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Display information for equation id:math.221453.38 on revision:221453

* Page found: Laplace's equation (eq math.221453.38)

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Hash: fb04ce96fa26c450c1ffed7d59ccc8b0

TeX (original user input):

 u = -\frac{\log(r)}{2\pi}.

TeX (checked):

u=-{\frac {\log(r)}{2\pi }}.

LaTeXML (experimental; uses MathML) rendering

MathML (2.948 KB / 695 B) :

u = - log ( r ) 2 π . 𝑢 𝑟 2 𝜋 {\displaystyle u=-{\frac{\log(r)}{2\pi}}.}
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SVG (7.271 KB / 2.9 KB) :

u equals minus StartFraction log left-parenthesis r right-parenthesis Over 2 times pi EndFraction period

MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools) rendering

MathML (0 B / 8 B) :

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SVG (0 B / 8 B) :


PNG (0 B / 8 B) :


Translations to Computer Algebra Systems

Translation to Maple

In Maple: u = -(log(r))/(2*pi)

Information about the conversion process:

\log: Logarithm; Example: \log@@{z}

Will be translated to: log($0)

Constraints: z != 0

Branch Cuts: (-\infty, 0]

Relevant links to definitions:

DLMF: http://dlmf.nist.gov/4.2#E2

Maple: https://www.maplesoft.com/support/help/maple/view.aspx?path=log


\pi: Could be the ratio of a circle's circumference to its diameter == Archimedes' constant.

But it is also a Greek letter. Be aware, that this program translated the letter as a normal Greek letter and not as a constant!
Use the DLMF-Macro \cpi to translate \pi as a constant.



Translation to Mathematica

In Mathematica: u = -Divide[Log[r],2*\[Pi]]

Information about the conversion process:

\log: Logarithm; Example: \log@@{z}

Will be translated to: Log[$0]

Constraints: z != 0

Branch Cuts: (-\infty, 0]

Relevant links to definitions:

DLMF: http://dlmf.nist.gov/4.2#E2

Mathematica: https://reference.wolfram.com/language/ref/Log.html


\pi: Could be the ratio of a circle's circumference to its diameter == Archimedes' constant.

But it is also a Greek letter. Be aware, that this program translated the letter as a normal Greek letter and not as a constant!
Use the DLMF-Macro \cpi to translate \pi as a constant.



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