Mathematics and Computation. IACMC 2022, Zarqa, Jordan, May 11–13

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Contents Generalized Neighborhood Systems Approach for Information Retrieval Systems 1 Introduction 2 Rough Set Theory 3 Generalized Rough Set Theory 4 Generalized Neighborhood Systems 5 Construction of Information Retrieval System 6 Query Expansion Techniques for Information Retrieval 7 Conclusion References Applying “Emad-Sara” Transform on Partial Differential Equations 1 Introduction 2 Fundamental Properties of Emad-Sara Transform 2.1 Emad-Sara Transform Existence [14] 2.2 Emad-Sara Transform Uniqueness [14] 2.3 Derivation of the Emad-Sara Transform of Derivatives [14] 3 Solving Some Partial Differential Equations Using ES Transform 4 Conclusion References Estimations of the Bounds for the Zeros of Polynomials Using Matrices 1 Introduction 2 Main Results References Applications on Formable Transform in Solving Integral Equations 1 Introduction 2 Basic Definitions 3 Formable Integral Transform (FIT) 4 Main Results 5 Applications and Examples 6 Conclusion References A New Authentication Scheme Based on Chaotic Maps and Factoring Problems 1 Introduction 2 Preliminaries 2.1 Chebyshev Chaotic Map 2.2 Computational Problem 3 Key Authentication Scheme 3.1 User Registration Phase 3.2 Key Authentication Phase 4 Security and Performance Analysis 4.1 Security Analysis 4.2 Performance Analysis 5 Numerical Simulation of the Proposed Scheme 5.1 User Registration Phase 5.2 Key Authentication Phase 6 Conclusion References A Pro Rata Definition of the Fractional-Order Derivative 1 Introduction 2 Fractional Derivative 3 Integral of Order α 4 Illustrative Examples 5 Conclusion References Investigating Multicollinearity in Factors Affecting Number of Born Children in Iraq 1 Introduction 2 Materials and Methods for Investigating Multicollinearity 2.1 Correlation Coefficient 2.2 Variance Inflation Factor (VIF) 2.3 Multiple Linear Regression 3 Results 3.1 Investigating Multicollinearity Using Pairwise Scatterplot 3.2 Investigating Multicollinearity Using Pearson’s Correlations 3.3 Investigating Multicollinearity Using Variance Inflation Factor (VIF) 4 Diagnosed Multicollinearity 4.1 Diagnosed Multicollinearity by Removing High VIF 4.2 Diagnosed Multicollinearity by Removing Non-significant Variables 5 Conclusion References Hilbert–Schmidt Numerical Radius Inequalities for Certain 2times2 Operator Matrices 1 Introduction 2 Inequalities for Certain 2times2 Operator Matrices 3 Applications References Model Reduction and Implicit–Explicit Runge–Kutta Schemes for Nonlinear Stiff Initial-Value Problems 1 Introduction 2 Model Equations of miRNA 3 The Proposed Method 4 Numerical Experiments 5 Conclusions References Using Atomic Solution Method to Solve the Fractional Equations 1 Introduction References Analysis in the Algebra A(E) 1 Introduction 2 Generalized Numbers According to the Algebra A(E) 3 Linear and Bilinear Operations on Algebra A(E) 4 Analysis in the Algebra A(E) 5 Conclusion References Applications of Conformable Fractional Weibull Distribution 1 Introduction 2 Conformable Fractional Differential Equation 3 Applications to Conformable Α−Weibull Distribution References Stable Second-Order Explicit Runge-Kutta Finite Difference Time Domain Formulations for Modeling Graphene Nano-Material Structures 1 Introduction 2 Formulations 3 Root-Locus Stability Analysis 4 Numerical Stability and Accuracy Verification 5 Conclusions 6 Appendix: Runge-Kutta Local Truncation Error References Hydrodynamic Analysis and CFD Modeling of PAWEC Interacted with Regular Waves Using CFX 1 Introduction 2 Methodology and Problem Setup 3 