\batchmode



\documentclass[12pt]{article}
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\pagestyle{myheadings}
\markright{{\sf Page 11.17.6 of EM2 notes, Nov 95}}

\def\func#1{\mathop{\rm #1}}

\def\dfrac#1#2{{\displaystyle {#1 \over #2}}}

\def\tfrac#1#2{{\textstyle {#1 \over #2}}}

\def\dint{\mathop{\displaystyle \int}}

\makeatother
\newenvironment{tex2html_wrap}{}{}
\newwrite\lthtmlwrite
\def\lthtmltypeout#1{{\let\protect\string\immediate\write\lthtmlwrite{#1}}}%
\newbox\sizebox
\begin{document}
\pagestyle{empty}
{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\Lambda $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline76: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \begin{displaymath}% latex2html id marker 64
B_{\;\beta }^\alpha =\left( 
\begin{array}{cc}
\gamma  & -\gamma v^j \\  
-\gamma v^i & \delta _{\;j}^i+\gamma ^2v^iv^j/(\gamma +1)
\end{array}
\right) 
\end{displaymath}
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$v^i$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline84: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\mathbf{v}$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline86: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \begin{displaymath}% latex2html id marker 65
R_{\;\beta }^\alpha =\left( 
\begin{array}{cc}
1 & 0 \\  
0 & R_{\;j}^i
\end{array}
\right) 
\end{displaymath}
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$R_{\;j}^i$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline90: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\Lambda .$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline96: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \begin{displaymath}B_{\;\gamma }^\beta =\left( 
\begin{array}{cc}
\gamma & \gamma v_k \\  
-\gamma v^j & \delta _{\;k}^j-\gamma ^2v^jv_k/(\gamma +1)
\end{array}
\right) 
\end{displaymath}
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$v_i=-v^i$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline100: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \begin{displaymath}% latex2html id marker 67
\left( 
\begin{array}{cc}
\Lambda _{\;0}^0 & \Lambda _{\;k}^0 \\  
\Lambda _{\;0}^i & \Lambda _{\;k}^i
\end{array}
\right) =R_{\;\beta }^\alpha B_{\;\gamma }^\beta =\left( 
\begin{array}{cc}
\gamma & \gamma v_k \\  
-\gamma R_{\;j}^iv^j & R_{\;k}^i-\gamma ^2R_{\;j}^iv^jv_k/(\gamma +1)
\end{array}
\right) 
\end{displaymath}
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\gamma =\Lambda _{\;0}^0,\;v_k=\Lambda _{\;k}^0/\gamma
,\;R_{\;j}^iv^j=-\Lambda _{\;0}^i/\gamma ,$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline102: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \begin{displaymath}R_{\;k}^i=\Lambda _{\;k}^i+\gamma ^2R_{\;j}^iv^jv_k/(\gamma +1)=\Lambda
_{\;k}^i-\gamma \,\Lambda _{\;0}^iv_k/(\gamma +1) 
\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}R_{\;k}^i=\Lambda _{\;k}^i-\Lambda _{\;0}^i\Lambda _{\;k}^0/(\gamma +1) 
\end{displaymath}
}


\end{document}
