Template:Eyring-ex rf: Difference between revisions

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====Eyring-Exponential Reliability Function====
#REDIRECT [[Eyring_Relationship#Eyring-Exponential]]
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The Eyring-exponential reliability function is given by:
 
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::<math>R(T,V)={{e}^{-T\cdot V\cdot {{e}^{\left( A-\tfrac{B}{V} \right)}}}}</math>
 
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This function is the complement of the Eyring-exponential cumulative distribution function or:
 
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::<math>R(T,V)=1-Q(T,V)=1-\int_{0}^{T}f(T,V)dT</math>
 
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:and:
 
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::<math>R(T,V)=1-\int_{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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