Changes between Version 80 and Version 81 of DatabaseBasedAnalysis/Spectrum


Ignore:
Timestamp:
12/05/19 09:47:26 (6 years ago)
Author:
tbretz
Comment:

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  • DatabaseBasedAnalysis/Spectrum

    v80 v81  
    3535\[\phi(E,\theta) = N_0\cdot \eta(E)\cdot \eta(\theta)\]
    3636
    37 with the normalized differential energy spectrum \(\eta(E)\) and the normalized zenith angle distribution \(\eta(\theta)\).
     37with the differential energy spectrum \(\eta(E)\) and the zenith angle distribution \(\eta(\theta)\) and the normalization
     38
     39\[\int_E\int_\theta\phi(E,\theta)dEd\theta = N_0\cdot \int_E\eta(E)dE\cdot \int_\theta\eta(\theta)d\theta\]
    3840
    3941The contents of one energy bin \(\Delta E\) and one zenith angle bin \(\Delta\theta\) can then be written as
    4042
    4143\[N(\Delta E, \Delta\theta) = \sum_{\Delta E, \Delta\theta} \omega_i(E)\cdot\omega_i(\theta) \]
     44
     45and the normalization
     46
     47\[\sum_E\sim_\theta\N(E,\theta)dEd\theta = N_0\cdot \sum_E\eta(E)dE\cdot \sum_\theta\eta(\theta)d\theta\]
    4248
    4349