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modified: ../../bin/latexRegex.pl

modified:   basicStatMechLecture19.tex
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commit 5d5963746457320fcb4d441bae446f79f6ecdd4d 1 parent 6a989a3
@peeterjoot authored
Showing with 6 additions and 5 deletions.
  1. +1 −0  bin/latexRegex.pl
  2. +5 −5 notes/blogit/basicStatMechLecture19.tex
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1  bin/latexRegex.pl
@@ -64,3 +64,4 @@
#s/g32/g_{3/2}/g ;
##s/zeta32/\\zeta(3/2)/g ; # doesn't work
s/2pi([1-9])/(2 \\pi)^$1/g ;
+s/_c/_{\\mathrm{c}}/g ;
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10 notes/blogit/basicStatMechLecture19.tex
@@ -150,11 +150,11 @@ \section{Bosons}
(as $T$ does down, $\rho \lambda^3$ goes up)
-Looking at $g32(z = 1) = \rho \lambda^3(T_c)$ leads to
+Looking at $g32(z = 1) = \rho \lambda^3(T_{\mathrm{c}})$ leads to
\begin{dmath}\label{eqn:basicStatMechLecture19:380}
\myBoxed{
-\kB T_c =
+\kB T_{\mathrm{c}} =
\lr{ \frac{\rho}{\zeta(3/2)} }
^{2/3} \frac{ 2 \pi \hbar^2}{m}.
}
@@ -201,11 +201,11 @@ \section{Bosons}
+ \inv{\lambda^3} g32(z)
= \rho(\Bk = 0)
+
-\frac{ \lambda(T_c) }{ \lambda(T)}
-\inv{ \lambda^3(T_c)}
+\frac{ \lambda(T_{\mathrm{c}}) }{ \lambda(T)}
+\inv{ \lambda^3(T_{\mathrm{c}})}
\end{dmath}
-At $T > T_c$ we have $\rho_\Bk = 0$, whereas at $T < T_c$ we must introduce a non-zero density if we want to be able to keep a constant density constraint.
+At $T > T_{\mathrm{c}}$ we have $\rho_\Bk = 0$, whereas at $T < T_{\mathrm{c}}$ we must introduce a non-zero density if we want to be able to keep a constant density constraint.
%\EndArticle
\EndNoBibArticle
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