Shorthand notation for tensor operations
Also known as Einstein summation convention · summation convention
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In mathematics, especially the usage of linear algebra in mathematical physics and differential geometry, Einstein notation is a notational convention that implies summation over a set of indexed terms in a formula, thus achieving brevity. As part of mathematics it is a notational subset of Ricci calculus; however, it is often used in physics applications that do not distinguish between tangent and cotangent spaces. It was introduced to physics by Albert Einstein in 1916.