Template:Eyring-log mean: Difference between revisions

Latest revision as of 23:33, 16 August 2012

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-====The Mean====
+#REDIRECT [[Eyring_Relationship#Eyring-Lognormal]]
-<br>
-The mean life of the Eyring-lognormal model (mean of the times-to-failure),  <math>\bar{T}</math> , is given by:
-<br>
-::<math>\begin{align}
-	   \bar{T}=\ {{e}^{\bar{{T}'}+\tfrac{1}{2}\sigma _{{{T}'}}^{2}}} =\  {{e}^{-\ln (V)-A+\tfrac{B}{V}+\tfrac{1}{2}\sigma _{{{T}'}}^{2}}}
-	\end{align}</math>
-<br>
-The mean of the natural logarithms of the times-to-failure,  <math>{{\bar{T}}^{^{\prime }}}</math> , in terms of  <math>\bar{T}</math>  and  <math>{{\sigma }_{T}}</math>  is given by:
-<br>
-<br>
-::<math>{{\bar{T}}^{\prime }}=\ln \left( {\bar{T}} \right)-\frac{1}{2}\ln \left( \frac{\sigma _{T}^{2}}{{{{\bar{T}}}^{2}}}+1 \right)</math>
-<br>