I reviewed the notes in the infinite series today and found a problem. And this question even touches on writing thoughts.
During the reading process, I feel that a large number of colloquial sentences have brought difficulties to comprehension, and some sentences that seem to make the writing clear and smooth make the key points elusive. In addition, this point brings trouble when describing the motivation of the theorem proof. The motivation of the proof corresponds to the parts of the whole process, so after breaking away from the original complete process, this colloquial motivation may not only not be able to assist understanding, but it will make the writing become extraneous. The purpose of recording motivation is to assist understanding, so it should not be written too complicated and should be carefully worded here .
When describing a theorem, it should be made available, as in doc. Indicate its applicable conditions, highlight its main content and core derivation, and dilute its detailed process (which can be folded or quoted). In the process of expressing the knowledge framework, the meaning and branch basis of the next few branches should be explained before the main trunk, so that people can easily understand the ins and outs.
When describing the proof of the theorem (more generally, it can be extended to all situations), the use of function words should be adjusted so that they can act as clauses in places with extremely dense content, and should generally be used sparingly.
Each topic is controlled at most two levels, and in general there are three levels, so that the logic is relatively clear and not complicated. To reflect its advantages as a written form, it does not have to be as single-line as spoken language.
9.7 Update
Actually, motivation is more abstract than the conclusion that can be used. There is no guarantee that examples can be found easily, and sometimes it is metaphysical. So when you write, you can fold it up, which is a dispensable part for use . The notebook comes as an easy-to-use thing.