From 53adbca9899656a84acb5d12642f84c48a12adba Mon Sep 17 00:00:00 2001
From: David Tebbe <david.tebbe@rwth-aachen.de>
Date: Tue, 2 Apr 2019 00:02:04 +0200
Subject: [PATCH] Today marks the Day of the final Commit O.o

---
 T14-Stern-Gerlach/Protokoll-Stern-Gerlach.pdf | Bin 4223278 -> 4223231 bytes
 T14-Stern-Gerlach/Protokoll-Stern-Gerlach.tex |   4 ++--
 2 files changed, 2 insertions(+), 2 deletions(-)

diff --git a/T14-Stern-Gerlach/Protokoll-Stern-Gerlach.pdf b/T14-Stern-Gerlach/Protokoll-Stern-Gerlach.pdf
index 5c69fca715edf762a0b5160771cb4dcf41b09bfb..93279b4f56f42331aa5c5fcc4c273927b19b429d 100644
GIT binary patch
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diff --git a/T14-Stern-Gerlach/Protokoll-Stern-Gerlach.tex b/T14-Stern-Gerlach/Protokoll-Stern-Gerlach.tex
index 3dda590..ac77ba3 100644
--- a/T14-Stern-Gerlach/Protokoll-Stern-Gerlach.tex
+++ b/T14-Stern-Gerlach/Protokoll-Stern-Gerlach.tex
@@ -231,7 +231,7 @@
             u_0 = \frac{x_{peak rechts} - x_{peak links}}{2} 
         \end{equation}
 
-        Der Peak-Fit für $B=0$ besteht, wie bereits besprochen, aus einem parabolischen Peak mit linearen Flanken, sodass wir die Parameter $p=0.78\pm 0.04 mm^2$ und $D=1.484\pm 0.004 mm^2$ erhalten. Den Fehler auf $D$ erhalten wir durch den parabolischen Fit, der Fehler auf $p$ ergibt sich aus der Ungenauigkeit mit der wir festlegen können, ab welchen Abstand von der Peakposition die parabolische Annäherung der Kurve kein gutes Modell mehr ist und wir zu den linearen Flanken übergehen. %TODO p und D haben Einheit Quadradmillimeter?
+        Der Peak-Fit für $B=0$ besteht, wie bereits besprochen, aus einem parabolischen Peak mit linearen Flanken, sodass wir die Parameter $p=0.78\pm 0.04$ mm  und $D=1.484\pm 0.004$ mm  erhalten. Den Fehler auf $D$ erhalten wir durch den parabolischen Fit, der Fehler auf $p$ ergibt sich aus der Ungenauigkeit mit der wir festlegen können, ab welchen Abstand von der Peakposition die parabolische Annäherung der Kurve kein gutes Modell mehr ist und wir zu den linearen Flanken übergehen. 
 
         \begin{figure}[h]
             \centering
@@ -255,7 +255,7 @@
     Bei der Methode B müssen wir eine Fehlerfortpflanzung machen, wobei wir allerdings die Fehler auf $p$ und $D$ vernachlässigen können, da diese im Vergleich zu den Fehlern auf $u_0$ sehr klein sind. Somit sind die Fehler auf $u_0$ dominant und gehen die lineare Regression ein. 
 
     \begin{equation}
-        \sigma_\eta^2 = \left(3 \cdot \sigma_{u0} \right)^2+\left(\sigma_{u0} \cdot \frac{ \left(D^4-0.2 \cdot p^4\right)}{\left(D^2-\frac{p^2}{3}\right) \cdot u^2} \right)^2 
+        \sigma_\eta^2 = \left(3 \cdot \sigma_{u_0} \right)^2+\left(\sigma_{u_0} \cdot \frac{ \left(D^4-0.2 \cdot p^4\right)}{\left(D^2-\frac{p^2}{3}\right) \cdot u_0^2} \right)^2 
     \end{equation}
 
     % linreg MethodeB
-- 
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