Changes between Version 60 and Version 61 of DatabaseBasedAnalysis/Spectrum


Ignore:
Timestamp:
Dec 3, 2019, 10:44:24 PM (10 months ago)
Author:
tbretz
Comment:

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  • DatabaseBasedAnalysis/Spectrum

    v60 v61  
    4646
    4747\[\sigma^2(\phi(E)) = \left(\frac{d\phi(E)}{dN_0}\right)\sigma^2(N_0) + \left(\frac{d\phi(E)}{dN_\textrm{exc}^\textrm{MC}}\right)\sigma^2(N_\textrm{exc}^\textrm{MC}) +  \left(\frac{d\phi(E)}{dN_\textrm{exc}}\right)^2\sigma(N_\textrm{exc})^2\]
     48
     49\[\sigma^2(N_0) = \sum_\textrm{corsika}\omega_i^2(E)\omega_i^2(\theta)\]
     50\[\sigma^2(N_\textrm{exc}^\textrm{MC}) =  \left(\frac{d\phi(E)}{dN_\textrm{sig}^\textrm{MC}}\right)\sigma^2(N_\textrm{sig}^\textrm{MC}) +  \left(\frac{d\phi(E)}{d\hat N_\textrm{bg}^\textrm{MC}}\right)\sigma^2(\hat N_\textrm{bg}^\textrm{MC}) \]
     51\[\sigma^2(N_\textrm{exc}) = \left(\frac{d\phi(E)}{dN_\textrm{sig}}\right)\sigma^2(N_\textrm{sig}) +  \left(\frac{d\phi(E)}{d\hat N_\textrm{bg}}\right)\sigma^2(\hat N_\textrm{bg}) \]
     52
     53\[\sigma^2(N_\textrm{sig} = N_\textrm{sig}\]
     54\[\sigma^2(\hat N_\textrm{bg}  = \frac{1}{5^2}\sigma^2(N_\textrm{bg} = \frac{1}{5^2} N_\textrm{bg}\]
     55
     56
     57\[\sigma^2(N_\textrm{sig}^\textrm{MC} = \]
     58\[\sigma^2(\hat N_\textrm{bg}^\textrm{MC} = \frac{1}{5^2}\sigma^2(N_\textrm{bg}^\textrm{MC} = \]
     59
    4860
    4961