Chapter 5 A Fun Video of the Happy Ending Problem–Ramsey's Theory in Multimedia
Project by: Changhong Li (Erwin), Ruoyu Lin (Sally), Chuyi Zhang (Aicha), and Sibei Zhou (Kerla).
\(\textbf{Summary:}\) As our project progressed, it underwent numerous refinements that significantly enriched its content and presentation. Based on Dr. J's invaluable feedback, we embraced several transformative updates that enhanced both the video's educational depth and its appeal to a broader audience.
One of the most impactful changes was the decision to adopt Chinese for the video's dubbing. This strategic choice expanded our video?s accessibility to Mandarin–speaking audiences. The inclusion of Chinese as a dubbing language allowed us to create a bridge between contemporary mathematical discussions and ancient wisdom, enriching the viewer's experience with cultural and historical context.
Further aligning with this theme, we meticulously integrated content related to ancient Chinese mathematics textbook, The Nine Chapters on the Mathematical Art, drawing connections to classical texts that echo the principles underlying Ramsey's Theorem. This approach not only highlighted the theorem's timeless relevance but also underscored the universal language of mathematics that transcends geographical and temporal boundaries.
Video plot summary: The story begins with Alice studying dot–todot connectivity in her classroom. Her study is of convex shapes, and her behaviour attracts the curiosity of her classmate, Bella. Bella realizes that there is a connection between the study of convex figures and the happy ending problem, so she introduces Alice to the happy ending problem. Through Bella's explanation, Alice learns about the historical development of the happy ending problem and its extension to Ramsey's theorem. Their discussion also links to the Nine Chapters of Arithmetic and similar efforts by ancient Chinese mathematicians.
Watch the video below.