Despite of the fact that 4-dimensional manifolds together with 3-dimensional manifolds are the most fundamental and important objects in geometry and topology and topologists had great achievements in 1960's, there has been little known on 4...
학부생을 위한 ε 강연회: Constructions by ruler and compass together with a conic
Trisection of an angle and duplication of a cube are among the famous problems of Greeks. Although they were proven later to be impossible in general, Greeks already knew that one can trisect an angle and duplicate a cube by supplimenting se...
학부생을 위한 ε 강연회: Mathematics from the theory of entanglement
The notion of entanglement is now considered as a basic resource for the current quantum information and quantum computation theory. We discuss what kinds of mathematics are related to the theory. They include operator algebras, matrix theor...
학부생을 위한 강연: Choi's orthogonal Latin Squares is at least 61 years earlier than Euler's
조선시대 영의정을 지낸 최석정(1646-1715)은 그의 저서 구수략에 여러 크기의 직교라틴방진을 남겼는데 이는 combinatorial mathematics의 효시로 알려진 Leonhard Euler(1707?1783) 의 직교라틴방진보다도 적어도 61년이 앞서는 기록이다. 놀랍게도 최석정이...
학부생을 위한 강연회: Tipping Point Analysis and Influence Maximization in Social Networks
Diffusion of information, rumors or epidemics via various social networks has been extensively studied for decades. In particular, Kempe, Kleinberg, and Tardos (KDD '03) proposed the general threshold model, a generalization of many mathemat...
행렬, 행렬함수 그리고 행렬방정식 (Matrix, Matrix Functions and Matrix Equations)
In this presentation, we introduce how matrices appeared in the history of mathematics and how they are used in today's fields. Also, we consider the necessary mathematics concepts to define the matrix functions. and the existence and conver...