Changes between Version 194 and Version 195 of DatabaseBasedAnalysis/Spectrum

Timestamp:

12/07/19 17:07:19 (5 years ago)

Author:

tbretz

Comment:

--

DatabaseBasedAnalysis/Spectrum

@@ -132 +132 @@
 
 \[\frac{d\phi'}{dM_\textrm{exc}} = \frac{N'_\textrm{src}}{N'_\textrm{exc}}\]
+\[\frac{d\phi'}{dN'_\textrm{exc}} = -\frac{M_\textrm{exc}\cdot N'_\textrm{src}}{\left(N'_\textrm{exc}\right)^2}\]
 \[\frac{d\phi'}{dN'_\textrm{src}} = \frac{M_\textrm{exc}}{N'_\textrm{exc}}\]
-\[\frac{d\phi'}{dN'_\textrm{exc}} = -\frac{M_\textrm{exc}\cdot N'_\textrm{src}}{\left(N'_\textrm{exc}\right)^2}\]
+
+
+\[\sigma^2(\phi) = \left(\frac{1}{A_0\cdot \Delta T\cdot\delta E}\right)^2\cdot\left[\left(\frac{N'_\textrm{src}}{N'_\textrm{exc}}\right)^2\sigma^2(M_\textrm{exc}) + \left(\frac{M_\textrm{exc}\cdot N'_\textrm{src}}{\left(N'_\textrm{exc}\right)^2}\right)^2\sigma^2(N'_\textrm{exc}) + \left(\frac{M_\textrm{exc}}{N'_\textrm{exc}}\right)^2\sigma^2(N'_\textrm{src})\right]\]
+
+
+
 
 \[\sigma^2(N') = \sum_m\left(\frac{dN'}{d\rho_m}\sigma(\rho_m)\right)^2+\sum_n\left(\frac{dN'}{d\tau_n}\sigma(\tau_n)\right)^2\]