How to Use This Site
1 The Core Workflow
Every strong topic page on this site follows the same rhythm:
Learn -> Prove -> Solve -> Apply -> Read
That means you should not only read definitions. You should also ask:
- Can I restate the idea in plain language?
- Can I follow the proof pattern?
- Can I solve a small problem with it?
- Can I point to one real application?
- Can I recognize it inside a paper?
2 How To Read A Topic Page
Use this order:
- Read the
roleandwhy it matters. - Read the
intuitionbefore the formal section. - Slow down at the
formal core. - Work through the
worked example. - Skim the
paper bridgeonly after the concept is stable.
3 How To Study Efficiently
- Pick one primary source, not five.
- Use repair sources only when a step truly blocks you.
- Write tiny summaries after each page.
- Re-derive short calculations by hand.
- Keep a running list of theorem assumptions you keep forgetting.
4 What Not To Do
- Do not confuse recognition with understanding.
- Do not collect links faster than you process ideas.
- Do not postpone proof writing forever.
- Do not wait to be “fully ready” before reading papers.