Changes between Version 179 and Version 180 of DatabaseBasedAnalysis/Spectrum


Ignore:
Timestamp:
12/06/19 21:16:40 (6 years ago)
Author:
tbretz
Comment:

--

Legend:

Unmodified
Added
Removed
Modified

  • DatabaseBasedAnalysis/Spectrum

    v179 v180  
    135135\[\frac{d\phi'}{dN'_\textrm{exc}} = -\frac{M_\textrm{exc}\cdot N'_\textrm{src}}{\left(N'_\textrm{exc}\right)^2}\]
    136136
    137 \[\sigma^2(N') = \sum_m\left(\frac{dN'}{dE_m}\sigma(E_m)\right)^2+\sum_n\left(\frac{dN'}{d\theta_n}\sigma(\theta_n)\right)^2\]
    138 
    139 \[= \sum_m\left(\frac{d\rho(E_m)}{dE_m}\sigma(E_m)\sum_j\tau(\theta_j)\right)^2+\sum_n\left(\frac{d\tau(\theta_n)}{d\theta_n}\sigma(\theta_n)\sum_i\rho(E_i)\right)^2\]
    140 
    141 \[= \left(\sum_j\tau(\theta_j)\right)^2\sum_m\left(\frac{d\rho(E_m)}{dE_m}\sigma(E_m)\right)^2+\left(\sum_i\rho(E_i)\right)^2\sum_n\left(\frac{d\tau(\theta_n)}{d\theta_n}\sigma(\theta_n)\right)^2\]
     137\[\sigma^2(N') = \sum_m\left(\frac{dN'}{d\rho_m}\sigma(\rho_m)\right)^2+\sum_n\left(\frac{dN'}{d\tau_n}\sigma(\tau_n)\right)^2\]
     138
     139\[= \sum_m\left(\sum_j\tau(\theta_j)\sigma(\rho_m)\right)^2+\sum_n\left(\sum_i\rho(E_i)\sigma(\theta_n))^2\]
    142140
    143141