In the comment to this answer: https://math.stackexchange.com/a/144819/21919

the last display formula shows $...-f(x\,0)$ instead of $\ldots-f(x_0)$, though it is not a misprint. I tried to edit it, and to post the whole comment anew, but this little bug persists. It shows in Chrome (version 27.0.1453.116 m) and IE 8 under Windows 7.

Here's my original TeX code:

Nice! However, I had hard time understanding the last sentence, so maybe it is worth to supply a few more details as follows: Let $V$ denote the variation over the partition chosen within $\epsilon/2$ of $TV(f_{[x_1,x_0]})$ as described above. Then $$TV(f_{[x_1,x_0]})< V+\epsilon/2.$$ Also, $V-|f(x)-f(x_0)|$ is some variation over interval $[x_1,x]$, so we have: $$TV(f_{[x_1,x]})\ge V-|f(x)-f(x_0)|.$$ Finally, $TV(f_{[x_1,x_0]})=TV(f_{[x_1,x]})+TV(f_{[x,x_0]})$, so that: $$TV(f_{[x,x_0]})=TV(f_{[x_1,x_0]})-TV(f_{[x_1,x]})<(V+\epsilon/2)-(V-|f(x)-f(x_0)|)<\epsilon/2+\epsilon/2=\epsilon.$$


1 Answer 1


This answer addresses the same problem. It is best to insert a space every so often into MathJax in a comment so that there are not 80 characters unbroken by spaces.

In the comment in consideration,


is 80 characters. The two unicode spaces are inserted between the underscore and the zero, interrupting the MathJax.

  • $\begingroup$ Thanks! This really explains it! $\endgroup$
    – mathreader
    Jul 10, 2013 at 7:14

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