Fix some typos.

Fix equations in Definitions section which give the connection
coeficients in terms of derivatives of the metric.

Fixes CactusEinstein/1074.


git-svn-id: http://svn.einsteintoolkit.org/cactus/EinsteinBase/ADMMacros/trunk@45 b1d164ef-f17a-46e7-89d4-021c7118ef4e

1 files changed, 4 insertions, 4 deletions

diff --git a/doc/documentation.tex b/doc/documentation.tex
index fca66d5..48b11ce 100644
--- a/doc/documentation.tex
+++ b/doc/documentation.tex
@@ -57,7 +57,7 @@ To use the macros, first make sure that you really want to use the macro pointwi
 that you have already set the indices $i$, $j$, and $k$ to identify the correct grid point. 
 
 Find the name of the macro from the table in Section~\ref{admmacros:macros} and put the include 
-files in the correct place following the instructions above. Note that all ADMMacro include file
+files in the correct place following the instructions above. Note that all ADMMacro include files
 are in the directory {\tt CactusEinstein/ADMMacros/src/macros}, so this means adding lines such 
 as
 
@@ -69,7 +69,7 @@ as
 
 Each variable that the macro calculates is listed in the table of
 Section~\ref{admmacros:macros}.  Note that these variable names are
-themselves macros and are case sensitive. {\bf Always uses the macro
+themselves macros and are case sensitive. {\bf Always use the macro
 variables on the right hand sides of equations, never redefine them
 yourself, since they may be used in later (hidden) calculations.}
 
@@ -135,11 +135,11 @@ Source term in evolution equation for conformal metric, $\tilde{g}_{ij,t}$: & DC
 \section{Definitions}
 
 \begin{equation}
-\Gamma_{cab} = \frac{1}{2}\left(g_{ac,b} + g_{bc,a} + g_{ab,c}\right)
+\Gamma_{cab} = \frac{1}{2}\left(g_{ac,b} + g_{bc,a} - g_{ab,c}\right)
 \end{equation}
 
 \begin{equation}
-\Gamma^{c}_{\;\;ab} = g^{cd}\Gamma_{dab} = \frac{1}{2} g^{cd} \left(g_{ac,b} + g_{bc,a} + g_{ab,c}\right)
+\Gamma^{c}_{\;\;ab} = g^{cd}\Gamma_{dab} = \frac{1}{2} g^{cd} \left(g_{ad,b} + g_{bd,a} - g_{ab,d}\right)
 \end{equation}
 
 \section{Comments}