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Jacobian Conjecture for Baby

muchmirul.github.io

21–25 of 25 posts

Re: Jacobian Conjecture for Baby

#21

beginning reeked of... maybe not ai, but bad writing but the further into the text, the better the prose by the end it was great --- good to know that conjecture has been false for real numbers for a while now

It got more and more AI towards the end.

revised for better progression *still ai assisted

Re: Jacobian Conjecture for Baby

#22
post #7

This is really good - miles ahead of almost all other math writing I have read. One particular thing I really liked was the explanation of the determinant. When I was in college I spent a very long time trying to get some intuitive explanation for a determinant of a matrix and the best I could get is that you just multiplied and subtracted some numbers and poof there you go. I KNEW there had to be some more comprehen…

Seems like it was entirely AI written (claude) from the commits: https://github.com/muchmirul/conjectures/commits/main/

revised. *ai assisted

Re: Jacobian Conjecture for Baby

#23

Earlier quoted context omitted.

Seems like it was entirely AI written (claude) from the commits: https://github.com/muchmirul/conjectures/commits/main/

Shows how well prompted AI can significantly improve human understanding. It's the slop patterns that seem to turn people off.

revised. *but still ai assisted

Re: Jacobian Conjecture for Baby

#24
post #7

This is really good - miles ahead of almost all other math writing I have read. One particular thing I really liked was the explanation of the determinant. When I was in college I spent a very long time trying to get some intuitive explanation for a determinant of a matrix and the best I could get is that you just multiplied and subtracted some numbers and poof there you go. I KNEW there had to be some more comprehen…

thanks, revised version up. please do check and hope it helps

Re: Jacobian Conjecture for Baby

#25

Earlier quoted context omitted.

Also more and more use of an extremely annoying effect: text-heavy animations that reset themselves for no reason while you're trying to read them. Step 11, for instance: no value whatsoever is added by erasing and redrawing that figure. Still, overall a very nice piece of pedagogy. If you didn't grok determinants before, this will probably help.

revised. thanks for the feedback

Great work, don't get me wrong. Looking forward to more like it!
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