable in the form, Y˙ = AY, and whose solution has been analyzed for equilibrium and stability ... 
A PredatorPrey Model with a Time Lag in the Migration
(2014)We develop a twopatch migration model of the classical LotkaVoltera predatorprey system with a time lag in the migration between patches. We show that when the migration rate is less than the prey growth rate the species ... 
Factors that influence teachers perception towards the implementation of strengthening mathematics and science in secondary education (SMASSE)Programme in Bungoma .
(20103)Dismal performance in Mathematics and Science subjects poses a challenge towards realization of the Kenya National development goal of industrialization by the year 2020. The government of Kenya in liaison with the Japanese ... 
Effect of Peer Teaching among Students on their Performance in Mathematics
(International journal of scientific research and innovative technology, 2016)Mathematics is a key subject in the school curriculum and is considered as critical filter for learners’ career choices. However, over the years mathematics has been one of the poorly performed subjects in the Kenya Certificate ... 
Exemplary practice and outcomebased mathematics instruction in Kenyan schools/Prácticas ejemplares basadas en resultados de instrucción de las matemáticas en las escuelas de Kenya
(Journal of science education, 2007)The general performance in mathematics among secondary school students in Kenya has over the years been poor. There is evidence that the learning environment is murky and often intractable. This calls for exemplary practice ... 
Effectiveness of teaching preparation on mathematics achievement: The case of Kenya
(20111101)Despite playing a central role in peoples’ daily life, the average Kenyan secondary school students’ mathematics score in national examinations has consistently averaged below 40%. The contribution of teachers’ lesson ...