##  [Packing Number](/packing-number) 

  ##  [Packing Number](https://mathlogic.quantumdictionary.io/packing-number-0) 

  

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**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The packing number P(ε,S,ρ) is the maximum cardinality of a subset of S whose elements are pairwise at distance greater than 2ε (equivalently, the maximum number of disjoint closed balls of radius ε that can be placed inside S); it measures how many well-separated points S can contain at scale ε.