Changes between Version 19 and Version 20 of DatabaseBasedAnalysis/Spectrum


Ignore:
Timestamp:
12/03/19 17:14:56 (6 years ago)
Author:
tbretz
Comment:

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  • DatabaseBasedAnalysis/Spectrum

    v19 v20  
    77
    88For an observation with an effective observation time \(\Delta T\), this yields in a given Energy interval \(\Delta E\):
    9 \[\phi(E) = \frac{1}{A_0\cdot \Delta T}\frac{dN}{\epsilon(\Delta E)\cdot \Delta E}\]
     9\[\phi(E) = \frac{1}{A_0\cdot \Delta T}\frac{N(\Delta E)}{\epsilon(\Delta E)\cdot \Delta E}\]
    1010
    1111For simplicity, in the following, \(\Delta E\) will be replaced by just \(E\) but always refers to an average quantity in an given energy interval. Note that strictly speaking the average quantity is not independent of the event distribution in that interval so that the calculation are only exact if the correct distribution is assumed!