--- trunk/chrisDissertation/Introduction.tex	2006/09/21 23:21:37	3016
+++ trunk/chrisDissertation/Introduction.tex	2006/09/22 13:45:24	3019
@@ -53,7 +53,7 @@ motion, and one useful formulation of them is the Lagr
 time $t_2$. To find out, we need the classical equations of
 motion, and one useful formulation of them is the Lagrangian form.
 
-The Lagrangian ($L$) is a function of the positions and velocites that
+The Lagrangian ($L$) is a function of the positions and velocities that
 takes the form,
 \begin{equation}
 L = K - V,
@@ -542,7 +542,7 @@ switching transition.
 that the higher the order of the polynomial, the more abrupt the
 switching transition.
 
-\subsection{Long-Range Interaction Corrections}
+\subsection{\label{sec:LJCorrections}Long-Range Interaction Corrections}
 
 While a good approximation, accumulating interaction only from the
 nearby particles can lead to some issues, because the further away
@@ -574,7 +574,7 @@ In typical molecular dynamics simulations there are no
 \subsection{Periodic Boundary Conditions}
 
 In typical molecular dynamics simulations there are no restrictions
-placed on the motion of particles outside of what the interparticle
+placed on the motion of particles outside of what the inter-particle
 interactions dictate. This means that if a particle collides with
 other particles, it is free to move away from the site of the
 collision. If we consider the entire system as a collection of
@@ -666,7 +666,7 @@ simulations. In section \ref{sec:t5peThermo}, we use f
 property can be determined via the standard deviation. Fluctuations
 are useful for measuring various thermodynamic properties in computer
 simulations. In section \ref{sec:t5peThermo}, we use fluctuations in
-propeties like the enthalpy and volume to calculate various
+properties like the enthalpy and volume to calculate various
 thermodynamic properties, such as the constant pressure heat capacity
 and the isothermal compressibility.
 
