Discord server Geometry & Physics
for discussing research topics in geometry and physics
to join, go to discord.gg/cRAD7qmHT?
where '?' should be replaced by the value of the following:
[rank of the group E_8] - [dimension of the group E_7] + [order of the Weyl group of E_6] - 51712
Recommended sites Vedátor SK an amazing science popularization project (in Slovak)
Quark a popular-science magazine in Slovakia
xkcd an awesome webcomic
Some useful LaTeX tips that make a huge difference
thanks in particular to Rik Voorhaar,
Karel Kolar,
Lukas Konecny, Jimmy Found,
Igor Khavkine,
Samuel Valach,
Mark Bugden,
when using beamer, put \beamertemplatenavigationsymbolsempty to get rid of the "navigation bar"
use \colon when writing f: A → B
use \coloneqq when writing := (uses the package mathtools)
to get correct spacing, when writing abbreviations (J. Smith, e.g., etc.) use J.\ Smith
for (simple) graphics, use tikz
you can often avoid using braces, e.g. \expression abc instead of \expression{a}{b}{c}
\frac12 instead of \frac{1}{2} (since numbers are never interpreted as part of LaTeX macros)
\mid for the vertical line in the set-builder notation (e.g. \{ n^3 \mid n \in \mathbb N \})
use \DeclareMathOperator for operators like im, ker, sup, ... (makes better spacing than \mathrm)
use Detexify to find out how to write a particular symbol
mhchem for chemical formulas
\tfrac (textstyle fraction) is often more appropriate than \frac (the opposite command is \dfrac)
\hphantom{text} (and \vphantom) to get the right spacing
when splitting \left( ... \right) into 2 lines, use \right. at the end of the 1st line and \left. at the start of 2nd