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So that I don't have to retype them every single time. e.g. I'll only need to type "Fourier transform" to get the template.

Sure, I could look up the Latex code from the page source in Wikipedia, but it would be nicer if I could search the code directly.

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    This is not what $y$ou are looking for, but maybe it's notable that on the arxiv you can also access the latex source code that was submitted.2011-04-01

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You can easily use $\backslash$newcommand to create your own package with commands you often use. Another nice website to find symbols, whose name you always forget, is http://detexify.kirelabs.org/classify.html

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    The first idea I mentioned was defining something like \newcommand{euler}{$e^{i\pi}+1=0$}. Then you can use the command \euler to print this formula. You can create your own collection of handy commands this way.2011-04-02