r23109 - /trunk/docs/latex/dispersion.tex -- May 08, 2014 - 20:28

Author: bugman
Date: Thu May  8 20:28:48 2014
New Revision: 23109

URL: http://svn.gna.org/viewcvs/relax?rev=23109&view=rev
Log:
Added some absolute signs to the equations of the B14 model.

This is for the B14 model (http://wiki.nmr-relax.com/B14) section of the 
dispersion chapter of the
manual.


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=23109&r1=23108&r2=23109&view=diff
==============================================================================
--- trunk/docs/latex/dispersion.tex     (original)
+++ trunk/docs/latex/dispersion.tex     Thu May  8 20:28:48 2014
@@ -609,7 +609,7 @@
 \begin{subequations}
 \begin{align}
        E_0 & =  2 \taucpmg \cdot h_3 , \\
-       E_2 & =  2 \taucpmg \cdot  h_4 , \\
+       | E_2 | & =  2 \taucpmg \cdot  h_4 , \\
        E_1 & = (h_3 - \imath h_4) \cdot \taucpmg .
 \end{align}
 \end{subequations}
@@ -618,8 +618,8 @@
 Final result, with identities to assist efficient matrix exponentiation 
optimised for numerical calculation is
 \begin{subequations}
 \begin{align}
-       \nu_{1c} & = F_0  \cosh(E_0) - F_2 \cos(E_2) , \\
-       \nu_{1s} & = F_0  \sinh(E_0) - \imath F_2 \sin(E_2), \\
+       \nu_{1c} & = F_0  \cosh(E_0) - F_2 \cos(| E_2 |) , \\
+    \nu_{1s} & = F_0  \sinh(E_0) - \imath F_2 \sin(| E_2 |), \\
        \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) , \\