fix tutorial

tutorial/slides/CoCoTutorial.tex

@@ -279,13 +279,13 @@ $$
    \item \texttt{''IntercorrelationMaps``}: Dictionary with names of systematics to correlate and related attributes
    \begin{itemize}
     \item \texttt{strategy}: Strategy to calculate correlation between two parameters (1 and 2) from two \texttt{ResultSet}s (A and B) in the \texttt{FULL} case. Possible options include \\
-    $\texttt{MIN}=\text{min}(\rho^{12}_{A},\rho^{12}_{B})$\\
-    $\texttt{MAX}=\text{max}(\rho^{12}_{A},\rho^{12}_{B})$\\
-    $\texttt{AVG}=(\rho^{12}_{1}+\rho^{12}_{2})/2$\\
+    $\texttt{MIN}=\text{min}(|\rho^{A}_{12}|,|\rho^{B}_{12}|)\cdot(\sign(\text{min}(|\rho^{A}_{12}|,|\rho^{B}_{12}|)))$\\
+    $\texttt{MAX}=\text{max}(|\rho^{A}_{12}|,|\rho^{B}_{12}|)\cdot(\sign(\text{max}(|\rho^{A}_{12}|,|\rho^{B}_{12}|))$\\
+    $\texttt{AVG}=(\rho^{A}_{12}+\rho^{B}_{12})/2$\\
     $
       \texttt{SQRT}= 
   \begin{cases}
-      \sign(\rho^{12}_1)\cdot\sqrt{\rho^{12}_1\cdot\rho^{12}_2},& \text{if } \sign(\rho^{12}_1)=\sign(\rho^{12}_2)\\
+      \sign(\rho^{A}_{12})\cdot\sqrt{\rho^{A}_{12}\cdot\rho^{B}_{12}},& \text{if } \sign(\rho^{A}_{12})=\sign(\rho^{B}_{12})\\
       \texttt{AVG},              & \text{otherwise}
   \end{cases}
   $
@@ -344,7 +344,7 @@ $$
  \item Example 3 is a simplified average of the $B_{s}^{0}\to J/\psi KK$ measurements by the LHC
  \item The experiments quote different sets of parameters which can still be combined
  \item E.g. CMS and LHCb quote the polarisation fractions $|A_{\perp}|^2$ and $|A_{0}|^2$ and ATLAS quotes $|A_{\parallel}|^2$ and $|A_{0}|^2$
- \item[] $\rightarrow$ fit $|A_{\perp}|^2$ in the combination transforming $|A_{\parallel}|^2 = \sqrt{1-\left(|A_{0}|^2\right)^2-\left(|A_{\perp}|^2\right)^2}$
+ \item[] $\rightarrow$ fit $|A_{\perp}|^2$ in the combination transforming $|A_{\parallel}|^2 = 1-|A_{0}|^2-|A_{\perp}|^2$
  \item[]
 \end{itemize}
 \centering
@@ -390,7 +390,7 @@ Including translators
 \begin{frame}{Final remarks}
 Other features
 \begin{itemize}
- \item Gaussian constraints: Just add a \texttt{ResultSet} with the central value and error un the parameter(s) you want to constrain
+ \item External constraints: Just add a \texttt{ResultSet} with the central value and error un the parameter(s) you want to constrain
  \item \texttt{printLatexTable}: Prints final correlation table in a \texttt{LaTeX} file
  \item[]
 \end{itemize}