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Display information for equation id:math.221793.22 on revision:221793

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Hash: a6788b54de9224a62279425e8184bab3

TeX (original user input):

  \psi(x,y,z,t) = \psi_{0}e^{i \left(\omega t - k_{z} z - k_{x} x - k_{y} y\right)}.

TeX (checked):

\psi (x,y,z,t)=\psi _{0}e^{i\left(\omega t-k_{z}z-k_{x}x-k_{y}y\right)}.

LaTeXML (experimental; uses MathML) rendering

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ψ ( x , y , z , t ) = ψ 0 e i ( ω t - k z z - k x x - k y y ) . 𝜓 𝑥 𝑦 𝑧 𝑡 subscript 𝜓 0 superscript 𝑒 𝑖 𝜔 𝑡 subscript 𝑘 𝑧 𝑧 subscript 𝑘 𝑥 𝑥 subscript 𝑘 𝑦 𝑦 {\displaystyle\psi(x,y,z,t)=\psi_{{0}}e^{{i\left(\omega t-k_{{z}}z-k_{{x}}x-k_% {{y}}y\right)}}.}
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SVG (14.447 KB / 4.624 KB) :

psi times left-parenthesis x comma y comma z comma t right-parenthesis equals psi 0 times e Superscript i times left-parenthesis omega times t minus k Super Subscript z Superscript times z minus k Super Subscript x Superscript times x minus k Super Subscript y Superscript times y right-parenthesis Baseline period

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Translations to Computer Algebra Systems

Translation to Maple

In Maple: psi*(x , y , z , t)= psi[0]*(e)^(i*(omega*t - k[z]*z - k[x]*x - k[y]*y))

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)= Subscript[\[Psi], 0]*(e)^(i*(\[Omega]*t - Subscript[k, z]*z - Subscript[k, x]*x - Subscript[k, y]*y))

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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