Department Seminars and Colloquium
Woojin Kim (KAIST)Colloquium
Persistence diagrams at the Crossroads of Algebra and Combinatorics
민승기 (카이스트)ACM Seminars
An Information-Theoretic Analysis of Nonstationary Bandit Learning
Jaehong Kim (KAIST)Etc.
Introduction to complex algebraic geometry and Hodge theory #4
Keunsu Kim (POSTECH)Etc.
Topological analysis on Hamiltonian time-series data and related topological optimization
Jonghae Keum (KIAS)Colloquium
70 Years of Korean Mathematics
Graduate Seminars
SAARC Seminars
PDE Seminars
IBS-KAIST Seminars
Conferences and Workshops
Student News
Bookmarks
Research Highlights
Bulletin Boards
Problem of the week
Prove the following: There exists a bounded real random variable \( Z \) such that
\[
E[Z] = 0, E[Z^2] = 1, E[Z^3] = x, E[Z^4] = y
\]
if and only if \( y \geq x^2 + 1 \). (Here, \( E \) denotes the expectation.)
KAIST Compass Biannual Research Webzine
Prove the following: There exists a bounded real random variable \( Z \) such that
\[
E[Z] = 0, E[Z^2] = 1, E[Z^3] = x, E[Z^4] = y
\]
if and only if \( y \geq x^2 + 1 \). (Here, \( E \) denotes the expectation.)