Author: bugman
Date: Fri Oct 13 07:59:18 2006
New Revision: 2641
URL: http://svn.gna.org/viewcvs/relax?rev=2641&view=rev
Log:
Fix for the documentation bug #7402 (https://gna.org/bugs/?7402).
This fixes the sigma(NOE) equations in section 8.8.1 of the relax user manual.
Alex Hansen reported
that the equations incorrect as one of the spectral density terms were
multiplied by a factor of 6
when there should be nothing. This problem does not affect the code, the
equations there are
correct.
Modified:
1.2/docs/latex/maths.tex
Modified: 1.2/docs/latex/maths.tex
URL:
http://svn.gna.org/viewcvs/relax/1.2/docs/latex/maths.tex?rev=2641&r1=2640&r2=2641&view=diff
==============================================================================
--- 1.2/docs/latex/maths.tex (original)
+++ 1.2/docs/latex/maths.tex Fri Oct 13 07:59:18 2006
@@ -502,21 +502,21 @@
For the dipolar component of the $\crossrate$ equation~\eqref{eq: sigma_NOE}
on page~\pageref{eq: sigma_NOE} the spectral density terms are
\begin{equation}
- J_d^{\crossrate} = 6J(\omega_H + \omega_X) - 6J(\omega_H - \omega_X).
\label{eq: J terms: JsigmaNOEd}
+ J_d^{\crossrate} = 6J(\omega_H + \omega_X) - J(\omega_H - \omega_X).
\label{eq: J terms: JsigmaNOEd}
\end{equation}
\noindent The partial derivative of these terms with respect to the spectral
density function parameter $\theta_j$ is
\begin{equation}
{J_d^{\crossrate}}' \equiv \frac{\partial J_d^{\crossrate}}{\partial
\theta_j}
= 6 \frac{\partial J(\omega_H + \omega_X)}{\partial \theta_j}
- - 6 \frac{\partial J(\omega_H - \omega_X)}{\partial \theta_j}.
\label{eq: J terms: JsigmaNOEd'}
+ - \frac{\partial J(\omega_H - \omega_X)}{\partial \theta_j}.
\label{eq: J terms: JsigmaNOEd'}
\end{equation}
\noindent The second partial derivative with respect to the spectral density
function parameters $\theta_j$ and $\theta_k$ is
\begin{equation}
{J_d^{\crossrate}}'' \equiv \frac{\partial^2 J_d^{\crossrate}}{\partial
\theta_j \cdot \partial \theta_k}
= 6 \frac{\partial^2 J(\omega_H + \omega_X)}{\partial \theta_j \cdot
\partial \theta_k}
- - 6 \frac{\partial^2 J(\omega_H - \omega_X)}{\partial \theta_j \cdot
\partial \theta_k}. \label{eq: J terms: JsigmaNOEd"}
+ - \frac{\partial^2 J(\omega_H - \omega_X)}{\partial \theta_j \cdot
\partial \theta_k}. \label{eq: J terms: JsigmaNOEd"}
\end{equation}
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