Description
Excelic Press Discrete Mathematics by Takaaki Fujita
In the current age of information, mathematics is an exciting development area of research. It has fundamentally interdisciplinary characteristics with roots in pure mathematics, and a wide variety of solicitations in networks, algorithms, etc. Discrete mathematics developed as of the mathematical sciences’ response to the need for a better understanding of the combinatorial bases of the mathematics used in the real practices. It has become increasingly emphasized in the current educational climate. Research in discrete mathematics augmented in the latter half of the 20th century partially because of the development of digital computers which operate in discrete steps and store data in discrete bits.
This book provides a wide-ranging coverage of recent trends and applications in the area and ideas to the directions of research. The book starts with the concept of linear tangle introduced as an obstruction to mixed searching number. The concept of (maximal) single ideal has been introduced as an obstruction to linear-width. This short chapter gives an alternative proof of the equivalence. In next chapter, the concept of fuzzy normed ring is introduced and some basic properties related to it are established. In this chapter, you will find the definition of fuzzy normed ring homomorphism, fuzzy normed subring, and fuzzy normed ideal, fuzzy normed prime ideal, and fuzzy normed maximal ideal of a normed ring, respectively. It also shows some algebraic properties of normed ring theory on fuzzy sets, prove theorems, and give relevant examples. Further, the book illustrates 2-convexpolyominoes: non-empty corners, and the facets of the bases polytope of a matroid and two consequences. Singleton-type upper bounds on the minimum Lee distance of general (not necessarily linear) Lee codes over Ζq are discussed. In addition, the book revitalizes reader’stwo classes of entropy measures for complex fuzzy sets. The Q-analysis governance approach and the use of simplicial complexes—type of hypergraph—allow to introduce the formal concepts of dimension and conjugacy between the network of entities involved in governance and the networks of those attributes taken into account (e.g. their competences), which offer a specific angle of analysis. So, the book closes with dimensionality and conjugacy of governance modeling. The book will serve to mathematicians, practitioners, and students in a wide variety of majors, including computer science, mathematics, and engineering.