Mathematical Model 3.1 CFD Model and Boundary Conditions 3.2 Grid Independence Test 3.3 Time Step Size Test 4 Validation of the Numerical Results 5 Hydrodynamic Analysis 6 Fluid–Structure Interaction 7 Bottom Shape Optimization 8 Conclusion References Using Ridge Regression to Estimate Factors Affecting the Number of Births. A Comparative Study 1 Introduction 2 Multicollinearity and Regression Analysis 2.1 Multicollinearity Problem 2.2 Methods of Dealing with the Problem of Multicollinearity 3 Biased Estimation Methods 3.1 Latent Roots Regression 3.2 Principal Components Regression 3.3 Ridge Regression 3.4 Lasso Regression Method 3.5 Bayesian Ridge Regression Models 3.6 Al-Kassab and Al-Awjar Method 4 Application 5 Conclusion References Discrete Maximum Principle and Positivity Certificates for the Bernstein Dual Petrov–Galerkin Method 1 Introduction 1.1 Outline 2 Preliminaries 2.1 Linear Elliptic PDEs 2.2 Positivity, Maximum and Comparison Principle 2.3 Bernstein Polynomials and Their Duals 2.4 Certificates of Non-negativity Resp. Positivity 3 Bernstein Dual Petrov–Galerkin Method 4 Discrete Maximum Principle and Positivity Certificates 5 Conclusion References On the Dynamic Geometry of Kasner Triangles with Complex Parameter 1 Introduction 2 Kasner Triangles with a Complex Parameter 3 Dynamical Properties 3.1 Convergent Orbits 3.2 Divergent Orbits 3.3 Periodic Orbits 3.4 Orbits with Convergent Subsequences 3.5 Dense Orbits 4 Conclusions References Application of Conformable Fractional Nakagami Distribution 1 Introduction 2 Application on Conformable is α–Nakagami Distribution 2.1 The Conformable Fractional Probability Density Function is (CFPDF) 2.2 The Conformable Fractional Cumulative Distribution Function (CFCDF) 2.3 The Conformable Fractional Survival Function (CFSF) Sα 2.4 The Conformable Fractional Hazard Function (CFHF) ℎα 2.5 The rth Non-central α–Moment (Eα(Xr)) 2.6 Conformable Fractional Shannon Entropy αH 2.7 Conformable Fractional Tsallis Entropy αHT,c 2.8 Conformable Fractional Renyi Entropy αHR,c References Self-Consistent Single-Particle Spectra with Delta Excitations 1 Introduction 2 Results and Discussion 3 Conclusion and Outlook References Fractional-Order SEIR Covid-19 Model: Discretization and Stability Analysis 1 Introduction 2 Preliminaries 3 Stability Analysis 3.1 Positively Invariant Region 3.2 Fixed Points and Basic Reproduction Number 4 Numerical Simulations 5 Conclusions References A q-Starlike Class of Harmonic Meromorphic Functions Defined by q-Derivative Operator 1 Introduction and Preliminaries 2 Coefficient Condition 3 Distortion Bounds and Extreme Points 4 Convex Combination and Convolution 5 Generalised q-Integral Operator 6 Concluding Remarks and Observations References Theoretical Study of Explosion Phenomena for a Semi-parabolic Problem 1 Introduction 2 Problem's Formulation 3 The Main Results 4 Conclusion References Explicit Formulae of Linear Recurrences 1 Introduction 2 Explicit Formulae 2.1 Case of One Double Zero 2.2 Arbitrary Initial Values but Single Zeros 3 Outline References The Influence of S-quasinormal Subgroups on the Structure of Finite Groups 1 Introduction 2 Preliminaries 3 Results References Two-Sided Clifford Wavelet Function in Cl(p,q) 1 Introduction 2 Fourier of CWF in Cl(p,q) 3 Main Results 4 Properties of Fourier of CWF 5 Reconstruction for CWF 6 Plancherel and Parseval Identities of Fourier of CWF 7 Examples 8 Application 9 Conclusion References Generalizations of the Fibonacci Sequence with Zig-Zag Walks 1 Introduction 2 Recurrence Sequences Associated to the Walks on the Hyperbolic Pascal Triangle 3 Recurrence Sequences Associated to the Walks on an