##  [Method of Continuity](/method-continuity) 

  ##  [Method of Continuity](https://puremath.quantumdictionary.io/method-continuity-0) 

  

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**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A homotopy-based existence method that connects a problem with known solvability to a target problem via a continuous family of problems parameterized by t in [0,1], relying on a priori estimates and topological or analytic continuation to carry solutions along the path.