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Do you have a screenshot of how that looks in the other apps?
This is something I want to implement in a future update.
Thanks for letting me know. I can reproduce the issue and will fix it in the next update.
I assume you are talking about the Markdown preview. Currently, Textastic uses the Discount Markdown library for preview, which does support the "PHP Markdown extra" table syntax, but not MultiMarkdown. See http://www.pell.portland.or.us/~orc/Code/discount/... for details.

I plan to replace the Discount library with a MultiMarkdown library in a future release.
If I understand you correctly then this is already possible. Have a look at the textastic:// url scheme documentation at http://www.textasticapp.com/v4/manual/x-callback-... - Have a look at the section at the end of the document called "Download using the textastic:// scheme".

You can also use a bookmarklet like the one from http://feedback.textasticapp.com/topic/204856-book..
I see. I don't think this can be done with the current implementation of the symbol list. The symbol list code really just sees "\section{\homeworkProblemName}" and does a regular expression search/replace operation which results in "\homeworkProblemName". It can't evaluate custom commands defined in another part of the document which would be necessary in this case.

So the symbol list would need to be much smarter and actually evaluate the LaTeX code to display something more sensible.
There was a crash under iOS 7 which was fixed in the latest iPad update. I plan to release an update of the iPhone version in a few weeks. This should fix the problem on your device.
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Undo and Redo buttons do come up when the editor has focus (keyboard is visible).