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GavinB | 2 years ago
Total Sky Area=4π×(2π360)^2×60^2 = 148,510,660 square arcminutes (you can also look this up easily)
NIRCam has 9.7 square arcminutes FOV (Yes, I double checked this)
NIRCam resolution is 2048 × 2048 x 2 modules for 2.4–5.0 µm (there are lots of different cameras and modules you could look at to make this estimate, but for a sense of magnitude this will work. If you looked at 0.6–2.3 µm that would be roughly 4x as many pixels for the 8 modules, I think? Again, napkin math for fun.)
Total FoVs Needed = 148,510,660.8 / 9.7 ≈ 15,310,377 FoVs
Total Pixels = (2048×2048×2)×15,310,377 ≈ 128,432,754,096,706 pixels
LLMs used to be quite awful at math. Now they're solving quite complicated problems with sophisticated plugins. This is a simple and straightforward calculation, just getting the FOV and its resolution and then projecting that onto a sphere. And, yes, I probably should have posted the full calculation, it's definitely more interesting to see it all written out.
krapp|2 years ago
I've seen people post results from ChatGPT with confidence only to realize they get another result if they try again a few more times (of course, they never bothered.) It's a statistical model, in which case the math can never be trusted entirely, or else it's just making an API call to a normal math library, in which case what even is the point? Either way, there are already better tools for the job.
Needing "sophisticated plugins" to do basic math accurately should send people running away screaming from these damned things. I'll concede they have utility but we don't need to abandon our minds, hearts and wills to them entirely.
GavinB|2 years ago
That said, I disagree with the assertions made in your post. ChatGPT is a great tool for saving time in doing simple research and calculations, as long as you double check it. It wasn't a year ago, but it is now.
I know, I'm scared by it, too!