Template:Eyring-ex rf: Difference between revisions

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(Created page with '====Eyring-Exponential Reliability Function==== <br> The Eyring-exponential reliability function is given by: <br> ::<math>R(T,V)={{e}^{-T\cdot V\cdot {{e}^{\left( A-\tfrac{B}{V…')
 
 
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====Eyring-Exponential Reliability Function====
#REDIRECT [[Eyring_Relationship#Eyring-Exponential]]
<br>
The Eyring-exponential reliability function is given by:
 
<br>
::<math>R(T,V)={{e}^{-T\cdot V\cdot {{e}^{\left( A-\tfrac{B}{V} \right)}}}}</math>
 
<br>
This function is the complement of the Eyring-exponential cumulative distribution function or:
 
<br>
::<math>R(T,V)=1-Q(T,V)=1-\mathop{}_{0}^{T}f(T,V)dT</math>
 
<br>
:and:
 
<br>
::<math>R(T,V)=1-\mathop{}_{0}^{T}V{{e}^{\left( A-\tfrac{B}{V} \right)}}{{e}^{-T\cdot V\cdot {{e}^{\left( A-\tfrac{B}{V} \right)}}}}dT={{e}^{-T\cdot V\cdot {{e}^{\left( A-\tfrac{B}{V} \right)}}}}</math>

Latest revision as of 23:04, 16 August 2012

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