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Display information for equation id:math.262335.43 on revision:262335

* Page found: Time constant (eq math.262335.43)

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Hash: f03cddc453a328f221dfb0da009f34e3

TeX (original user input):

 \Delta T(t) = \Delta T_0 e^{-t/\tau},

TeX (checked):

\Delta T(t)=\Delta T_{0}e^{-t/\tau },

LaTeXML (experimental; uses MathML) rendering

MathML (4.318 KB / 877 B) :

Δ T ( t ) = Δ T 0 e - t / τ , Δ 𝑇 𝑡 Δ subscript 𝑇 0 superscript 𝑒 𝑡 𝜏 {\displaystyle\Delta T(t)=\Delta T_{0}e^{{-t/\tau}},}
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SVG (7.197 KB / 2.562 KB) :

normal upper Delta times upper T times left-parenthesis t right-parenthesis equals normal upper Delta times upper T 0 times e Superscript minus t slash tau Baseline comma

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: Delta*T*(t)= Delta*T[0]*(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: \[CapitalDelta]*T*(t)= \[CapitalDelta]*Subscript[T, 0]*(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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