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Display information for equation id:math.224946.2 on revision:224946

* Page found: Magnetic dipole (eq math.224946.2)

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Occurrences on the following pages:

Hash: d15a507d085dbb1d1d2dfe8fa667d420

TeX (original user input):

\psi({\mathbf{r}})=\frac{{\mathbf{m}}\cdot{\mathbf{r}}}{4\pi r^{3}},

TeX (checked):

\psi ({\mathbf {r} })={\frac {{\mathbf {m} }\cdot {\mathbf {r} }}{4\pi r^{3}}},

LaTeXML (experimental; uses MathML) rendering

MathML (3.885 KB / 871 B) :

ψ ( 𝐫 ) = 𝐦 𝐫 4 π r 3 , 𝜓 𝐫 𝐦 𝐫 4 𝜋 superscript 𝑟 3 {\displaystyle\psi({{\mathbf{r}}})={\frac{{{\mathbf{m}}}\cdot{{\mathbf{r}}}}{4% \pi r^{{3}}}},}
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\pi r^{{3}}}},}</annotation>
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SVG (7.763 KB / 3.027 KB) :

psi times left-parenthesis bold r right-parenthesis equals StartFraction bold m dot bold r Over 4 times pi times r cubed EndFraction comma

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

MathML (0 B / 8 B) :

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


PNG (0 B / 8 B) :


Translations to Computer Algebra Systems

Translation to Maple

In Maple: psi*(r)=(m * r)/(4*pi*(r)^(3)),

Information about the conversion process:

\cdot: was translated to: *

\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.


\psi: Could be The reciprocal Fibonacci constant.

But this system don't know how to translate it as a constant. It was translated as a general letter.



Translation to Mathematica

In Mathematica: \[Psi]*(r)=Divide[m * r,4*\[Pi]*(r)^(3)],

Information about the conversion process:

\cdot: was translated to: *

\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.


\psi: Could be The reciprocal Fibonacci constant.

But this system don't know how to translate it as a constant. It was translated as a general letter.



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