Euclidean Square Grid References Mathematics Learning Challenges and Difficulties: A Students’ Perspective 1 Introduction 2 Methodology and Research Design 3 Results 4 Discussion and Conclusion 4.1 External Factors 4.2 Mathematical Procedures in Problem-Solving 4.3 The Learners Cognitive Abilities 5 Recommendations References Finding Solution to the Initial Value Problem for ODEs First and Second Order by One and the Same Method 1 Introduction 2 Construction Multistep Second Derivative Methods 3 Construction Stable Methods with the Degree p = 3k + 3 4 Construction of Any Concrete Methods and Application Some of Them to Solve Model Problem 5 Conclusion References On Symmetric Matrices with One Positive Eigenvalue and the Interval Property of Some Matrix Classes 1 Introduction 2 Background and Key Lemmata 3 Main Results References Global Asymptotic Stability for Discrete-Time SEI Reaction-Diffusion Model 1 Introduction 2 Preliminarily 3 Discrete-time SEI Reaction-Diffusion System 4 Global Stability 5 Numerical Simulations 6 Conclusion References Atomic Solution of Euler Equation 1 Introduction 2 Main Result References Solving Non-linear Fractional Coupled Burgers Equation by Sub-equation Method 1 Introduction 2 Fractional Calculus 3 Sub-Equation Method 4 Fractional Derivative Coupled Burgers Equations by Sub-equation Method 5 Conclusions References Groups in Which the Commutator Subgroup is Cyclic 1 Introduction 2 A Class of Dc-Group References On Point Prediction of New Lifetimes Under a Simple Step-Stress Model for Censored Lomax Data 1 Introduction 2 Model Description and Related Assumptions 3 Point Prediction of New Order Statistics 3.1 Maximum Likelihood Predictor 3.2 Conditional Median Predictor 3.3 Best Unbiased Predictor 4 Data Analysis References Infra Soft β-Open Sets and Their Applications on Infra Soft Topological Spaces 1 Introduction 2 Preliminaries 2.1 Soft Set Theory 2.2 Infra Soft Topological Spaces 3 Main Properties of Infra Soft β-Open Sets 4 Infra β-Interior, Infra β-Closure, Infra β-Limit and Infra β-Boundary Soft Points of a Soft Set 5 Infra Soft β-Homeomorphism Maps References An Algorithm of the Prey and Predator Struggle to Survive as a Random Walk Simulation Case Study 1 Introduction 2 Hunter and Prey Approach 3 The Simulation Study 4 Conclusion References New Modification Methods for Finding Zeros of Nonlinear Functions 1 Introduction 2 The Established Methods 2.1 Construction of the New Methods 2.2 Convergence Criteria of the New Methods 2.3 More Suggestions 3 Numerical Examples 4 Conclusion References On Tempered Exponential Trisplitting for Random Semi-dynamical Systems 1 Introduction and Preliminaries 2 Datko-Type Criterion References On qq-Laplace Transforms 1 Introduction 2 Preliminaries 2.1 Fundamental Concepts of q-Calculus 2.2 Main Properties of qq-Laplace Transforms 2.3 qq-Laplace Transform of Some Elementary Functions 3 Applications of q-Laplace Transforms to Solve Some q-Difference Equations References An Effective Procedure for Solving Volterra Integro-Differential Equations 1 Introduction 2 Description of Research Methods 2.1 Analysis of the Homotopy Perturbation Method (HPM) 2.2 Padé Approximation 3 Numerical Examples 3.1 Example 1 3.2 Example 2 4 Results and Dissections 5 Conclusion References New Estimations for Zeros of Polynomials Using Numerical Radius and Similarity of Matrices 1 Introductions 2 Main Results 3 Bounds for Zeros of Polynomials Using Similarity of Matrices 4 Bounds for the Zeros of Polynomials with Matrix Coefficients by Using Similarity of Matrices References A New Paranormed Sequence Space and Invariant Means 1 Introduction 2 Matrix Transformations References