r23108 - /trunk/docs/latex/dispersion.tex -- May 08, 2014 - 20:25

Author: bugman
Date: Thu May  8 20:25:19 2014
New Revision: 23108

URL: http://svn.gna.org/viewcvs/relax?rev=23108&view=rev
Log:
Fixes for some of the maths in the B14 model section of the dispersion 
chapter.


Modified:
    trunk/docs/latex/dispersion.tex

Modified: trunk/docs/latex/dispersion.tex
URL: 
http://svn.gna.org/viewcvs/relax/trunk/docs/latex/dispersion.tex?rev=23108&r1=23107&r2=23108&view=diff
==============================================================================
--- trunk/docs/latex/dispersion.tex     (original)
+++ trunk/docs/latex/dispersion.tex     Thu May  8 20:25:19 2014
@@ -597,7 +597,7 @@
 \begin{subequations}
 \begin{align}
        N & = h_3 + \imath h_4 , \\
-       NN^* & = h_3^2 + h_42 , \\
+       NN^* & = h_3^2 + h_4^2 , \\
        F_0 & = (\dw^2 + h_3^2) / NN^* , \\
        F_2 & = (\dw^2 - h_4^2) / NN^* , \\
        F_1^b & = (\dw + h_4) (\dw - \imath h_3) / NN^* , \\
@@ -609,8 +609,8 @@
 \begin{subequations}
 \begin{align}
        E_0 & =  2 \taucpmg \cdot h_3 , \\
-       E2 & =  2 \taucpmg \cdot  h_4 , \\
-       E1 & = (h_3 - \imath h_4) \cdot \taucpmg .
+       E_2 & =  2 \taucpmg \cdot  h_4 , \\
+       E_1 & = (h_3 - \imath h_4) \cdot \taucpmg .
 \end{align}
 \end{subequations}
 
@@ -623,7 +623,7 @@
        \nu_3 & = \sqrt{\nu_{1c}^2 - 1} , \\
        \nu_4 & = F_1^b (-\alpha_- - h_3 ) + \imath F_1^b (\dw - h_4) , \\
        \nu_5 & =(-\Delta \Rtwozero + \kex + \imath \dw) \nu_{1s} + 2 (\nu_4 
+ \kAB F_1^{a+b}) \sinh(E_1) , \\
-       y & = \left( \frac{\nu_{1c} - \nu_3}{\nu_{1c} + \nu_3} \right) ^ 
\ncyc , \\
+    y & = \left( \frac{\nu_{1c} - \nu_3}{\nu_{1c} + \nu_3} \right) ^ {\ncyc} 
, \\
        T & = \frac{1}{2}(1 + y) + \frac{(1 - y)\nu_5}{2 \nu_3 N} , \\
        \RtwoeffCR & = \frac{(\RtwozeroA + \RtwozeroB + \kex)}{2} - 
\frac{\ncyc}{\taucpmg} \, \textrm{arcosh}(\, \operatorname{Re}(\nu_{1c}) \, ) 
, \\
        \Rtwoeff & = \RtwoeffCR - \frac{1}{\taucpmg} 
\log(\operatorname{Re}(T)) .