Changes between Version 151 and Version 152 of DatabaseBasedAnalysis/Spectrum

Timestamp:

12/05/19 15:07:52 (6 years ago)

Author:

tbretz

Comment:

--

DatabaseBasedAnalysis/Spectrum

@@ -105 +105 @@
 The weights are defined as follow:
 
-\[\rho(E) = \frac{\phi_\textrm{src}(E)}{\phi_0(E)}\]
-
-where \(\phi_0(E)\) is the simulated spectrum and \(\phi_\textrm{src}\) the (unknown) real source spectrum. The zenith angle weights \(\tau(\delta\theta)\) in the interval \(\delta\theta\) are defined as
-
-\[\tau(\delta\theta) = \frac{\Delta T(\delta\theta)}{N(\delta\theta)}\]
-
-where \(N(\delta\theta)\) 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.
+\[\rho(E) = \rho_0\frac{\phi_\textrm{src}(E)}{\phi_0(E)}\]
+
+where \(\phi_0(E)\) is the simulated spectrum and \(\phi_\textrm{src}\) the (unknown) real source spectrum. \(\rho_0\) is a normalization constant. The zenith angle weights \(\tau(\delta\theta)\) in the interval \(\delta\theta\) are defined as
+
+\[\tau(\delta\theta) = \tau_0\frac{\Delta T(\delta\theta)}{N(\delta\theta)}\]
+
+where \(N(\delta\theta)\) 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.