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Display information for equation id:math.221793.16 on revision:221793

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Hash: c28452f6f2700cb1be95909c5010804c

TeX (original user input):

  \psi(x,y,z,t) = \psi(x,y,z)e^{i \omega t}.

TeX (checked):

\psi (x,y,z,t)=\psi (x,y,z)e^{i\omega t}.

LaTeXML (experimental; uses MathML) rendering

MathML (5.023 KB / 907 B) :

ψ ( x , y , z , t ) = ψ ( x , y , z ) e i ω t . 𝜓 𝑥 𝑦 𝑧 𝑡 𝜓 𝑥 𝑦 𝑧 superscript 𝑒 𝑖 𝜔 𝑡 {\displaystyle\psi(x,y,z,t)=\psi(x,y,z)e^{{i\omega t}}.}
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SVG (10.367 KB / 3.556 KB) :

psi times left-parenthesis x comma y comma z comma t right-parenthesis equals psi times left-parenthesis x comma y comma z right-parenthesis times e Superscript i times omega times t Baseline 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) :


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Translations to Computer Algebra Systems

Translation to Maple

In Maple: psi*(x , y , z , t)= psi*(x , y , z)* (e)^(i*omega*t)

Information about the conversion process:

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


\psi: Could be The reciprocal Fibonacci constant.

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


e: the mathematical constant e == Napier's constant == 2.71828182845... was translated to: e

exp(1): You use a typical letter for a constant [the mathematical constant e == Napier's constant == 2.71828182845...].

We keep it like it is! But you should know that Maple uses exp(1) for this constant.

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


i: the imaginary unit == the principal square root of -1 was translated to: i


Translation to Mathematica

In Mathematica: \[Psi]*(x , y , z , t)= \[Psi]*(x , y , z)* (e)^(i*\[Omega]*t)

Information about the conversion process:

E: You use a typical letter for a constant [the mathematical constant e == Napier's constant == 2.71828182845...].

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

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


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


\psi: Could be The reciprocal Fibonacci constant.

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


e: the mathematical constant e == Napier's constant == 2.71828182845... was translated to: e

i: the imaginary unit == the principal square root of -1 was translated to: i


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