From: hackbard <hackbard>
Date: Fri, 23 May 2003 17:33:33 +0000 (+0000)
Subject: formula more short
X-Git-Url: https://hackdaworld.org/gitweb/?a=commitdiff_plain;h=412609181d837b8024ebeee8d5b2b52f0506a758;p=lectures%2Flatex.git

formula more short
---

diff --git a/ising/ising_slides.tex b/ising/ising_slides.tex
index a52fed7..3e47903 100644
--- a/ising/ising_slides.tex
+++ b/ising/ising_slides.tex
@@ -305,7 +305,7 @@ F"ur den Fall $B_0 = 0$ gilt:
 \[
  \begin{array}{l}
   \displaystyle \lambda_{\pm} = e^K \pm e^{-K} \\[2mm]
-  \displaystyle Z = 2^N \cosh^N (K) + 2^N \sinh^N (K) = 2^N \cosh^N (K) (1 + \tanh^N (K)) \stackrel{N >> 1}{\longrightarrow} 2^N \cosh^N (K) \\[2mm]
+  \displaystyle Z = 2^N \cosh^N (K) + 2^N \sinh^N (K) \stackrel{N >> 1}{\longrightarrow} 2^N \cosh^N (K) \\[2mm]
   \displaystyle F = -k_B T \, \textrm{ln} \, Z \stackrel{N >> 1}{\longrightarrow} -N k_B T \, \textrm{ln} \, (2 \cosh (\beta J))
  \end{array}
 \]