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Display information for equation id:math.225934.13 on revision:225934

* Page found: Geometric Brownian motion (eq math.225934.13)

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Hash: 5bffab625fac97a9aedea4573ffaf432

TeX (original user input):

\mathbb{E}(S_t)= S_0e^{\mu  t},

TeX (checked):

\mathbb {E} (S_{t})=S_{0}e^{\mu t},

LaTeXML (experimental; uses MathML) rendering

MathML (3.984 KB / 817 B) :

𝔼 ( S t ) = S 0 e μ t , 𝔼 subscript 𝑆 𝑡 subscript 𝑆 0 superscript 𝑒 𝜇 𝑡 {\displaystyle{\mathbb{E}}(S_{t})=S_{0}e^{{\mu t}},}
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SVG (7.647 KB / 3.014 KB) :

double-struck upper E times left-parenthesis upper S Subscript t Baseline right-parenthesis equals upper S 0 times e Superscript mu times t Baseline comma

MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools) rendering

MathML (0 B / 8 B) :

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


PNG (0 B / 8 B) :


Translations to Computer Algebra Systems

Translation to Maple

In Maple: E*(S[t])= S[0]*(e)^(mu*t),

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: E*(Subscript[S, t])= Subscript[S, 0]*(e)^(\[Mu]*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


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


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