Department Seminars and Colloquium
Keomkyo Seo (Sookmyung Women's Univ.)Differential Geometry
Overdetermined boundary value problems in a Riemannian manifold
Taeyoon Woo (KAIST)Etc.
Grothendieck groups of regular schemes 1
Haeun Moon (Seoul National University (Department of Statistic)Colloquium
A framework to infer de novo exonic variants when parental genotypes are missing enhances association studies of autism
Taeyoon Woo (KAIST)Etc.
Grothendieck groups of regular schemes 1
Taehee Kim (Konkuk University)Topology Seminar
The 4-genus of knots
Graduate Seminars
SAARC Seminars
PDE Seminars
IBS-KAIST Seminars
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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 \(i\neq j\).