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| The [[Character (symbol)|character]] '''∂''' ([[html element]]: '''&#8706;''' or '''&part;''', [[unicode]]: U+2202) or '''<math>\partial</math>''' is a stylized ''d'' mainly used as a [[Table of mathematical symbols|mathematical symbol]] to denote a [[partial derivative]] such as <math>\frac{\partial z}{\partial x}</math> (read as "the partial derivative of ''z'' with respect to ''x''"). The symbol was originally introduced by [[Adrien-Marie Legendre|Legendre]] in 1786, but only gained popularity when it was used by [[Carl Gustav Jacob Jacobi|Jacobi]] in 1841.<ref>{{cite web|url=http://jeff560.tripod.com/calculus.html|author=Aldrich, John|title=Earliest Uses of Symbols of Calculus|accessdate=16 January 2014}}</ref> | |
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| '''∂''' is also used to denote the following:
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| * The [[Jacobian matrix and determinant|Jacobian]], <math>\frac{\partial(x, y, z)}{\partial(u, v, w)}</math>.
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| * The [[Boundary (topology)|boundary]] of a set in topology.
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| * The boundary operator on a [[chain complex]] in [[homological algebra]].
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| * The boundary operator of a [[differential graded algebra]].
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| * The [[Dolbeault operator]] on [[complex differential form]]s.
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| The symbol may be referred to as "del",<ref>{{Citation |first=R.S. |last=Bhardwaj |year=2005 |title=Mathematics for Economics & Business |edition=2nd |page=6.4 |url=http://books.google.com/books?id=qSlGMwpNueoC&lpg=SA6-PA4&pg=SA6-PA4}}</ref> "dee",<ref>{{Citation |first=Richard A. |last=Silverman |year=1989 |title=Essential Calculus: With Applications |page=216 |url=http://books.google.com/books?id=CQ-kqE9Yo9YC&lpg=PA216&pg=PA216}}</ref> "partial dee",<ref>{{Citation |first=Malcolm |last=Pemberton |first2=Nicholas |last2=Rau |year=2011 |title=Mathematics for Economists: An Introductory Textbook |page=271 |url=http://books.google.com/books?id=H92Z6yfhxk8C&lpg=PA271&pg=PA271}}</ref> or "partial".
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| ==References==
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| {{Reflist}}
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| {{DEFAULTSORT:a}}
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| [[Category:Mathematical terminology]]
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Latest revision as of 06:20, 20 July 2014
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