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====Arrhenius-Exponential Reliability Function====
#REDIRECT [[Arrhenius_Relationship#Arrhenius-Exponential]]
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The Arrhenius-exponential reliability function is given by:
 
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::<math>R(T,V)={{e}^{-\tfrac{T}{C{{e}^{\tfrac{B}{V}}}}}}</math>
 
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This function is the complement of the Arrhenius-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}\frac{1}{C{{e}^{\tfrac{B}{V}}}}{{e}^{-\tfrac{T}{C{{e}^{\tfrac{B}{V}}}}}}dT={{e}^{-\tfrac{T}{C{{e}^{\tfrac{B}{V}}}}}}</math>
 
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Latest revision as of 00:05, 16 August 2012