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Display information for equation id:math.219724.6 on revision:219724

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Hash: ad4bfd74d423aa646421e4a2ddbd3ecb

TeX (original user input):

 k = 1 + \log_2( n ) + \log_2 \left( 1 +  \frac { |g_1| }{\sigma_{g_1}} \right)

TeX (checked):

k=1+\log _{2}(n)+\log _{2}\left(1+{\frac {|g_{1}|}{\sigma _{g_{1}}}}\right)

LaTeXML (experimental; uses MathML) rendering

MathML (6.587 KB / 1.09 KB) :

k = 1 + log 2 ( n ) + log 2 ( 1 + | g 1 | σ g 1 ) k 1 subscript 2 n subscript 2 1 subscript g 1 subscript σ subscript g 1 {\displaystyle k=1+\log_{2}(n)+\log_{2}\left(1+{\frac{|g_{1}|}{\sigma_{{g_{1}}% }}}\right)}
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SVG (11.661 KB / 4.136 KB) :

k equals 1 plus log Subscript 2 Baseline left-parenthesis n right-parenthesis plus log Subscript 2 Baseline left-parenthesis 1 plus StartFraction StartAbsoluteValue g 1 EndAbsoluteValue Over sigma Subscript g 1 Baseline EndFraction right-parenthesis

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Translations to Computer Algebra Systems

Translation to Maple

In Maple: k = 1 + [2]log()*(n)+ [2]log()*(1 +(abs(g[1]))/(sigma[g[1]]))

Information about the conversion process:

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

Will be translated to: log($0)

Translation Information: Without a given base, ln equals log.

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



Translation to Mathematica

In Mathematica: k = 1 Subscript[+ , 2]Log[]*(n)Subscript[+ , 2]Log[]*(1 +Divide[Abs[Subscript[g, 1]],Subscript[\[Sigma], Subscript[g, 1]]])

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



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