Template:Ipl ex mean: Difference between revisions

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(Created page with '====Mean or MTTF==== The mean, <math>\overline{T},</math> or Mean Time To Failure (MTTF) for the IPL-exponential relationship is given by: <br> ::<math>\begin{align} & \over…')
 
 
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====Mean or MTTF====
#REDIRECT [[Inverse_Power_Law_(IPL)_Relationship#IPL-Exponential]]
The mean,  <math>\overline{T},</math>  or Mean Time To Failure (MTTF) for the IPL-exponential relationship is given by:
 
<br>
::<math>\begin{align}
  & \overline{T}= & \mathop{}_{0}^{\infty }t\cdot f(t,V)dt=\mathop{}_{0}^{\infty }t\cdot K{{V}^{n}}{{e}^{-K{{V}^{n}}t}}dt \\
& = & \frac{1}{K{{V}^{n}}} 
\end{align}</math>
 
<br>
Note that the MTTF is a function of stress only and is simply equal to the IPL relationship (which is the original assumption), when using the exponential distribution.
<br>

Latest revision as of 23:03, 15 August 2012