Currently, I have to use the
F1 key to get PDF output.
I want to set up Texmaker so that it automatically shows me an in-IDE preview of the PDF file that my .tex file compiles to...as I type. How would I go about doing this?
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Try Gummi, the lightweight and very efficient alternative to Texmaker. It can do the automatic compilation as described. If you are on Ubuntu, Gummi is included in the official repository, so just do
apt-get install gummi.
Another option is to use the online (and collaborative) editor Overleaf, which can also do auto compilation but it's a bit slower.
switching a comment to an answer
Thats a function that you probably do not want: it needs some time to render an average pdf document, so it makes perfect sense to do this only if the user wants it. Rendering the pdf on every keystroke or every n Seconds would result in quite heavy disk activity and CPU load. The solution is to get used to editing the source code. A good formatting of the .tex file can help (newlines, indentation, comments...). This question has some other suggestions: Live tex compilation
I am on Ubuntu and I use the default Evince PDF viewer, which works great in the scenario.