Editing Einstein notation (section)

{{Short description|Shorthand notation for tensor operations}}

In [[mathematics]], especially the usage of [[linear algebra]] in [[mathematical physics]] and [[differential geometry]], '''Einstein notation''' (also known as the  '''Einstein summation convention''' or '''Einstein summation 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 space|tangent]] and [[cotangent space]]s. It was introduced to physics by [[Albert Einstein]] in 1916.<ref name=Ein1916>{{cite journal|last=Einstein |first=Albert |author-link=Albert Einstein |title=The Foundation of the General Theory of Relativity |journal=Annalen der Physik |year=1916 |volume=354 |issue=7 |page=769 |url=http://www.alberteinstein.info/gallery/gtext3.html |doi=10.1002/andp.19163540702 |format=[[PDF]] |access-date=2006-09-03 |archive-url=https://web.archive.org/web/20060829045130/http://www.alberteinstein.info/gallery/gtext3.html |archive-date=2006-08-29 | bibcode=1916AnP...354..769E |url-status = dead }}</ref>