# All Questions

Let $\Gamma$ be the unit distance graph of $\Bbb R^3$: points $(x,y)$ form an edge if $|x,y|=1$. Let $(A,B,C,D)$ be a unit side rhombus in the plane, with a transcendental diagonal, e.g. $A = ... 0answers 92 views +50 ### Lipschitz continuity of a composition operator Let$M$be a compact Riemannian submanifold of$\mathbb{R}^K$,$U\subset \mathbb{R}^K$an open neighboorhood of$M$such that the shortest point Projection$P_M\colon U\rightarrow M$is well-defined ... 1answer 175 views +50 ### Will (general points + small number of arbitrary points) impose independent condtions on plane curves? It is well known that imposing vanishing at general points of$\mathbb P^2$gives independent conditions on curves of degree$d$. Also, it is known that a small number ($\le d+1$) points always impose ... 0answers 93 views +50 ### About expectation norms on graphs Let$S \subseteq V$of a$d-$regular graph$G$such that$\mu = \frac{\vert S \vert }{\vert V \vert } $. Let$A$be the adjacency matrix of the graph. Then define the quantity$\phi(S)= ...
Given a (finite dimensional) Lie group $G$ (real $k=\mathbb{R}$ or complex $k=\mathbb{C}$) and its Lie algebra $\mathfrak{g}$, one can prove (a basis $B=(b_i)_{1\leq i\leq n}$ of $\mathfrak{g}$ being ...