2 problems

For each $n\in\mathbb{N}^{\ast}$, let $s_n=(1,\ldots,1,0)$ with $n$ entries equal to $1$. For each $a\in\mathbb{N}$, write its binary representation as $(a_i)_{i\in-\mathbb{N}}$, w…

The paper considers the energy … for embedded, arclength-parametrized curves $u:I\to\mathbb{R}^3$, where $\varkappa$ and $\varrho$ are positive and $\operatorname{TP}$ is a tangent…