--- trunk/tengDissertation/Methodology.tex	2006/06/29 23:00:35	2909
+++ trunk/tengDissertation/Methodology.tex	2006/06/29 23:56:11	2911
@@ -16,9 +16,9 @@ the last two decades. Matubayasi\cite{Matubayasi1999} 
 
 Integration schemes for the rotational motion of the rigid molecules
 in the microcanonical ensemble have been extensively studied over
-the last two decades. Matubayasi\cite{Matubayasi1999} developed a
+the last two decades. Matubayasi developed a
 time-reversible integrator for rigid bodies in quaternion
-representation. Although it is not symplectic, this integrator still
+representation\cite{Matubayasi1999}. Although it is not symplectic, this integrator still
 demonstrates a better long-time energy conservation than Euler angle
 methods because of the time-reversible nature. Extending the
 Trotter-Suzuki factorization to general system with a flat phase
@@ -74,8 +74,8 @@ rotates both the rotation matrix ($\mathsf{Q}$) and th
 / 2) \cdot \mathsf{G}_x(a_x /2),
 \end{equation}
 where each rotational propagator, $\mathsf{G}_\alpha(\theta)$,
-rotates both the rotation matrix ($\mathsf{Q}$) and the body-fixed
-angular momentum (${\bf j}$) by an angle $\theta$ around body-fixed
+rotates both the rotation matrix $\mathsf{Q}$ and the body-fixed
+angular momentum ${\bf j}$ by an angle $\theta$ around body-fixed
 axis $\alpha$,
 \begin{equation}
 \mathsf{G}_\alpha( \theta ) = \left\{