This site is supported by donations to The OEIS Foundation.

# Template:Partial

Jump to: navigation, search
The {{partial}} mathematical formatting template typesets an HTML+CSS or a LaTeX formatted partial derivative expression. Higher order partial derivatives are supported, as long as a single variable is considered (mixed partial derivatives are not yet supported).

## Usage

{{partial|function|variable|format}}

or

{{partial|function|variable|order|format}}

where format is from

• htm: text style HTML+CSS (default);
• HTM: display style HTML+CSS;
• tex: text style LaTeX;
• TEX: display style LaTeX.

## Examples of partial differentials

The code

before {{math|{{sym|partial}}{{vec|E|b}}|&}} after


yields the text style HTML+CSS

before
 ∂E
after

The code

before {{math|{{sym|partial|tex}}{{vec|E|b|tex}}|$}} after  yields the text style LaTeX before${\displaystyle \textstyle {{\partial }\mathbf {E} }}$ after The code before {{math|{{sym|partial}}{{vec|E|b}}|&&}} after  yields the display style HTML+CSS  ∂E The code {{math|{{sym|partial|tex}}{{vec|E|b|tex}}|$$}}  yields the display style LaTeX ${\displaystyle {\begin{array}{l}\displaystyle {{\partial }\mathbf {E} }\end{array}}}$ ## Examples of partial derivatives The code before {{math|{{partial|{{vec|E|b}}|''t''}}|&}} after  yields the text style HTML+CSS before  ∂E ∂t after The code before {{math|{{partial|{{vec|E|b|tex}}|''t''|tex}}|}} after  yields the text style LaTeX before${\displaystyle \textstyle {\tfrac {{\partial }^{}\mathbf {E} }{{\partial }{t}^{}}}}$ after The code before {{math|{{partial|{{vec|E|b}}|''t''|HTM}}|&&}} after  yields the display style HTML+CSS  ∂E ∂t The code {{math|{{partial|{{vec|E|b|tex}}|''t''|TEX}}|$$}}  yields the display style LaTeX ${\displaystyle {\begin{array}{l}\displaystyle {\dfrac {{\partial }^{}\mathbf {E} }{{\partial }{t}^{}}}\end{array}}}$ ## Examples of higher order partial derivatives The code before {{math|{{partial|{{vec|E|b}}|''t''|2}}, {{partial|{{vec|E|b}}|''t''|3}}|&}} after  yields the text style HTML+CSS before  ∂ 2 E ∂t 2 ,  ∂ 3 E ∂t 3 after The code before {{math|{{partial|{{vec|E|b|tex}}|''t''|2|tex}}, {{partial|{{vec|E|b|tex}}|''t''|3|tex}}|$}} after


yields the text style LaTeX

before${\displaystyle \textstyle {{\tfrac {{\partial }^{2}\mathbf {E} }{{\partial }{t}^{2}}},{\tfrac {{\partial }^{3}\mathbf {E} }{{\partial }{t}^{3}}}}}$ after

The code

before {{math|{{partial|{{vec|E|b}}|''t''|2|HTM}}, {{partial|{{vec|E|b}}|''t''|3|HTM}}|&&}} after


yields the display style HTML+CSS

 ∂ 2 E ∂t 2
,
 ∂ 3 E ∂t 3

The code

{{math|{{partial|{{vec|E|b|tex}}|''t''|2|TEX}}, {{partial|{{vec|E|b|tex}}|''t''|3|TEX}}|}}


yields the display style LaTeX

${\displaystyle {\begin{array}{l}\displaystyle {{\dfrac {{\partial }^{2}\mathbf {E} }{{\partial }{t}^{2}}},{\dfrac {{\partial }^{3}\mathbf {E} }{{\partial }{t}^{3}}}}\end{array}}}$