##  [Regular Variation](/regular-variation) 

  ##  [Regular Variation](https://puremath.quantumdictionary.io/regular-variation-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An asymptotic property of positive functions at infinity (or at zero) characterized by power-law scaling: a measurable function f is regularly varying at infinity with index α if for every x>0, lim_{t→∞} f(tx)/f(t) = x^α. When α=0 the function is slowly varying.