Author: bugman Date: Thu Aug 30 11:03:23 2012 New Revision: 17392 URL: http://svn.gna.org/viewcvs/relax?rev=17392&view=rev Log: Fixed some citations in the newly introduced model-free J(w) paragraph. Modified: trunk/docs/latex/model-free.tex Modified: trunk/docs/latex/model-free.tex URL: http://svn.gna.org/viewcvs/relax/trunk/docs/latex/model-free.tex?rev=17392&r1=17391&r2=17392&view=diff ============================================================================== --- trunk/docs/latex/model-free.tex (original) +++ trunk/docs/latex/model-free.tex Thu Aug 30 11:03:23 2012 @@ -118,7 +118,7 @@ \noindent where $S^2_f$ and $\tau_f$ are the amplitude and timescale of the faster of the two motions whereas $S^2_s$ and $\tau_s$ are those of the slower motion. $S^2_f$ and $S^2_s$ are related by the formula $S^2 = S^2_f \cdot S^2_s$. -If these forms of the model-free spectral density functions are unfamiliar, that is because these are the numerically stabilised forms presented in \citet{dAuvergneGooley08a}. The original model-free spectral density functions presented in \inlinecite{LipariSzabo82a} and \inlinecite{Clore90a} are not the most numerically stable form of these equations. An important problem encountered in optimisation is round-off error in which machine precision influences the result of mathematical operations. The double reciprocal $\tau^{-1} = \tau_m^{-1} + \tau_e^{-1}$ used in the equations are operations which are particularly susceptible to round-off error, especially when $\tau_e \ll \tau_m$. By incorporating these reciprocals into the model-free spectral density functions and then simplifying the equations this source of round-off error can be eliminated, giving relax an edge over other model-free optimisation softwares. +If these forms of the model-free spectral density functions are unfamiliar, that is because these are the numerically stabilised forms presented in \citet{dAuvergneGooley08a}. The original model-free spectral density functions presented in \citet{LipariSzabo82a} and \citet{Clore90a} are not the most numerically stable form of these equations. An important problem encountered in optimisation is round-off error in which machine precision influences the result of mathematical operations. The double reciprocal $\tau^{-1} = \tau_m^{-1} + \tau_e^{-1}$ used in the equations are operations which are particularly susceptible to round-off error, especially when $\tau_e \ll \tau_m$. By incorporating these reciprocals into the model-free spectral density functions and then simplifying the equations this source of round-off error can be eliminated, giving relax an edge over other model-free optimisation softwares. % Brownian rotational diffusion.