Shuri

This thesis contain research project for pure mathematics and also statistics

This thesis presents an analytical study of semi-open and semi-closed sets within the framework of metric spaces. It explores their defining properties, interrelationships, and behavior under standard topological operations, with particular emphasis on how these generalized sets extend and refine classical notions of openness and closedness. The work further examines their role in characterizing continuity, convergence, and separation axioms in metric spaces, thereby contributing to a deeper und...

This thesis investigates the comorbidity of hypertension and diabetes among the elderly using rigorous statistical methods. It analyzes the prevalence, patterns, and strength of association between the two conditions, while examining the influence of key demographic and clinical factors such as age, sex, and lifestyle indicators. Through descriptive statistics, inferential analysis, and regression modeling, the study aims to quantify the burden of co-occurrence and identify significant predictor...

This thesis investigates the comorbidity of hypertension and diabetes among the elderly using rigorous statistical methods. It analyzes the prevalence, patterns, and strength of association between the two conditions, while examining the influence of key demographic and clinical factors such as age, sex, and lifestyle indicators. Through descriptive statistics, inferential analysis, and regression modeling, the study aims to quantify the burden of co-occurrence and identify significant predictor...

The thesis focuses on the statistical analysis of the co-morbidity of hypertension and diabetes mellitus in elderly population.The study aims to investigate the prevelence, association, and joint risk factors of these two chronic diseases using real word data from individuals aged 50 years and obove. the research employs both descriptive and inferential statistical methods , including contigency table analysis, correlation measures,logistic regression and multivariate analysis.

This bachelor's thesis, authored by Lennart Großkreutz and submitted on September 16, 2024, at the Karlsruhe Institute of Technology (KIT) in Germany, introduces the concept of hyperbolic sphericity as a graph invariant analogous to Euclidean sphericity, defined as the smallest integer n such that a graph G can be represented as the intersection graph of equal-sized balls of radius r in n-dimensional hyperbolic space. The work establishes foundational properties, demonstrating that hyperboli...

This diploma thesis, authored by Markus Rosenkranz and submitted in February 1997 to the Johannes Kepler University Linz for the degree of Diplom-Ingenieur in Technical Mathematics under the supervision of Univ.-Doz. Dr. Peter Paule, examines the phenomenon of Lagrange inversion, also known as Lagrange's theorem, first published by Joseph Louis Lagrange in 1869. The work explores its development over the subsequent 125 years across various branches of mathematics, highlighting deep connection...

This internationally recognised postgraduate Master of Science programme is designed for healthcare professionals seeking to develop advanced clinical, leadership, and research capabilities in the specialist field of diabetes care. The curriculum integrates contemporary evidence-based practice, person-centred care principles, and innovative service-delivery models to equip graduates with the expertise required to lead improvements in diabetes prevention, management, and complication reduction ac...