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[return to "For algorithms, a little memory outweighs a lot of time"]
1. alkyon+Jl1[view] [source] 2025-05-22 10:11:57
>>makira+(OP)
It's kind of insulting to the reader that they explain P complexity class without using the word polynomial ("all problems that can be solved in a reasonable amount of time")
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2. simpat+S62[view] [source] 2025-05-22 16:11:03
>>alkyon+Jl1
Be generous - it saves a lot of time. Once you say "polynomial" readers will think, "like, ANY polynomial, even like n^100?!" and you'll have to explain, yes, but that's STILL better than exponential, etc. They avoided all of that
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3. godels+p43[view] [source] 2025-05-22 21:17:06
>>simpat+S62
Quanta targets people who are above average. So I don't think it is too much for them to give a sentence or two stating that. Or even a little graphic could do wonders. I don't think it would take much time or effort to make a graphic like the one on wikipedia[0] and just throw in some equations within the ring. You can easily simplify too, by removing NL and merging EXP. Hell, look at the graphics here[1]. That's much more work.

I don't think Quanta should be afraid of showing math to people. That's really their whole purpose. Even if I think they've made some egregious mistakes that make them untrustable...[2]

[0] https://en.wikipedia.org/wiki/PSPACE#/media/File:Complexity_...

[1] https://www.quantamagazine.org/june-huh-high-school-dropout-...

[2] >>44067043

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4. simpat+ja3[view] [source] 2025-05-22 21:51:56
>>godels+p43
I suppose my point is that the readers who will wonder about this are a) very likely to know about complexity classes already, or b)capable of learning about it themselves. Perhaps a simple link to something like https://complexityzoo.net/Petting_Zoo would have been a nice middle-ground.

Edit: Aaronson even mentions the n^100 problem in the section about P!

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