1. Introduction 1.1 Background of the Study 1.2 Research Objectives 1.3 Scope and Limitations 1.4 Methodology Overview 2. Theoretical Framework 2.1 Understanding Social Media Algorithms 2.2 Conceptualizing Public Opinion 2.3 Theories of Societal Polarization 3. Literature Review 3.1 Previous Studies on Algorithms 3.2 Public Opinion Shaping Factors 3.3 Existing Research on Polarization 4. Methodology 4.1 Research Design and Approach 4.2 Data Collection Methods 4.3 Data Analysis Techniques 4.4 Ethical Considerations 5. Analysis of Social Media Algorithms 5.1 Types of Algorithms Used 5.2 Mechanisms of Influence 5.3 Algorithmic Biases and Impacts 6. Public Opinion Dynamics 6.1 Role of Algorithms in Opinion Formation 6.2 Case Studies and Instances 6.3 Measuring Opinion Changes 7. Impact on Societal Polarization 7.1 Evidence of Increased Polarization 7.2 Sociopolitical Implications 7.3 Mitigating Algorithmic Effects 8. Conclusion and Recommendations 8.1 Summary of Findings 8.2 Policy Recommendations 8.3 Future Research Directions
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