On Sat, Apr 01, 2023 at 08:18:08AM +0200, Aloïs Cochard wrote:
How can this be useful when you have to anyway review everything is doing as he might to just randomly insert a bug or a security flaw??? I prefer to read poems by my human friends.
I highly recommend starting reading this paper at page 128 instead of wasting your time on that prompt: https://arxiv.org/pdf/2303.12712.pdf
Be ready for a good laugh
Part of the good laugh is on page 136: Let P be a point on the hyperbola x^2 + 3xy + 4x − 5y = −9y^2 − 133. Find the shortest possible distance from the origin to P. The authors of the paper say that "GPT-4 produces a sound argument", I beg to differ. Let u = 3y, then x^2 + xu + u^2 + 4x − (5/3)u = − 133. The degree-two part of which is positive-definite. The linear terms just shift the origin. So the equation is actually: r^2 + rs + s^2 = RHS For a straight-forward to compute choice of r = x - a, s = u - b. There are then two issues (just the first one is enough) with the prompt: * The equation can't represent a hyperbola, it would be an ellipse. * The ellipse doesn't exist, because the RHS constant is actually negative. THe authors are just as prone to autopilot nonsense reasoning as GPT-4. This rather reminds me of: https://math.stackexchange.com/questions/1594740/v-i-arnold-says-russian-stu... -- Viktor.