An orthogonally additive operator is a map that satisfies the additivity property under the disjointness condition. This thesis focuses on the theory of orthogonally additive operators. The concept of fragments plays a ...

This paper consists of four chapters. The fi rst chapter is an introduction which contains the basic motivation of nearness theory. The second section is devoted to nearness in metric spaces. Here, the nearness of two sets ...

This thesis is constructed on a variety of coloring types in five chapters. Following the Introduction chapter, elementary definitions and methods used throughout the work are presented in Chapter 2. Chapter 3 presents ...

A Hadamard matrix is a square matrix with entries ±1 whose rows are orthogonal to each other. Hadamard matrices appear in various fields including cryptography, coding theory, combinatorics etc. This thesis takes an interest ...