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Display information for equation id:math.221793.29 on revision:221793

* Page found: Cutoff frequency (eq math.221793.29)

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Occurrences on the following pages:

Hash: ab16bff7bd420f1edc2b9f366eaa10b1

TeX (original user input):

  \omega_{c} = c \sqrt{\left(\frac{n \pi}{a}\right)^2 + \left(\frac{m \pi}{b}\right)^2}

TeX (checked):

\omega _{c}=c{\sqrt {\left({\frac {n\pi }{a}}\right)^{2}+\left({\frac {m\pi }{b}}\right)^{2}}}

LaTeXML (experimental; uses MathML) rendering

MathML (6.187 KB / 1.057 KB) :

ω c = c ( n π a ) 2 + ( m π b ) 2 subscript 𝜔 𝑐 𝑐 superscript 𝑛 𝜋 𝑎 2 superscript 𝑚 𝜋 𝑏 2 {\displaystyle\omega_{{c}}=c{\sqrt{\left({\frac{n\pi}{a}}\right)^{2}+\left({% \frac{m\pi}{b}}\right)^{2}}}}
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SVG (10.63 KB / 3.829 KB) :

omega Subscript c Baseline equals c times StartRoot left-parenthesis StartFraction n times pi Over a EndFraction right-parenthesis squared plus left-parenthesis StartFraction m times pi Over b EndFraction right-parenthesis squared EndRoot

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

MathML (0 B / 8 B) :

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PNG (0 B / 8 B) :


Translations to Computer Algebra Systems

Translation to Maple

In Maple: omega[c]= c*sqrt(((n*pi)/(a))^(2)+((m*pi)/(b))^(2))

Information about the conversion process:

\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: Subscript[\[Omega], c]= c*Sqrt[(Divide[n*\[Pi],a])^(2)+(Divide[m*\[Pi],b])^(2)]

Information about the conversion process:

\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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