From 92b04eb68773d8eb73c75bb82035b29bdbb89576 Mon Sep 17 00:00:00 2001 From: Martin Thoma Date: Sun, 27 Mar 2016 15:09:27 +0200 Subject: [PATCH] Add missing normalization factor --- .../normal-distribution.pdf | Bin 99048 -> 99602 bytes .../normal-distribution.png | Bin 141638 -> 141921 bytes .../normal-distribution.tex | 2 +- 3 files changed, 1 insertion(+), 1 deletion(-) diff --git a/documents/normal-distribution/normal-distribution.pdf b/documents/normal-distribution/normal-distribution.pdf index 266e0c694d02566b0ef4ddccd443497564678607..1bb30d440c0d4888777320e6d28671db565d5fec 100644 GIT binary patch delta 23358 zcmYhCWl-LH(C*b-X+*Fje#KdPABm@S&fcf#AE^n5LYET61Td1fCi7 zP28T+ZcfgHADBC=>rOqs%2;(mF@CFgX5h^`Yy!%h{x>F{J89OOkNf@ko_Do&sSHj0 zl46dFZzrbMce`Eb(f4z|>`Daq-}Z-Nr?mLr9=ComTzsT<`#gBhZ1DTMyxUD(14rY? z7ay-XsSh~n6XDc^Nwc8vYG4VZv9BsEgz7jd-N8`Xj8^6!{)(!{GO`d$$ z>;(;J}76xu*Dz-4?2c;6$3|h<3tG5gM 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a/documents/normal-distribution/normal-distribution.tex +++ b/documents/normal-distribution/normal-distribution.tex @@ -109,7 +109,7 @@ \caption{Approximations of $\Phi_{0;1}(x + \Delta x)$} \end{table} \begin{align*} - \Phi_{0;1}(x) &= \int_{-\infty}^{x} e^{- t^2 / 2} \mathrm{d} t & + \Phi_{0;1}(x) &= \frac{1}{\sqrt{2 \pi}} \int_{-\infty}^{x} e^{- t^2 / 2} \mathrm{d} t & \Phi_{0;1}(1.65) &\approx 0.9505\\ \Phi_{\mu; \sigma^2}(x) &= \Phi_{0;1} \left (\frac{x-\mu}{\sigma} \right ) & \Phi_{0;1}(-x) &= 1 - \Phi_{0;1}(x)