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# 26 Actions

 Mar6 revised For which coverings by “geometrically nice” sets does the nerve admit “Vietoris-Rips-like” approximations? Language Mar6 asked For which coverings by “geometrically nice” sets does the nerve admit “Vietoris-Rips-like” approximations? Jun21 comment $\int f(x) dx$ is appearing as $\int dx f(x)$. Why? One "justification" I've heard is that if you consider integration as a function taking, say, integrable functions to real number, then writing $\int \mathrm{d}x f$ sort of looks like "applying the function $\int \mathrm{d}x$ to $f$". I don't like the argument myself, but it's one I've heard at least. Jun21 comment $\int f(x) dx$ is appearing as $\int dx f(x)$. Why? It's just notation. Jun20 awarded Critic Jun19 comment What is the usefulness of matrices? Also, if the teacher who couldn't answer your question is the same one who is teaching you about matrices, I would be very skeptical of her and the course. Jun19 comment What is the usefulness of matrices? A matrix is a way to express a linear map between finite-dimensional vector spaces, given a choice of bases for said spaces. Since linear maps are useful, matrices are obviously useful. May21 awarded Editor May21 revised Locally closed subspaces and sheaves. Missing restriction in final formula. May21 awarded Teacher May18 answered Locally closed subspaces and sheaves. May18 awarded Commentator May18 awarded Citizen Patrol May16 comment Pullback of a locally constant sheaf by a function whose domain is simply connected No, no problem. I realized my comment was nonsensical. Everything you say is essentially direct. May16 awarded Scholar May16 accepted Pullback of a locally constant sheaf by a function whose domain is simply connected May16 awarded Student May16 asked Pullback of a locally constant sheaf by a function whose domain is simply connected Apr18 comment Is there a way of defining the notion of a variable mathematically? The word "variable" means many different things, and many of these meanings are non-rigorous. What do you mean by "variable"? Apr12 comment Improving my understanding of Cantor's Diagonal Argument @MooingDuck: I hope I'm not turning this into a chat, but regarding the second question, one thing (probably already pointed out) springs to mind: What do you mean by "the last element" in this infinite sequence?