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Display information for equation id:math.262335.30 on revision:262335

* Page found: Time constant (eq math.262335.30)

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Hash: 3807e2ac22cd3a80af3f4da0eeafe2a5

TeX (original user input):

V(t) = V_0e^{-t/\tau} +A  \tau \left( 1 - e^{-t/\tau}\right).

TeX (checked):

V(t)=V_{0}e^{-t/\tau }+A\tau \left(1-e^{-t/\tau }\right).

LaTeXML (experimental; uses MathML) rendering

MathML (7.242 KB / 1.179 KB) :

V ( t ) = V 0 e - t / τ + A τ ( 1 - e - t / τ ) . 𝑉 𝑡 subscript 𝑉 0 superscript 𝑒 𝑡 𝜏 𝐴 𝜏 1 superscript 𝑒 𝑡 𝜏 {\displaystyle V(t)=V_{0}e^{{-t/\tau}}+A\tau\left(1-e^{{-t/\tau}}\right).}
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SVG (10.212 KB / 3.291 KB) :

upper V times left-parenthesis t right-parenthesis equals upper V 0 times e Superscript minus t slash tau Baseline plus upper A times tau times left-parenthesis 1 minus e Superscript minus t slash tau Baseline right-parenthesis period

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MathML (0 B / 8 B) :

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Translations to Computer Algebra Systems

Translation to Maple

In Maple: V*(t)= V[0]*(e)^(- t/ tau)+ A*tau*(1 - (e)^(- t/ tau))

Information about the conversion process:

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



Translation to Mathematica

In Mathematica: V*(t)= Subscript[V, 0]*(e)^(- t/ \[Tau])+ A*\[Tau]*(1 - (e)^(- t/ \[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


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


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