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Given a monoidal $\infty$-category $\mathcal C$ and an algebra object $A$ in $\mathcal C$, it is stated that $\operatorname{LMod}_A(\mathcal C)$ is compactly generated if $\mathcal C$ is compactly generated, and $A\otimes -$ preserves colimits in this...

The windy postman problem seeks the cheapest tour in a complete undirected graph, that traverses each edge at least once; the cost of traversing an edge is positive and may depend on the direction, in which an edge is traversed.
It can be assumed that the graph is complete....

I've already asked this question on MSE. I'm posting the question here in the hope to get some good references.
I was reading A First Course in Modular Forms from Fred Diamond and Jerry Shurman, and I wanted to determine the values of Eisenstein series of weight $1$ for $\Gamma_1(N)$ at all cusps. Let $N>2$ be a positive integer and $v=(c_v,d_v)\in(\mathbb...

Suppose that $\Omega \subseteq \mathbb{R}^n$ is an open, non empty bounded set. I would like to construct a family of closed cubes $\{ Q_j\}$ with the following properties.
\begin{align}&Q_j^\circ \subseteq \Omega \\&\Omega \subseteq \bigcup_j Q_j \\&Q_j^\circ \cap Q_k^\circ = \emptyset, \,\,\, \forall k \neq j \\&Q_j \cap \partial \Omega \neq \emptyset, \,\,\, \forall j.\end{align}...