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Template:D/doc
From OeisWiki
d}} (differential) mathematical formatting template gives a standardized notation (e.g. italic
(current choice) or roman
for ordinary differentials) for differentials, in either HTML+CSS or LaTeX.
, and (...)
, and (...)
The {{d |
d |
Contents
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
th differential;n - part or partial: to get a partial differential;
- part:n or partial:n: to get a partial
th differential;n
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
|
The code
where {{math|{{int|0|infty|''e''{{^|{{op|-}}''x''|tex}} {{d|''x''|tex}}|tex}} {{=}} 1|$}}, and (...)
yields the text style LaTeX: where, and (...)
Derivatives
The code
where {{math|{{vec|j|bold}}{{sp|1}}(''t'') {{=}} {{frac|{{d|{{vec|r|bold}}|ord:3}}|{{d|''t''{{^|3}}}}}}|&}}, and (...)yields the text style HTML+CSS: where
j (t) =
|
The code
where {{math|{{vec|j|bold|tex}}(''t'') {{=}} {{frac|{{d|{{vec|r|bold|tex}}|ord:3|tex}}|{{d|''t''{{^|3|tex}}|tex}}|tex}}|$}}, and (...)
yields the text style LaTeX: where, 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}}|$$}}
yields the display style LaTeX:
Partial differential equations
The code
{{math| {{frac|{{d|''{{Gr|psi}}''|part:2}}|{{d|''x''{{^|2}}|part}}}} + {{frac|{{d|''{{Gr|psi}}''|part:2}}|{{d|''y''{{^|2}}|part}}}} + {{frac|{{d|''{{Gr|psi}}''|part:2}}|{{d|''z''{{^|2}}|part}}}} {{=}} <!-- -->{{frac|1|''v''{{^|2}}}} {{frac|{{d|''{{Gr|psi}}''|part:2}}|{{d|''t''{{^|2}}|part}}}} |&}}yields the text style HTML+CSS:
|
The code
{{math| {{frac|{{d|''{{Gr|psi|tex}}''|part:2|tex}}|{{d|''x''{{^|2|tex}}|part|tex}}|tex}} + {{frac|{{d|''{{Gr|psi|tex}}''|part:2|tex}}|{{d|''y''{{^|2|tex}}|part|tex}}|tex}} + {{frac|{{d|''{{Gr|psi|tex}}''|part:2|tex}}|{{d|''z''{{^|2|tex}}|part|tex}}|tex}} {{=}} <!-- -->{{frac|1|''v''{{^|2|tex}}|tex}} {{frac|{{d|''{{Gr|psi|tex}}''|part:2|tex}}|{{d|''t''{{^|2|tex}}|part|tex}}|tex}} |$}}
yields the text style LaTeX:
The code
:{{math| {{frac|{{d|''{{Gr|psi}}''|part:2}}|{{d|''x''{{^|2}}|part}}}} + {{frac|{{d|''{{Gr|psi}}''|part:2}}|{{d|''y''{{^|2}}|part}}}} + {{frac|{{d|''{{Gr|psi}}''|part:2}}|{{d|''z''{{^|2}}|part}}}} {{=}} <!-- -->{{frac|1|''v''{{^|2}}}} {{frac|{{d|''{{Gr|psi}}''|part:2}}|{{d|''t''{{^|2}}|part}}}} |&&}}
yields the display style HTML+CSS:
+∂ 2 ψ ∂ x 2
+∂ 2 ψ ∂ y 2
=∂ 2 ψ ∂ z 2 1 v 2 ∂ 2 ψ ∂ t 2
The code
:{{math| {{frac|{{d|''{{Gr|psi|tex}}''|part:2|tex}}|{{d|''x''{{^|2|tex}}|part|tex}}|tex}} + {{frac|{{d|''{{Gr|psi|tex}}''|part:2|tex}}|{{d|''y''{{^|2|tex}}|part|tex}}|tex}} + {{frac|{{d|''{{Gr|psi|tex}}''|part:2|tex}}|{{d|''z''{{^|2|tex}}|part|tex}}|tex}} {{=}} <!-- -->{{frac|1|''v''{{^|2|tex}}|tex}} {{frac|{{d|''{{Gr|psi|tex}}''|part:2|tex}}|{{d|''t''{{^|2|tex}}|part|tex}}|tex}} |$$}}
yields the display style LaTeX:
See also
- {{partial}} (to typeset partial derivative expressions)