Advances in Mathematics Research. Volume 30


Albert R. Baswell (Editor)

Series: Advances in Mathematics Research
BISAC: MAT000000

This volume includes some of the latest advancements in mathematics research. Chapter One aims to increase the certainty and reliability of G index through different examples and show that G index can be reached by two different paths. Chapter Two focuses on deriving exact trigonometric ratios using equations. Chapter Three presents a review of rough set theory-based feature selection approaches for small to large scale machine learning tasks. Chapter Four delivers an analytic approach to the Riemann hypothesis. Chapter Five aims to present a comparative analysis of mathematical models of transmission lines applied to two short lines of medium voltage. Finally, Chapter Six focuses on the numerical investigation of the one and two dimensional semi-linear scale-invariant wave equation with damping, mass and power non-linearity.

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Table of Contents


Chapter 1. A Set Theory Justification of Garuti’s Compatibility Index: Generalization of Jaccard Index Working within Weighted Environment
(Claudio Garuti – Fulcrum Engineering Ltd., Santiago, Chile, et al.)

Chapter 2. A Comprehensive Introduction to Trigonometry
(Khan Sameen Ahmed – Department of Mathematics and Sciences, College of Arts and Applied Sciences, Dhofar University, Salalah, Sultanate of Oman, et al.)

Chapter 3. Rough Sets Based Feature Selection for Machine Learning: A Review
(Benjamin Schannes – École Polytechnique, Paris, France, et al.)

Chapter 4. An Analytic Approach to the Riemann Hypothesis
(Paolo D’Isanto and Giampiero Esposito – Dipartimento di Fisica “Ettore Pancini,” Complesso Universitario di Monte S. Angelo, Napoli, Italy, et al.)

Chapter 5. Mathematical Modeling of Medium Voltage Electrical Power Segments from Real Data: Which Model to Utilize?
(Andressa Tais Diefenthaler, Airam T. Z. R. Sausen, Paulo S. Sausen and Mauricio de Campos – Masters and Doctoral Program in Mathematical Modeling, Regional University of Northwestern Rio Grande do Sul State (UNIJUI), Ijuı, RS, Brazil, et al.)

Chapter 6. Numerical Solution of the One and Two Dimensional Semi-Linear Wave Equation with Scale-Invariant Damping, Mass and Power Nonlinearity with Ɵ−scheme
(Harun Selvitopi – Department of Mathematics, Faculty of Sciences, Erzurum Technical University, Erzurum, Turkey, et al.)

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