Department Seminars and Colloquium
Jarosław Buczyński (Institute of Mathematics, Polish Academy of Scienc)Algebraic Geometry
Cactus schemes, catalecticant minors and singularities of secant varieties to high degree Veronese reembeddings
Junho Yang (Institute of Statistical Science, Academia Sinica)Statistics & Probability
Fourier analysis of spatial point processes
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
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.)