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Display information for equation id:math.262335.25 on revision:262335

* Page found: Time constant (eq math.262335.25)

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Hash: cef584bc12bdf51fdfec4eb1120c2eaa

TeX (original user input):

V_{\infty}(t) = A\frac{e^{j \omega t}}{j\omega +1/\tau}.

TeX (checked):

V_{\infty }(t)=A{\frac {e^{j\omega t}}{j\omega +1/\tau }}.

LaTeXML (experimental; uses MathML) rendering

MathML (5.629 KB / 1.044 KB) :

V ( t ) = A e j ω t j ω + 1 / τ . subscript V t A superscript e j ω t j ω 1 τ {\displaystyle V_{{\infty}}(t)=A{\frac{e^{{j\omega t}}}{j\omega+1/\tau}}.}
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SVG (9.897 KB / 3.661 KB) :

upper V Subscript normal infinity Baseline times left-parenthesis t right-parenthesis equals upper A times StartFraction e Superscript j times omega times t Baseline Over j times omega plus 1 slash tau EndFraction period

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Translations to Computer Algebra Systems

Translation to Maple

In Maple: V[infinity]*(t)= A*((e)^(j*omega*t))/(j*omega + 1/ tau)

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 Maple uses exp(1) for this constant.

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



Translation to Mathematica

In Mathematica: Subscript[V, Infinity]*(t)= A*Divide[(e)^(j*\[Omega]*t),j*\[Omega]+ 1/ \[Tau]]

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



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