

Seoul Foreign School’s Journal of Pure and Applied Mathematics
September 2025
Editors
Editor-in-Chief
Eason Ha (11)
Editors
Rachel Pyo (12)
Eason Ha (11)
Kyuyeon Chung (11)
Timothy Suh (10)
Kyubin Kim (10)
Soomin Ahn (9)
Designers
Head of Design
Yura Shin (10)

Designers
Rachel Pyo (12)
Eason Ha (11)
Yura Shin (10)
Supervisors
Mr Valentino Boeri
Mr Young-Han Hahm
Mr Rodrigo Diaz
Mr Kley Feitosa
Mr Dwight Stephenson
Note From the Editor-in-Chief
Eason Ha
Welcome to the first issue of Lumina Math Journal, Seoul Foreign School’s first and only maths publication.
With the increasing importance of mathematics - both pure and appliedin everyday life, it is increasingly pertinent that students have wide access to maths and its related disciplines. Through Lumina Math Journal, I hope that members are able to further pursue their interest in mathematics as well as develop vital skills for original research.
For the broader SFS community, we hope that having the Math Journal available throughout all math classrooms and common areas would be an everpresent inspiration for a rabbit-hole into maths as well as serving as a reminder of the ubiquity and utility of maths in our lives
Lastly, I would like to give the biggest thanks to our advisor, Mr. Boeri, and special thanks to our Head of Design Committee, Yura Shin. Without their help, publishing a polished Math Journal would not have been possible.
Thank you and enjoy the first issue of Lumina Math Journal!
Eason Ha, Editor-in-chief, Math Journal
Table of Contents
1. Boundary Conditions On Fast Oscillation And Pivot Oscillation Speeds In N-Chain Kapitza Pendulum Systems
By Eason Ha
2. Numerical Solution of The Brachistochrone Curve Under Friction with Riemann Sums By Timothy Suh, Kyubin Kim
3. The Condition for Simpson’s Paradox in Comparing the Effectiveness of Medical Treatment
By Rachel Pyo
4. A Numerical Approximation Approach to Finding Efficient Possible Solutions to Tetris
By Kyuyeon Chung
4. Solutions to the Black-Scholes PDE via Heat Equation Methods By Rachel Pyo
5. Inverse Kinematics (IK) In Computer Animation By Soomin Ahn
