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git-svn-id: svn://svn.icms.temple.edu/lammps-ro/trunk@7824 f3b2605a-c512-4ea7-a41b-209d697bcdaa

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sjplimp 2012-02-20 23:33:47 +00:00
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commit 3fd94c14d7
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doc/Eqs/transform.tex Normal file
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\documentclass[12pt]{article}
\begin{document}
\begin{eqnarray*}
\vec{a} &=& (a_x,0,0) \\
\vec{b} &=& (b_x,b_y,0) \\
\vec{c} &=& (c_x,c_y,c_z) \\
a_x &=& A \\
b_x &=& (\vec{B} \bullet \vec{A}) \,\, / \,\, A \\
b_y &=& |\vec{A} \times \vec{B}| \,\, / \,\, A \quad \rm{or} \quad \sqrt{B^2 - {b_x}^2} \\
c_x &=& (\vec{C} \bullet \vec{A}) \,\, / \,\, A \\
c_y &=& [\vec{C} \bullet ((\vec{A} \times \vec{B}) \times \vec{A})] \,\, / \,\, |(\vec{A} \times \vec{B}) \times \vec{A}| \quad \rm{or} \quad \sqrt{C^2 - {c_z}^2 -{c_z}^2} \\
c_z &=& [\vec{C} \bullet (\vec{A} \times \vec{B})] \,\, / \,\, |\vec{A} \times \vec{B}| \\
\end{eqnarray*}
\end{document}