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A joke in approximating numbers raised to irrational powers

(www.andreinc.net)
104 points nomemory | 1 comments | 18 Nov 24 16:41 UTC | HN request time: 0.213s | source
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enugu ◴[19 Nov 24 19:04 UTC] No.42186957[source]▶
One interesting result implies that numbers like 3^(sqrt(3)) will be transcendental (ie no polynomial will evaluate them to 0).

https://en.wikipedia.org/wiki/Gelfond%E2%80%93Schneider_theo...

replies(2): >>42187274 #>>42187305 #
1. immibis ◴[19 Nov 24 19:39 UTC] No.42187274[source]▶
No polynomial with rational coefficients. Of course x-y evaluates to 0 when x=y, even if y is a transcendental number.