Earlier quoted context omitted.
> best LLMs are able to accelerate you https://www2.math.upenn.edu/~ghrist/preprints/LAEF.pdf - this math textbook was written in just 55 days! Paraphrasing the acknowledgements - ...Begun November 4, 2024, published December 28, 2024. ...assisted by Claude 3.5 sonnet, trained on my previous books... ...puzzles co-created by the author and Claude ...GPT-4o and -o1 were useful in latex configurations...doing proof-rea…
"The story of linear algebra begins with systems of equations, each line describing a constraint or boundary traced upon abstract space. These simplest mathematical models of limitation — each equation binding variables in measured proportion — conjoin to shape the realm of possible solutions. When several such constraints act in concert, their collaboration yields three possible fates: no solution survives their col…
The overuse of the $15 synonyms is almost always a bad idea--you want to use them sparingly, where dropping them in for their subtly different meanings enhances the text. But what is extremely sloppy here is that the possibilities of "no solutions, one solution, infinite solutions" is now being described with a different metaphor for solution here. And by the end of the paragraph, I'm not actually sure what point I'm supposed to take away from this text. (As bad as this paragraph is, the next paragraph is actually far worse.)
Mathematics already has a problem for the general audience with a heavy focus on abstraction that can be difficult to intuit on more concrete objects. Adding florid metaphors to spice up your writing makes that problem worse.