r23115 - /trunk/docs/latex/dispersion.tex -- May 09, 2014 - 09:35

Author: bugman
Date: Fri May  9 09:35:23 2014
New Revision: 23115

URL: http://svn.gna.org/viewcvs/relax?rev=23115&view=rev
Log:
Improved brackets for the B14 model (http://wiki.nmr-relax.com/B14) section 
of the dispersion chapter.

The \left( and \right) command are used to produce brackets that scale to the 
size of the maths
within these brackets.  One set of unneeded brackets were also removed.


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=23115&r1=23114&r2=23115&view=diff
==============================================================================
--- trunk/docs/latex/dispersion.tex     (original)
+++ trunk/docs/latex/dispersion.tex     Fri May  9 09:35:23 2014
@@ -590,7 +590,7 @@
 The ground state ensemble evolution frequency $f_{00}$ expressed in 
separated real and imaginary components, in terms
 of definitions $\zeta , \Psi , h_3 , h_4$ is
 \begin{equation}
-       f_{00} = \frac{1}{2}(\RtwozeroA + \RtwozeroB + \kex) + 
\frac{\imath}{2}(\dw - h_4) .
+       f_{00} = \frac{1}{2}\left(\RtwozeroA + \RtwozeroB + \kex\right) + 
\frac{\imath}{2}\left(\dw - h_4\right) .
 \end{equation}
 
 Define substutions for `stay' and `swap' factors are
@@ -598,10 +598,10 @@
 \begin{align}
        N & = h_3 + \imath h_4 , \\
        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^* , \\
-       F_1^{a+b} & = (2\dw^2 + \imath \zeta) / NN^* .
+       F_0 & = \left(\dw^2 + h_3^2\right) / NN^* , \\
+       F_2 & = \left(\dw^2 - h_4^2\right) / NN^* , \\
+       F_1^b & = \left(\dw + h_4\right) \left(\dw - \imath h_3\right) / NN^* 
, \\
+       F_1^{a+b} & = \left(2\dw^2 + \imath \zeta\right) / NN^* .
 \end{align}
 \end{subequations}
 
@@ -622,11 +622,11 @@
        \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) , \\
+       \nu_5 & =\left(-\Delta \Rtwozero + \kex + \imath \dw\right) \nu_{1s} 
+ 2 \left(\nu_4 + \kAB F_1^{a+b}\right) \sinh(E_1) , \\
     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} \, \arccosh(\, \Re(\nu_{1c}) \, ) , \\
-       \Rtwoeff & = \RtwoeffCR - \frac{1}{\taucpmg} \log(\Re(T)) .
+       \RtwoeffCR & = \frac{\RtwozeroA + \RtwozeroB + \kex}{2} - 
\frac{\ncyc}{\taucpmg} \, \arccosh\left(\Re(\nu_{1c})\right) , \\
+       \Rtwoeff & = \RtwoeffCR - \frac{1}{\taucpmg} \log\left(\Re(T)\right) .
 \end{align}
 \end{subequations}