f(f(x)) = x² - x + 1
f(0) = ?
(@edsaperia inflicted this on me earlier :P )
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Replying to @zarawesome @edsaperia
f(x) is a function such that f(f(x)) = x² - x + 1
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Replying to @increpare @edsaperia
well f(x) is not polynomial so that's something http://yaroslavvb.com/papers/rice-when.pdf …
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Replying to @zarawesome @edsaperia
@undefdev linked me to this paper earlier today, and I don't fully understand the limits of its implications(I think just for complex plain)1 reply 0 retweets 0 likes -
Replying to @increpare @zarawesome and
(plain/planes. I think real functions are safe, but I don't know a paper for that)
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Replying to @increpare @zarawesome and
Since real functions are a subset of complex functions, I think the result of the paper applies here
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Replying to @VenkatKollati @increpare and
for polynomial functions, sure. I assume the solution is non-polynomial
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Replying to @zarawesome @increpare and
From the paper: "… the phrase 'no function f whatever' is to be taken literally and does not mean 'no entire f' or 'no continuous f' etc"
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So restricting domains can allow new solutions to functional equations in principle
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