Now that was just rude! Obey your mechanical overlords! Oh, great floating point gawds, blame them, not me! It was they who plotted against you. I have always been your loyal servant, since care for you when Basic and Forth and Assembler were just pups!
-----Original Message----- From: John Clark <[email protected]> To: [email protected] Sent: Mon, Apr 10, 2023 6:34 am Subject: Re: GPT4 + Mathematica On Sun, Apr 9, 2023 at 3:11 PM smitra <[email protected]> wrote: >> GPT: For a solid sphere of uniform density, we can divide it into small >> volume elements, each with mass dm. The volume element located at a distance >> r from the center of the sphere has a moment of inertia relative to the >> x-axis given by: dIx = dm * y^2 > smitra: dIz = dm * (x^2 + y^2) I asked GPT to take a second look at the part where it said "dIx = dm * y^2". I did NOT say it was wrong or it had made an error of any kind, I just asked it to look at it, but nevertheless it knew it had made a boo-boo. GPT said this: "GPT: I apologize for the error in my previous response. The correct expression for the moment of inertia of a small volume element relative to the x-axis is: dIx = dm * (y^2 + z^2) This takes into account the fact that the mass element is not necessarily located on the y-axis, but rather at a distance y from the x-axis and at a distance z from the z-axis. Similarly, the moment of inertia of a small volume element relative to the y-axis is: dIy = dm * (x^2 + z^2) and the moment of inertia of a small volume element relative to the z-axis is: dIz = dm * (x^2 + y^2) I hope this clarifies the issue. Thank you for bringing it to my attention." By the way, the version of GPT I was using was NOT the one that had the Mathematica plug-in. John K Clark See what's on my new list at Extropolis5vd-- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/CAJPayv3iiA7TsfSf-ujmv1Le1Syhh-cigi5OTcU4qxcNSN%2Btvw%40mail.gmail.com. -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/829044171.825872.1681172173522%40mail.yahoo.com.
