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Display information for equation id:math.223294.2 on revision:223294

* Page found: Box–Muller transform (eq math.223294.2)

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Occurrences on the following pages:

Hash: 30196618d3415436daa5966e5003f9e4

TeX (original user input):

R^2 = -2\cdot\ln U_1\,

TeX (checked):

R^{2}=-2\cdot \ln U_{1}\,

LaTeXML (experimental; uses MathML) rendering

MathML (2.916 KB / 692 B) :

R 2 = - 2 ln U 1 superscript R 2 normal-⋅ 2 subscript U 1 {\displaystyle R^{2}=-2\cdot\ln U_{1}\,}
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    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle R^{2}=-2\cdot\ln U_{1}\,}</annotation>
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SVG (5.988 KB / 2.453 KB) :

upper R squared equals minus 2 dot ln upper U 1

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: (R)^(2)= - 2 * ln(U)[1]

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


\cdot: was translated to: *


Translation to Mathematica

In Mathematica: (R)^(2)= - 2 * Subscript[Log[U], 1]

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


\cdot: was translated to: *


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