Changes between Version 155 and Version 156 of DatabaseBasedAnalysis/Spectrum


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Timestamp:
12/05/19 15:19:21 (6 years ago)
Author:
tbretz
Comment:

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  • DatabaseBasedAnalysis/Spectrum

    v155 v156  
    113113where \(N(\delta\theta)\) is the number of produced events in the interval \(\delta\theta\) and \(\Delta T(\delta\theta)\) is the total observation time in the same zenith angle interval. \(\tau_0\) is the normalization constant.
    114114
    115 As the efficiency \(\epsilon(\delta E\)\) for an energy interval \(\delta E\) is calculated as
    116 
    117 \[\epsilon(\delta E) = \epsilon(\delta E, \Delta\Theta) = \frac{N'_\textrm{exc}(\delta E, \Delta\Theta)}{N'_\textrm{src}(\delta E,\delta\Theta)}\]
     115As the efficiency \(\epsilon(\delta E)\) for an energy interval \(\delta E\) is calculated as
     116
     117\[\epsilon(\delta E) = \epsilon(\delta E, \Delta\Theta) = \frac{N'_\textrm{exc}(\delta E, \Delta\Theta)}{N'_\textrm{src}(\delta E,\Delta\Theta)}\]
    118118
    119119and \(N'_\textrm{exc}(\delta E,\Delta\Theta)\) and \(N'_\textrm{src}(\delta E,\Delta\Theta)\) are both expressed as the sum given above, the constants \(\rho_0\) and \(\tau_0\) cancel.