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Kind of passage to the limit in the sense of distributions

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up vote 0 down vote favorite Suppose $B$ is a ball in $mathbb{R}^{n}$ with $n>1$ , and $f$ a locally integrable function. Suppose $F$ is a closed set with empty interior and $M>0$ such that the distribution defined by $f$ satisfies begin{equation} int_{Bsetminus F}f(t)phi(t)dtleq M end{equation} for all test function $phi$ . We know that if we had $$f(x)leq M$$ for all $xin Bsetminus F$ , we could get the same inequality by passing to the limit (supposing that $f$ is continuous); is it possible, in the same way, to circumvent around $F$ in (1) and prove that (1) holds for integrals over $B$ ? real-analysis integration distribution-theory share | cite | improve this question

Pgfplotstableset, longtable and subcaption

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up vote 0 down vote favorite I am using pgfplotstableset and longtable to read data from a file and format it into a table composed of several subtables. I have managed to create the table and to include a caption over it. However, I would also like to include a subcaption over each one of the subtables and I have not been able to do it. The desired output should look like: I have created the table above with caption* . However, I would prefer to use subcaption to maintain the consistency of my references. Below, I include the minimal code, which I have used to create the table above. I have tried replacing caption* with subcaption and I get the following error: ! Package caption Error: subcaption outside float. Minimal code. article.tex: documentclass{article} usepackage{conf-simple} begin{document} includetabl