Optimal bin size Δ for data binning with a Gaussian lsf as a function of the number of counts per resolution element Nr. Dotted curve: analytical approximation using Sect. A.3; stars: results of Monte Carlo calculation; solid line: our finally adopted bin size Eq. (36) based on a fit to our Monte Carlo results for large values of Nr; dashed line: commonly adopted bin size 1/3 FWHM.
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