Why’s TSS (total sum of squares) equal to ESS (explained sum of squares) plus RSS (residual sum of squares)?

Markov’s Inequality, Chebyshev’s Inequality, and Cauchy—Schwarz Inequality

Integrate Python, R, and Julia in a single Jupyter Notebook for efficient data analysis by using Julia for fast data preparation, Python for machine learning, and R for visualization with ggplot2. Ensure all necessary kernels and libraries are installed for seamless operation.

Recent advances in AI, particularly generative large language models, enhance research efficiency through AI-augmented annotations, assisted programming, content-based file management, grammar correction, and idea generation, offering tools like Label Studio, GitHub Copilot, and BotAI for improved workflows.

To prevent data loss, use Syncthing for real-time file synchronization, Tailscale for secure internal networking, and GitHub for code backup and collaboration. This approach ensures data integrity and accessibility across multiple projects.

Causal inference is gaining traction in communication studies, with recent studies employing methods like Difference-in-Difference, Regression Discontinuity Design, Synthetic Control Method, and Instrumental Variable to analyze communication phenomena.

Discussion on media studies theory highlights the relationship between modernity and medium, exploring perspectives from theorists like Innis, McLuhan, and Benjamin, while addressing cultural debates on high and low culture and the impact of media on society.