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Display information for equation id:math.7622.12 on revision:7622

* Page found: Abbe sine condition (eq math.7622.12)

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Occurrences on the following pages:

Hash: 6f02cd11075297b8a8a70c3a8ff47136

TeX (original user input):

 k^i \sin \theta^i = k \frac{\sin \theta}{M}.

TeX (checked):

k^{i}\sin \theta ^{i}=k{\frac {\sin \theta }{M}}.

LaTeXML (experimental; uses MathML) rendering

MathML (3.912 KB / 796 B) :

k i sin θ i = k sin θ M . superscript k i superscript θ i k θ M {\displaystyle k^{i}\sin\theta^{i}=k{\frac{\sin\theta}{M}}.}
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SVG (7.813 KB / 3.061 KB) :

k Superscript i Baseline times sine theta Superscript i Baseline equals k times StartFraction sine theta Over upper M EndFraction period

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: (k)^(i)* (sin(theta))^(i)= k*(sin(theta))/(M)

Information about the conversion process:

\sin: Sine; Example: \sin@@{z}

Will be translated to: sin($0)

Relevant links to definitions:

DLMF: http://dlmf.nist.gov/4.14#E1

Maple: https://www.maplesoft.com/support/help/maple/view.aspx?path=sin


i: You use a typical letter for a constant [the imaginary unit == the principal square root of -1].

We keep it like it is! But you should know that Maple uses I for this constant.

If you want to translate it as a constant, use the corresponding DLMF macro \iunit



Translation to Mathematica

In Mathematica: (k)^(i)* (Sin[\[Theta]])^(i)= k*Divide[Sin[\[Theta]],M]

Information about the conversion process:

\sin: Sine; Example: \sin@@{z}

Will be translated to: Sin[$0]

Relevant links to definitions:

DLMF: http://dlmf.nist.gov/4.14#E1

Mathematica: https://reference.wolfram.com/language/ref/Sin.html


i: You use a typical letter for a constant [the imaginary unit == the principal square root of -1].

We keep it like it is! But you should know that Mathematica uses I for this constant.

If you want to translate it as a constant, use the corresponding DLMF macro \iunit



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