lcsim/src/org/lcsim/contrib/JanStrube/vtxFitter

diff -u -r1.10 -r1.11
--- vertexing.lyx	10 Sep 2006 11:47:32 -0000	1.10
+++ vertexing.lyx	29 Nov 2006 02:26:07 -0000	1.11
@@ -1,4 +1,4 @@

-#LyX 1.4.1 created this file. For more info see http://www.lyx.org/

+#LyX 1.4.2 created this file. For more info see http://www.lyx.org/

 \lyxformat 245
 \begin_document
 \begin_header

@@ -356,10 +356,6 @@

 
 \end_inset
 

-
-\end_layout
-
-\begin_layout Standard

 using 
 \begin_inset Formula $\tilde{p}_{t}=p_{t}/[p_{t}]$
 \end_inset

@@ -465,6 +461,41 @@

  exclusively in terms of the track measurements and the tracklength parameter.
 \end_layout
 

+\begin_layout Subsubsection
+Derivatives of space and momentum in terms of the track parameters
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula \begin{eqnarray*}
+\frac{\dd x}{\dd d_{0}} & = & \sin(\phi_{0})\\
+\frac{\dd y}{\dd d_{0}} & = & -\cos(\phi_{0})\\
+\frac{\dd z}{\dd d_{0}} & = & \frac{\dd p_{x}}{\dd d_{0}}=\frac{\dd p_{y}}{\dd d_{0}}=\frac{\dd p_{z}}{\dd d_{0}}=0\\
+\frac{\dd x}{\dd\phi_{0}} & = & (r-d_{0})\cos(\phi_{0})-r\cos(\phi)\\
+\frac{\dd y}{\dd\phi_{0}} & = & (r-d_{0})\sin(\phi_{0})-r\sin(\phi)\\
+\frac{\dd z}{\dd\phi_{0}} & = & 0\\
+\frac{\dd p_{x}}{\dd\phi_{0}} & = & -p_{t}\sin(\phi)\\
+\frac{\dd p_{y}}{\dd\phi_{0}} & = & p_{t}\cos(\phi)\\
+\frac{\dd p_{z}}{\dd\phi_{0}} & = & 0\\
+\frac{\dd x}{\dd\omega} & = & -r^{2}(\sin(\phi_{0})-\sin(\phi))\\
+\frac{\dd y}{\dd\omega} & = & r^{2}(\cos(\phi_{0})-\cos(\phi))\\
+\frac{\dd z}{\dd\omega} & = & 0\\
+\frac{\dd p_{x}}{\dd\omega} & = & -\frac{p_{t}}{\omega}\cos(\phi)+p_{t}l\sin(\phi)\\
+\frac{\dd p_{y}}{\dd\omega} & = & -\frac{p_{t}}{\omega}\sin(\phi)-p_{t}l\cos(\phi)\\
+\frac{\dd p_{z}}{\dd\omega} & = & -\frac{p_{t}}{\omega}\tan(\lambda)\\
+\frac{\dd x}{\dd\tan(\lambda)} & = & -\cos(\phi)l\frac{\tan(\lambda)}{1+\tan^{2}(\lambda)}\\
+\frac{\dd y}{\dd\tan(\lambda)} & = & -\sin(\phi)l\frac{\tan(\lambda)}{1+\tan^{2}(\lambda)}\\
+\frac{\dd z}{\dd\tan(\lambda)} & = & l\\
+\frac{\dd p_{x}}{\dd\tan(\lambda)} & = & -p_{t}\sin(\phi)\omega l\frac{\tan(\lambda)}{1+\tan^{2}(\lambda)}\\
+\frac{\dd p_{y}}{\dd\tan(\lambda)} & = & p_{t}\cos(\phi)\omega l\frac{\tan(\lambda)}{1+\tan^{2}(\lambda)}\\
+\frac{\dd p_{z}}{\dd\tan(\lambda)} & = & p_{t}\\
+\frac{\dd x}{\dd z_{0}} & = & \frac{\dd y}{\dd z_{0}}=\frac{\dd p_{x}}{\dd z_{0}}=\frac{\dd p_{y}}{\dd z_{0}}=\frac{\dd p_{z}}{\dd z_{0}}=0\\
+\frac{\dd z}{\dd z_{0}} & = & 1\end{eqnarray*}
+
+\end_inset
+
+ 
+\end_layout
+

 \begin_layout Subsection
 From space and momentum to track parameters
 \end_layout

@@ -520,7 +551,7 @@

 .
 \end_layout
 

-\begin_layout Subsection

+\begin_layout Subsubsection

 Derivatives of the track parameters wrt.
  space and momentum components
 \end_layout