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 [alpha]
4 Illustrative Examples
5 Conclusion
References

Intro
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

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