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Display information for equation id:math.241462.13 on revision:241462

* Page found: Quadratic variation (eq math.241462.13)

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Hash: 682af975079c759e2381759b8093e971

TeX (original user input):

c_p\mathbb{E}([M]_t^{p/2})\le \mathbb{E}((M^*_t)^p)\le C_p\mathbb{E}([M]_t^{p/2}).

TeX (checked):

c_{p}\mathbb {E} ([M]_{t}^{p/2})\leq \mathbb {E} ((M_{t}^{*})^{p})\leq C_{p}\mathbb {E} ([M]_{t}^{p/2}).

LaTeXML (experimental; uses MathML) rendering

MathML (10.602 KB / 1.469 KB) :

c p 𝔼 ( [ M ] t p / 2 ) 𝔼 ( ( M t * ) p ) C p 𝔼 ( [ M ] t p / 2 ) . subscript 𝑐 𝑝 𝔼 superscript subscript delimited-[] 𝑀 𝑡 𝑝 2 𝔼 superscript superscript subscript 𝑀 𝑡 𝑝 subscript 𝐶 𝑝 𝔼 superscript subscript delimited-[] 𝑀 𝑡 𝑝 2 {\displaystyle c_{p}{\mathbb{E}}([M]_{t}^{{p/2}})\leq{\mathbb{E}}((M_{t}^{*})^% {p})\leq C_{p}{\mathbb{E}}([M]_{t}^{{p/2}}).}
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SVG (13.974 KB / 4.373 KB) :

c Subscript p Baseline times double-struck upper E times left-parenthesis left-bracket upper M right-bracket Subscript t Superscript p slash 2 Baseline right-parenthesis less-than-or-equal-to double-struck upper E times left-parenthesis left-parenthesis upper M Subscript t Superscript asterisk Baseline right-parenthesis Superscript p Baseline right-parenthesis less-than-or-equal-to upper C Subscript p Baseline times double-struck upper E times left-parenthesis left-bracket upper M right-bracket Subscript t Superscript p slash 2 Baseline right-parenthesis period

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Translations to Computer Algebra Systems

Translation to Maple

In Maple: c[p]*([M]([M][t])^(p/ 2))<= ((M(M[t])^(*))^(p))<= C[p]*([M]([M][t])^(p/ 2))

Information about the conversion process:


Translation to Mathematica

In Mathematica: Subscript[c, p]*([M](Subscript[[M], t])^(p/ 2))<= ((M(Subscript[M, t])^(*))^(p))<= Subscript[C, p]*([M](Subscript[[M], t])^(p/ 2))

Information about the conversion process:


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