Department Seminars and Colloquium
Seo, Donggyun (Seoul National University)Topology Seminar
A pants decomposition of a rose
Youngmi Hur (Yonsei University (Department of Mathematics))Colloquium
From Classical Foundations to Modern Techniques in Wavelet Expansions and Approximations
İLKER İNAM (Bilecik Şeyh Edebali Üniversitesi)Number Theory Seminar
Fast Computation of Half-Integral Weight Modular Forms and a Sato-Tate Like Problem
İLKER İNAM (Bilecik Şeyh Edebali Üniversitesi)Number Theory Seminar
Representing Some Number Sequences as Products of Fibonacci-like Sequences
권민성 (KAIST)PH.D Defence
Parameter Spaces of Conics in Adjoint Varieties and Luna-Vust Theory
Graduate Seminars
SAARC Seminars
PDE Seminars
IBS-KAIST Seminars
Conferences and Workshops
Student News
Bookmarks
Research Highlights
Bulletin Boards
Problem of the week
We write \(tx = (tx_0,…,tx_5)\) for \(x=(x_0,…,x_5)\in \mathbb{R^{6}}\) and \(t\in \mathbb{R}\). Find all real multivariate polynomials \(P(x)\) in \(x\) satisfying the following properties:
(a) \(P(tx) = t^d P(x)\) for all \(t\in \mathbb{R}\) and \(x\in \mathbb{R}^{6}\), where \(0\leq d \leq 15\) is an integer;
(b) \(P(x) =0\) if \(x_i = x_j\) with \(i\neq j\).
KAIST Compass Biannual Research Webzine
We write \(tx = (tx_0,…,tx_5)\) for \(x=(x_0,…,x_5)\in \mathbb{R^{6}}\) and \(t\in \mathbb{R}\). Find all real multivariate polynomials \(P(x)\) in \(x\) satisfying the following properties:
(a) \(P(tx) = t^d P(x)\) for all \(t\in \mathbb{R}\) and \(x\in \mathbb{R}^{6}\), where \(0\leq d \leq 15\) is an integer;
(b) \(P(x) =0\) if \(x_i = x_j\) with \(i\neq j\).