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# Template:D/doc

This documentation subpage contains instructions, categories, or other information for Template:D. [<Edit> Template:D]

[⧼Purge⧽ Template:D/doc]
The {{d}} (differential) mathematical formatting template gives a standardized notation (e.g. italic
 d
(current choice) or roman
 d
for ordinary differentials) for differentials, in either HTML+CSS or LaTeX.

## Usage

{{d|variable}}

or

{{d|variable|type}}

or

{{d|variable|format}}

or

{{d|variable|type|format}}

where the second argument, type, is either

• ord: to get an ordinary differential (default);
• ord:n: to get an ordinary  n
th differential;
• part or partial: to get a partial differential;
• part:n or partial:n: to get a partial  n
th differential;

and where the last argument, format, is either

• htm: to get HTML+CSS (default);
• tex: to get LaTeX.

## Examples

### Integrals

The code

where {{math|{{int|0|infty|''e''{{^|{{op|-}}''x''}} {{d|''x''}}}} {{=}} 1|&}}, and (...)

yields the text style HTML+CSS: where
 ∞ 0
e  − x dx = 1
, and (...)

The code

where {{math|{{int|0|infty|''e''{{^|{{op|-}}''x''|tex}} {{d|''x''|tex}}|tex}} {{=}} 1|$}}, and (...)  yields the text style LaTeX: where${\displaystyle \textstyle {\int _{0}^{\infty }\;{e^{{\,}-{\,}x}d^{}x}=1}}$, and (...) ### Derivatives The code where {{math|{{vec|j|bold}}{{sp|1}}(''t'') {{=}} {{frac|{{d|{{vec|r|bold}}|ord:3}}|{{d|''t''{{^|3}}}}}}|&}}, and (...)  yields the text style HTML+CSS: where j (t) =  d 3 r d t 3 , and (...) The code where {{math|{{vec|j|bold|tex}}(''t'') {{=}} {{frac|{{d|{{vec|r|bold|tex}}|ord:3|tex}}|{{d|''t''{{^|3|tex}}|tex}}|tex}}|$}}, and (...)


yields the text style LaTeX: where${\displaystyle \textstyle {\mathbf {j} (t)={\frac {d^{3}\mathbf {r} }{d^{}t^{3}}}}}$, and (...)

The code

:{{math|{{vec|j|bold}}{{sp|1}}(''t'') {{=}} {{frac|{{d|{{vec|r|bold}}|ord:3}}|{{d|''t''{{^|3}}}}}}|&&}}


yields the display style HTML+CSS:

j (t) =
 d  3  r d t 3

The code

:{{math|{{vec|j|bold|tex}}(''t'') {{=}} {{frac|{{d|{{vec|r|bold|tex}}|ord:3|tex}}|{{d|''t''{{^|3|tex}}|tex}}|tex}}|$$}}  yields the display style LaTeX: ${\displaystyle {\begin{array}{l}\displaystyle {\mathbf {j} (t)={\frac {d^{3}\mathbf {r} }{d^{}t^{3}}}}\end{array}}}$ ### Partial differential equations The code {{math| {{frac|{{d|''{{Gr|psi}}''|part:2}}|{{d|''x''{{^|2}}|part}}}} + {{frac|{{d|''{{Gr|psi}}''|part:2}}|{{d|''y''{{^|2}}|part}}}} + {{frac|{{d|''{{Gr|psi}}''|part:2}}|{{d|''z''{{^|2}}|part}}}} {{=}} <!-- -->{{frac|1|''v''{{^|2}}}} {{frac|{{d|''{{Gr|psi}}''|part:2}}|{{d|''t''{{^|2}}|part}}}} |&}}  yields the text style HTML+CSS:  ∂ 2 ψ ∂ x 2 +  ∂ 2 ψ ∂ y 2 +  ∂ 2 ψ ∂ z 2 =  1 v 2  ∂ 2 ψ ∂ t 2 The code {{math| {{frac|{{d|''{{Gr|psi|tex}}''|part:2|tex}}|{{d|''x''{{^|2|tex}}|part|tex}}|tex}} + {{frac|{{d|''{{Gr|psi|tex}}''|part:2|tex}}|{{d|''y''{{^|2|tex}}|part|tex}}|tex}} + {{frac|{{d|''{{Gr|psi|tex}}''|part:2|tex}}|{{d|''z''{{^|2|tex}}|part|tex}}|tex}} {{=}} <!-- -->{{frac|1|''v''{{^|2|tex}}|tex}} {{frac|{{d|''{{Gr|psi|tex}}''|part:2|tex}}|{{d|''t''{{^|2|tex}}|part|tex}}|tex}} |}}  yields the text style LaTeX:${\displaystyle \textstyle {{\frac {\,{\partial }^{2}\psi }{\,{\partial }^{}x^{2}}}+{\frac {\,{\partial }^{2}\psi }{\,{\partial }^{}y^{2}}}+{\frac {\,{\partial }^{2}\psi }{\,{\partial }^{}z^{2}}}={\frac {1}{v^{2}}}{\frac {\,{\partial }^{2}\psi }{\,{\partial }^{}t^{2}}}}}$ The code :{{math| {{frac|{{d|''{{Gr|psi}}''|part:2}}|{{d|''x''{{^|2}}|part}}}} + {{frac|{{d|''{{Gr|psi}}''|part:2}}|{{d|''y''{{^|2}}|part}}}} + {{frac|{{d|''{{Gr|psi}}''|part:2}}|{{d|''z''{{^|2}}|part}}}} {{=}} <!-- -->{{frac|1|''v''{{^|2}}}} {{frac|{{d|''{{Gr|psi}}''|part:2}}|{{d|''t''{{^|2}}|part}}}} |&&}}  yields the display style HTML+CSS:  ∂ 2 ψ ∂ x 2 +  ∂ 2 ψ ∂ y 2 +  ∂ 2 ψ ∂ z 2 =  1 v 2  ∂ 2 ψ ∂ t 2 The code :{{math| {{frac|{{d|''{{Gr|psi|tex}}''|part:2|tex}}|{{d|''x''{{^|2|tex}}|part|tex}}|tex}} + {{frac|{{d|''{{Gr|psi|tex}}''|part:2|tex}}|{{d|''y''{{^|2|tex}}|part|tex}}|tex}} + {{frac|{{d|''{{Gr|psi|tex}}''|part:2|tex}}|{{d|''z''{{^|2|tex}}|part|tex}}|tex}} {{=}} <!-- -->{{frac|1|''v''{{^|2|tex}}|tex}} {{frac|{{d|''{{Gr|psi|tex}}''|part:2|tex}}|{{d|''t''{{^|2|tex}}|part|tex}}|tex}} |$$}}


yields the display style LaTeX:

${\displaystyle {\begin{array}{l}\displaystyle {{\frac {\,{\partial }^{2}\psi }{\,{\partial }^{}x^{2}}}+{\frac {\,{\partial }^{2}\psi }{\,{\partial }^{}y^{2}}}+{\frac {\,{\partial }^{2}\psi }{\,{\partial }^{}z^{2}}}={\frac {1}{v^{2}}}{\frac {\,{\partial }^{2}\psi }{\,{\partial }^{}t^{2}}}}\end{array}}}$