"hyperexponentiall" is not a word. It's a marketing device. Same way libertarian-approaching promised he would send humans to Mars by 2024 at the latest. It's vaporware desperate to get suckers to invest, invest, invest.

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[–] Dessa@hexbear.net 4 points 3 days ago (1 children)

Honestly, I don't hate it. I hate the guy that said it, but the meaning is clear enough and sticks to common rules for making up words in english.

It's about as valid as "hypersonic missiles" which are just supersonic missiles with extra steps.

If x^2 is exponential, x^200 is still exponential, but with a more extreme curve

[–] Sodium_nitride@lemmygrad.ml 3 points 3 days ago

Math fun fact time:

Neither x^2 and x^200 are exponential growth, they are polynomial growth. 2^x or 200^x would be exponential growth. After a certain point, all exponential curves will outpace any polynomial curve.

So after a certain x, 2^x will outpace even x^200. This happens at around x=2224, after which 2^x will always be bigger than x^200.

If you know the rules for indices and logarithms, you can see why this is. We can take the logarithm of both functions which converts them both into slower forms that we can understand easily.

log(2^x) simplifies to x log(2), which grows linearly. However, log(x^200) simplifies to 200 log(x), which grows according to log(x), a painfully slow growing function that quickly grinds to a near halt.