Nonstandard Analysis of the Koch Snowflake Fractal Curve: Insights into Self-Similarity and Scaling Properties
2024 KIBU Authors Vincent Marani Shem Aywa VIEW ON PUBLISHER SITE Abstract This study investigates the application of nonstandard analysis techniques to the fractal geometry of the Koch snowflake curve, with a focus on its implications for antenna design. We develop a rigorous mathematical framework using hyperreal numbers and the transfer principle to analyze the […]
Conjugacy Classes of the Group 27: G2(2)
2024 KIBU Authors Lucy Chikamai Shem Aywa VIEW ON PUBLISHER SITE Abstract The group 27: G2(2), a maximal subgroup of the automorphism group of the Fischer group Fi22, is a semi-direct product of an elementary abelian group of order 27 and the exceptional group G2(2). This study aims to comprehensively determine and analyze the conjugacy […]
Circularity and Polygonal Structure of Numerical Ranges for Non-Negative Matrices
2024 KIBU Authors Shem Away Lucy Walingo Chikamai VIEW ON PUBLISHER SITE Abstract This study investigates the circularity and polygonal structure of numerical ranges for non-negative matrices. We provide a comprehensive characterization of non-negative matrices with circular numerical ranges and derive conditions for polygonal numerical ranges. Our main results show that a non-negative matrix has […]
Conjugacy Classes of the Group Extension 27: G2(2)
2024 KIBU Authors Lucy Chikamai Vincent Marani VIEW ON PUBLISHER SITE Abstract This study investigates the conjugacy class structure of the group extension 27: G2(2), a maximal subgroup of both the symplectic group Sp8(2) and the automorphism group of the sporadic Fischer group Fi22. Using the Fischer-Clifford matrix technique and computational methods, we determine and […]
A Mathematical Model for Rotavirus Infection Incorporating Time Delay on the Effectiveness of Vaccination with Treatment
2024 KIBU Authors Bonface Kwach VIEW ON PUBLISHER SITE Abstract Rotavirus is the most common cause of severe diarrheal disease in young children globally attributing approximately 527,000 deaths of children under five each year. A Rotavirus vaccine was developed in 1998, however, it takes time for vaccine induced immunity to take place. The aim of […]
Heavy metal contamination at dumpsites at Eldoret, Kenya, in the Lake Victoria Basin
2018 KIBU Authors Donald Siamba Martha Konje VIEW ON PUBLISHER SITE Abstract This study assessed the heavy metals concentrations in municipal solid wastes at Eldoret Mwenderi dumpsites located at the shores of river Sosiani within the Lake Victoria Basin, Kenya. Concentrations of the three heavy metals analysed (lead, arsenic and cadmium) in water and leachate […]
What Do Data on Dry Bulk Density (BD) And Porosity (P) Tell About The Quality of Soils in the Mumias Sugar Zone, Western Kenya?
2019 KIBU Authors Mutonyi, J VIEW ON PUBLISHER SITE Abstract A study conducted from 2009-2011 on soils in the Mumias sugar zone of western Kenya involved the determination of dry bulk density (BD), moisture content (MC) and porosity (P) in 31 sites. Bulk density varied from site to site ranging from 1.46 g/cm3 to 1.81 […]
The occurrence of sugarcane yellow aphid (Siphaflava (Homoptera: Aphididae),in Kakamega North Sub-County, Kenya
2019 KIBU Authors Mutonyi, J VIEW ON PUBLISHER SITE Abstract The outbreak of sugarcane yellow aphid (Siphaflava (Homoptera: Aphididae) in Kenya was first reported in the Transmara and South Nyanza sugar zones in 2016. The pest has subsequentlybeenobserved in the major sugar producing counties in Western Kenya. Serious concerns emerged in the 2018 and 2019 […]
Gamma-Ray Spectrometric Determination And Multivariate Analysis Of Radionuclide Fluxes In Shore Sediment At Port Victoria, Kenya
2019 KIBU Authors Nakitare M. Waswa VIEW ON PUBLISHER SITE Abstract Increased human and industrial activities discharge effluents containing TENORM while geological processes results to NORM directly onto land and in water bodies in L. Victoria basin. River Nzoia is the largest river draining the basin and forms an integral part of the lake shoreline […]
S-wave Superconducting Model within the Finite Coulomb Regime in Cerium and Uranium Based Heavy Fermion Compounds.
2019 KIBU Authors Michael Nakitare Waswa VIEW ON PUBLISHER SITE Abstract We have studied the s-wave Cooper pairing in Uranium and Cerium based HF systems by analyzing the periodic Anderson model by means of the Bogoliubov-Valatin approach (BVT) focusing on the interorbital Cooper pairing between a conduction electron (c electron) and an f electron. The […]