[Commits] [svn:einsteintoolkit] AHFinderDirect/trunk/doc/ (Rev. 1544)

hinder at einsteintoolkit.org hinder at einsteintoolkit.org
Sat May 22 08:24:43 CDT 2010


User: hinder
Date: 2010/05/22 08:24 AM

Modified:
 /trunk/doc/
  documentation.tex

Log:
 Replace \text{...} with {\text{...}} in documentation to work with htlatex.
 Patch by Barry Wardell.

File Changes:

Directory: /trunk/doc/
======================

File [modified]: documentation.tex
Delta lines: +18 -18
===================================================================
--- trunk/doc/documentation.tex	2010-04-28 19:46:23 UTC (rev 1543)
+++ trunk/doc/documentation.tex	2010-05-22 13:24:42 UTC (rev 1544)
@@ -910,7 +910,7 @@
 The 3~regions are defined as follows:  For a grid point a distance $r[i]$
 from horizon~$i$'s local coordinate origin, with horizon~$i$'s radius
 in this same direction (again, measured from its local coordinate origin)
-being $r_\text{horizon}[i]$,%%%
+being $r_{\text horizon}[i]$,%%%
 \footnote{%%%
 	 Note that these are flat-space distances
 	 $[(x-x_0)^2 + (y - y_0)^2 + (z-z_0)^2]^{1/2}$
@@ -920,15 +920,15 @@
 \begin{equation}
 \renewcommand{\arraystretch}{1.333}
 \begin{tabular}{l@{~}lll@{~}lll}
-$r[i] \le r_\text{inner}[i]$	& \text{for some $i$}
+$r[i] \le r{	ext{r}}[i]$	& \text{for some $i$}
 	&
 	&				&
 	& $\Rightarrow$	& \text{inner}					\\
-$r[i] >   r_\text{inner}[i]$	& \text{for all $i$}
+$r[i] >   r_{\text{r}}[i]$	& \text{for all $i$}
 	& \text{and}	&
-	$r[i] \le r_\text{outer}[i]$	& \text{for some $i$}
+	$r[i] \le r_{\text{r}}[i]$	& \text{for some $i$}
 	& $\Rightarrow$	& \text{buffer}					\\
-$r[i] >   r_\text{outer}[i]$	& \text{for all $i$}
+$r[i] >   r_{\text{r}}[i]$	& \text{for all $i$}
 	&
 	&				&
 	& $\Rightarrow$	& \text{outer}				%%%\\
@@ -938,20 +938,20 @@
 \begin{equation}
 \renewcommand{\arraystretch}{1.333}
 \begin{array}{lcl}
-r_\text{inner}
-	& = &	\verb|mask_radius_multiplier| \times r_\text{horizon}
+r_{\text{r}}
+	& = &	\verb|mask_radius_multiplier| \times r_{\text{n}}
 		\,\,+\,\,
-		\verb|mask_radius_offset| \times {\Delta x}_\text{base}
+		\verb|mask_radius_offset| \times {\Delta x}_{\text{e}}
 									\\
-r_\text{outer}
-	& = &	r_\text{inner}
+r_{\text{r}}
+	& = &	r_{\text{r}}
 		\,\,+\,\,
-		\verb|mask_buffer_thickness| \times {\Delta x}_\text{base}
+		\verb|mask_buffer_thickness| \times {\Delta x}_{\text{e}}
 									%%%\\
 \end{array}
 				\label{AHFinderDirect/eqn-r-inside-outside}
 \end{equation}
-and where ${\Delta x}_\text{base}$ is the base-grid Cactus grid spacing
+and where ${\Delta x}_{\text{e}}$ is the base-grid Cactus grid spacing
 (more precisely, the geometric mean of the base grid's $x$, $y$,
 and $z$ Cactus grid spacings)%%%
 \footnote{%%%
@@ -971,8 +971,8 @@
      \end{tabular}
      ]
 \mbox{}\\
-	These parameters are used to define the radia $r_\text{inner}$
-	and $r_\text{outer}$ in
+	These parameters are used to define the radia $r_{\text{r}}$
+	and $r_{\text{r}}$ in
 	equation~\eqref{AHFinderDirect/eqn-r-inside-outside} above.
 
 	Note that the sign convention here is that
@@ -1051,7 +1051,7 @@
 		     * {\Delta x}_{\text{current},\max}
 	\end{equation}
 	where $r_{\text{inner},\min}$ is the minimum over all angles
-	of $r_\text{inner}$ as defined by
+	of $r_{\text{r}}$ as defined by
 	equation~\eqref{AHFinderDirect/eqn-r-inside-outside},
 	and ${\Delta x}_{\text{current},\max}$ is the maximum of the
 	Cactus $x$, $y$, and~$z$ grid spacings on the current Cactus
@@ -1060,7 +1060,7 @@
 	 Note that this is the {\bf current\/} Cactus
 	 grid spacing, not the {\bf base\/} Cactus grid
 	 spacing that's used when calculating
-	 $r_\text{outer}$ and $r_\text{inner}$ by
+	 $r_{\text{r}}$ and $r_{\text{r}}$ by
 	 equation~\eqref{AHFinderDirect/eqn-r-inside-outside}.
 	 }%%%
 {}	If this condition isn't satisfied, then \thorn{AHFinderDirect}
@@ -1582,11 +1582,11 @@
 black hole diagnostics file(s), are typically computed to accuracies
 on the order of a part per million or so.
 
-Note, however, that the irreducible mass $m_\text{irreducible}$
+Note, however, that the irreducible mass $m_{\text{e}}$
 may differ considerably from the black hole's local mass or its
 contribution to the slice's ADM mass.  For example, for Kerr spacetime
 in Kerr-Schild coordinates,
-$m_\text{irreducible}/m_\text{ADM} = 0.949$, $0.894$, and $0.723$
+$m_{\text{e}}/m_{\text{M}} = 0.949$, $0.894$, and $0.723$
 for spin parameters $a \equiv J/m^2 = 0.6$, $0.8$, and $0.999$, respectively.
 It would be better to (also) use the ``isolated horizons'' formalism of
 \cite{AHFinderDirect/Dreyer-etal-2002-isolated-horizons};



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