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4 May 2024
m 01:53 | Pi Squared is Irrational/Proof 1/Lemma diffhist +2 Robkahn131 talk contribs |
m 01:53 | Pi Squared is Irrational/Proof 3 diffhist +28 Robkahn131 talk contribs |
m 01:52 | Pi Squared is Irrational/Proof 1 diffhist +28 Robkahn131 talk contribs |
3 May 2024
N 14:03 | Pi Squared is Irrational/Proof 3 diffhist +4,316 Robkahn131 talk contribs (Cosine version of proof 1) |
N 14:02 | Pi Squared is Irrational/Proof 3/Lemma diffhist +6,988 Robkahn131 talk contribs (Created page with "== Pi Squared is Irrational: Lemma == <onlyinclude> Let $n \in \Z_{\ge 0}$ be a positive integer. Let it be supposed that $\pi^2$ is irrational, so that: :$\pi^2 = \dfrac p q$ where $p$ and $q$ are integers and $q \ne 0$. Let $A_n$ be defined as: :$\ds A_n = \frac \pi 2 \frac {p^n} {n!} \int_0^1 \paren {1 - x^2 }^n \map \cos {\dfrac {\pi x} 2} \rd x$ Then: :$A_n = \paren {16...") |