Research
The specular derivative and its application to the wave equation
2023 KMS Spring Meeting, Korean Mathematical Society, 2023 | Poster Presentation
Masters' thesis, 2022 | Talk
Well-defined specular derivatives and specular spaces in n-dimensional Euclidean spaces.
Proved that the Quasi-Rolles' Theorem and the Quasi-Mean Value Theorem in the specular derivative sense.
Proved that the 2nd order specular differentiability implies the 1st order classical differentiability.
Proved the 1st form and the 2nd form of the Fundamental Theorem of Calculus in the specular derivative sense.
Extended the concept of the gradient and the directional derivative in the specular derivative sense.
Found the condition when specular normal vectors exist.
Constructed and solved the 1st order ordinary differential equation, the transport equation, and the wave equation with specular derivatives.
Primality between Consecutive Primorials
2022 KMS Spring Meeting, Korean Mathematical Society, 2022 | Poster Presentation
2022 YNMS Annual Meeting, Youngnam Mathematical Society, 2022 | Talk
Proved the base providing the most efficient primality test is the primorial.
Established a necessary and sufficient condition for a positive integer in between consecutive primorials to be determined as a prime number.
Valuation of condor spreads through a variational inequality approach
2021 KSIAM Annual Meeting, Korean Society for Industrial and Applied Mathematics, 2021 | Poster Presentation
Performed the given PDE with Finite Difference Method by using Python
Visualized the solution, the obstacle function, and free boundaries
Numerical Simulation for Free boundary of the Option Price Determining Partial Differential Equation Model
Undergraduate Research Internship Program, College of Natural Science, Kyungpook National University, 2021 | Poster Presentation
Performed the given PDE with Finite Difference Method by using Python
Visualized the solution, the obstacle function, and free boundaries
Prime Number Decision Algorithm Studying Shift and Product of Number System
The 26th Contest for Student Academic Research, KMU, 2019 | Description Paper and PPT Presentation
Proved the formula converting a positive integer represented decimal system to other number systems with arbitrary base
Proved the relationship between number systems and prime numbers
Suggested the algorithm deciding whether any positive integer is prime or not
Programmed previous theorems as executable file by using Python
Machine Learning Model for Detecting Moving Objects
Forum on Career Leaders for Next-Generation Women's Mathematical Sciences, Korean Women in Mathematical Sciences, 2019 | Poster Presentation
Suggested algorithm deciding whether detected moving objects are wild boars or not
Analyzed the patterns of moving objects by using k-means clustering
Performed supervised learning with 83% accuracy by using Keras