Template:Alta al mean - Revision history

Richard House: Redirected page to Arrhenius Relationship#Arrhenius-Lognormal Statistical Properties Summary

2012-08-16T05:31:24Z

Redirected page to Arrhenius Relationship#Arrhenius-Lognormal Statistical Properties Summary

← Older revision		Revision as of 05:31, 16 August 2012
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	~~====The Mean====~~		#REDIRECT [[Arrhenius_Relationship#Arrhenius-Lognormal_Statistical_Properties_Summary]]
	~~<br>~~
	~~• The mean life of the~~ Arrhenius-~~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 (C)+\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>~~
	~~::<math>{{\bar{T}}^{\prime }}=\ln \left( {\bar{T}} \right)-\frac{1}{2}\ln \left( \frac{\sigma _{T}^{2}}{{{{\bar{T}}}^{2}}}+1 \right)</math>~~

Athanasios Gerokostopoulos: /* The Mean */

2012-02-14T00:12:40Z

The Mean

← Older revision		Revision as of 00:12, 14 February 2012
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	<br>		<br>
	::<math>\begin{align}		::<math>\begin{align}
	& \bar{T}= & {{e}^{\bar{{T}'}+\tfrac{1}{2}\sigma _{{{T}'}}^{2}}} \\		& \bar{T}= & {{e}^{\bar{{T}'}+\tfrac{1}{2}\sigma _{{{T}'}}^{2}}} =\ & {{e}^{\ln (C)+\tfrac{B}{V}+\tfrac{1}{2}\sigma _{{{T}'}}^{2}}}
	~~& =~~ & {{e}^{\ln (C)+\tfrac{B}{V}+\tfrac{1}{2}\sigma _{{{T}'}}^{2}}}
	\end{align}</math>		\end{align}</math>

Nicolette Young: Created page with '====The Mean====
• The mean life of the Arrhenius-lognormal model (mean of the times-to-failure), $\bar{T}$ , is given by:
:: $\begin{align} & \bar…'$

2012-01-12T22:09:43Z

Created page with '====The Mean==== • The mean life of the Arrhenius-lognormal model (mean of the times-to-failure), <math>\bar{T}</math> , is given by: ::<math>\begin{align} & \bar…'

New page

====The Mean====
 
• The mean life of the Arrhenius-lognormal model (mean of the times-to-failure), <math>\bar{T}</math> , is given by:

 
::<math>\begin{align}
& \bar{T}= & {{e}^{\bar{{T}'}+\tfrac{1}{2}\sigma _{{{T}'}}^{2}}} \\
& = & {{e}^{\ln (C)+\tfrac{B}{V}+\tfrac{1}{2}\sigma _{{{T}'}}^{2}}}
\end{align}</math>

 
• 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:

 
::<math>{{\bar{T}}^{\prime }}=\ln \left( {\bar{T}} \right)-\frac{1}{2}\ln \left( \frac{\sigma _{T}^{2}}{{{{\bar{T}}}^{2}}}+1 \right)</math>

Template:Alta al mean - Revision history

Richard House: Redirected page to Arrhenius Relationship#Arrhenius-Lognormal Statistical Properties Summary

Athanasios Gerokostopoulos: /* The Mean */

Nicolette Young: Created page with '====The Mean==== • The mean life of the Arrhenius-lognormal model (mean of the times-to-failure), \bar{T} , is given by: ::\begin{align} & \bar…'

Nicolette Young: Created page with '====The Mean====
• The mean life of the Arrhenius-lognormal model (mean of the times-to-failure), $\bar{T}$ , is given by:
:: $\begin{align} & \bar…'$