How to write an atomic note

I guess that the main problem for me is that many times, just to set the ground, you have to put it definitions and equations that require a lot of words.
Even writing an example is usually word-consuming.
When I have a particular idea about something - I find myself first laying out all the things needed (definitions and formulation of the problem) and only then I can write my idea.
I guess that there are ways to do it better and I just did not find them yet.
I looked on the web and did not found yet someone sharing his note-taking method of sciences like math and physics…

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