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by scythe
1092 days ago
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If you're really slick about it, you even "fix" the Gaussian integral this way. Let é = e^sqrt(2pi), déx = dx/sqrt(2pi), and we have int_{R}(é^(int_0^x(t dét)) déx) = int_{R}(e^(sqrt(2pi) x^2/(2 sqrt(2pi))) dx/sqrt(2pi)) = 1/sqrt(2pi) int_{R}(e^(x^2/2) dx) = sqrt(2pi) / sqrt(2pi) = 1 |
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Now, this is a number that I don't recall having seen before. The letter é seems strangely fitting for it
é = 12.2635111...