 ##  [Periodic Boundary Condition](/periodic-boundary-condition) 

  ##  [Periodic Boundary Condition](https://mathlogic.quantumdictionary.io/periodic-boundary-condition-0) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A prescription that identifies opposite boundaries of a domain so that the solution and its relevant derivatives repeat exactly (or with a fixed phase) when crossing from one side of the domain to the opposite side, creating a tiled or translationally invariant extension of the field.