PAllen's latest activity

Unfortunately, while I have been hoping for Hau for many years (I met her once at a talk), I have developed the opinion that the Nobel...

One thing that, to me shows a missing element of actual understanding, is the completely unique mistakes the top bots still make (as of...

“They don’t miss. Gravity alone turns this into a collision, and the product is a black hole. First, the scale: a 145 g baseball at γ =...

Here is another one for comparison between free Claude.ai and the paid version. The free version analyzes the following incorrectly...

On the other hand, here is a financial example free Claude gets wrong, and the prompt needed to correct it: “I want to use an SBLOC to...

Note, 3 test problems I gave Claude 6 months ago that it got wrong, it now gets right. These had to do with local, smooth, isometric...

Here is one. Note, I get varying answers at different times, but all neglect to correctly describe the extreme anisotropy of what...

How different are the paid versions from the free versions? I have used the free versions of chat gpt, claude, and gemini. All leave me...

I agree there is something to this point of view.

I am a strong believer in absolute grading. In effect, there is a contract between teacher and student: this is the material to be...

Recursion: see recursion

I ask again what has been asked before. I don’t believe it is a violation of PF to state: here is a set of formal assumptions I tried to...

My understanding is that it would take a much stronger shell than that to keep the water liquid; so it would beak or stretch.

I freeze glass jars with water filled to 2/3 all the time, with no breakage. They are covered, but not securely airtight. So, after...

Frequently Doppler is used to define mutual rest, by absence of shift. Of course this is just one definition, but it is ONE. It...