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Display information for equation id:math.242012.12 on revision:242012

* Page found: Radial basis function (eq math.242012.12)

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Occurrences on the following pages:

Hash: 1f727b5e71e794004e7d5f64c59dea48

TeX (original user input):

\phi(r) = r^2 \ln(r)\;

TeX (checked):

\phi (r)=r^{2}\ln(r)\;

LaTeXML (experimental; uses MathML) rendering

MathML (3.023 KB / 698 B) :

ϕ ( r ) = r 2 ln ( r ) italic-ϕ 𝑟 superscript 𝑟 2 𝑟 {\displaystyle\phi(r)=r^{2}\ln(r)\;}
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    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle\phi(r)=r^{2}\ln(r)\;}</annotation>
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SVG (6.056 KB / 2.352 KB) :

phi times left-parenthesis r right-parenthesis equals r squared times ln left-parenthesis r right-parenthesis

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: phi*(r)= (r)^(2)* ln(r)

Information about the conversion process:

\ln: Natural logarithm; Example: \ln@@{z}

Will be translated to: ln($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=ln


\phi: Could be the golden ratio == golden mean == golden section == extreme and mean ratio == medial section == divine proportion == divine section == golden proportion == golden cut == golden number.

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: \[Phi]*(r)= (r)^(2)* Log[r]

Information about the conversion process:

\ln: Natural logarithm; Example: \ln@@{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


\phi: Could be the golden ratio == golden mean == golden section == extreme and mean ratio == medial section == divine proportion == divine section == golden proportion == golden cut == golden number.

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



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