Changes between Version 78 and Version 79 of DatabaseBasedAnalysis/Spectrum

Timestamp:

12/05/19 09:42:41 (5 years ago)

Author:

tbretz

Comment:

--

DatabaseBasedAnalysis/Spectrum

@@ -33 +33 @@
 As the simulated energy spectrum is independent of zenith angle, it can be expressed as
 
-\[N_0(E,\theta) = N_0\cdot \frac{\eta(E)}{\int_E\eta(E)dE}\cdot \frac{\eta(\theta)}{\int_\theta\eta(\theta)d\theta}\]
+\[\phi(E,\theta) = N_0\cdot \eta(E)\cdot \eta(\theta)\]
 
-with the differential energy spectrum \(\eta(E)\) and the zenith angle distribution \(\eta(\theta)\). 
+with the normalized differential energy spectrum \(\eta(E)\) and the normalized zenith angle distribution \(\eta(\theta)\).
+
+The contents of one energy bin \(\Delta E\) and one zenith angle bin \(Delta\theta\) can then be written as
+
+\[N(\Delta E, \Delta\theta) = \sum_{\Delta E, \Delta\theta} \omega_i(E)\cdot\omega_i(\theta) \]
+
+