Einstein Summation Notation: Simplify Tensor Equations

Einstein summation notation, introduced in Section 2, provides a concise way to represent tensor contractions by implicitly summing over repeated indices. Repeated indices in a single term, one being a subscript (contravariant) and the other a superscript (covariant), indicate summation over all possible values of those indices. This convention simplifies tensor equations, reduces the number of explicit summation symbols, and enhances readability.

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