From 36a30c62ed7cd3637ca2a26b0b286a9f1a9a8c6d Mon Sep 17 00:00:00 2001 From: rideout Date: Thu, 11 Jul 2002 13:57:40 +0000 Subject: 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 --- doc/documentation.tex | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) (limited to 'doc') 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} -- cgit v1.2.3