##  [Tensor Contraction](/tensor-contraction) 

  ##  [Tensor Contraction](https://natural.quantumdictionary.io/tensor-contraction-0) 

  

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**Natural & Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An index operation that sums over a pair consisting of one covariant and one contravariant index of a tensor, producing a tensor of lower rank (possibly a scalar).