# Tagged Questions

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### Length of a curve by integration: why won't flat segments do?

Maybe my question is a duplicate, but I guess I don't know the right terminology to find it elsewhere. I would be happy to delete it if someone can point out a duplicate. From elementary calculus, ...
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### Question about statement of Rank Theorem in Rudin

Theorem Suppose $m,n,r$ are nonnegative integers, $m\ge r, n\ge r$, $F$ is a $C^1$ mapping of an open set $E\subset \mathbb{R}^n$ into $\mathbb{R}^m$, and $F'(x)$ has rank $r$ for every $x\in E$. ...
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### basic analytical set of tools — integration, differentiation, convergence and handling of applied maths equations

I am more into mathematical logic, algebra, etc. I am asking for a scrib sheet or short and precise collection of a set of tools which somehow demonstrates the everyday set of tools for integration, ...
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### Intuitive test of convergence

Are there any intuitive tests that might help one decide whether a sequence of functions converges / converges uniformly? For example, an intuitive test I have recently realized for uniform continuity ...
I'm trying to sample a lot of points efficiently. I'm wondering if the following method is possible. I sample points of a function (evaluate the function) mod $n$. I.e. I calculate f(element one), ...