Template:Ipl ex mean - Revision history

Richard House: Redirected page to Inverse Power Law (IPL) Relationship#IPL-Exponential

2012-08-15T23:03:55Z

Redirected page to Inverse Power Law (IPL) Relationship#IPL-Exponential

← Older revision		Revision as of 23:03, 15 August 2012
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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}= & \int_{0}^{\infty }t\cdot f(t,V)dt=\int_{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>~~

Athanasios Gerokostopoulos: /* Mean or MTTF */

2012-02-15T17:24:01Z

Mean or MTTF

← Older revision		Revision as of 17:24, 15 February 2012
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	<br>		<br>
	::<math>\begin{align}		::<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 \\		& \overline{T}= & \int_{0}^{\infty }t\cdot f(t,V)dt=\int_{0}^{\infty }t\cdot K{{V}^{n}}{{e}^{-K{{V}^{n}}t}}dt =\ \frac{1}{K{{V}^{n}}}
	~~& = &~~ \frac{1}{K{{V}^{n}}}
	\end{align}</math>		\end{align}</math>

Nicolette Young: Created page with '====Mean or MTTF==== The mean, $\overline{T},$ or Mean Time To Failure (MTTF) for the IPL-exponential relationship is given by:
:: $\begin{align} & \over…'$

2012-01-13T18:00:52Z

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…'

New page

====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}
& \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>

Template:Ipl ex mean - Revision history

Richard House: Redirected page to Inverse Power Law (IPL) Relationship#IPL-Exponential

Athanasios Gerokostopoulos: /* Mean or MTTF */

Nicolette Young: Created page with '====Mean or MTTF==== The mean, \overline{T}, or Mean Time To Failure (MTTF) for the IPL-exponential relationship is given by: ::\begin{align} & \over…'

Nicolette Young: Created page with '====Mean or MTTF==== The mean, $\overline{T},$ or Mean Time To Failure (MTTF) for the IPL-exponential relationship is given by:
:: $\begin{align} & \over…'$