I write down important stuff for later reference.
I used to do it in notebooks made of paper, but they are hard to edit,
hard to share, and quite non-portable.
So now I use digital formats, like PDF and HTML.
There is no single format that is appropriate for all of my notes.
As a result, my notes are stored in different places,
and each place has a different format.
Here I'll provide links to most of them.
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- TheoremDep is a website that lists many theorems and shows the dependencies between them.
Theorem X is said to be dependent on theorem Y iff Y is used as a lemma in the proof of X.
- I created TheoremDep to better organize and document my own knowledge.
TheoremDep mainly contains theorems on abstract algebra, linear algebra,
number theory, graph theory, bin-packing and probability.
- Theorems are authored in JSON+Markdown+MathJax.
ConcepDAG
converts them to an HTML+MathJax website.
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- Some of my notes don't fit into the ‘graph of theorems’ representation,
so instead of adding them to TheoremDep, I use a more self-contained format for them.
- The notes are authored in LaTeX and markdown.
LaTeX is compiled to PDF and markdown is compiled to HTML.
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- List of results in research papers I read.
Useful for surveying a topic if it contains enough content there.
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- A graphical representation of reductions among NP-complete poblems.
- I extended this into a general tool for visualizing graphs
(source code),
but I haven't yet used that for anything.