--- trunk/mattDisertation/Introduction.tex	2004/02/24 17:13:06	1067
+++ trunk/mattDisertation/Introduction.tex	2004/02/25 21:48:44	1068
@@ -108,7 +108,7 @@ also define the temperature of the system using the re
 \label{introEq:SM5}
 \end{equation}
 Where $k_B$ is the Boltzmann constant.  Having defined entropy, one can
-also define the temperature of the system using the relation
+also define the temperature of the system using the Maxwell relation
 \begin{equation}
 \frac{1}{T} = \biggl ( \frac{\partial S}{\partial E} \biggr )_{N,V}
 \label{introEq:SM6}
@@ -209,7 +209,7 @@ instrument analyzing the system must average its obser
 Where the value of an observable is averaged over the length of time
 that the simulation is run. This type of measurement mirrors the
 experimental measurement of an observable. In an experiment, the
-instrument analyzing the system must average its observation of the
+instrument analyzing the system must average its observation over the
 finite time of the measurement. What is required then, is a principle
 to relate the time average to the ensemble average. This is the
 ergodic hypothesis.