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Display information for equation id:math.2263.31 on revision:2263

* Page found: Vorurteilsfreie Schätzung des statistischen Operators zu einem festen Zeitpunkt (eq math.2263.31)

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TeX (original user input): 

\begin{align}
  & \eta \left( {{\rho }_{d}} \right)=-k\sum\limits_{i=1}^{d}{\left\langle  i \right|}\frac{1}{d}\ln \frac{1}{d}\left| i \right\rangle  \\
 & =k\sum\limits_{i=1}^{d}{\frac{1}{d}\ln \frac{1}{d}}=k\ln \frac{1}{d} 
\end{align}

TeX (checked): 

{\begin{aligned}&\eta \left({{\rho }_{d}}\right)=-k\sum \limits _{i=1}^{d}{\left\langle i\right|}{\frac {1}{d}}\ln {\frac {1}{d}}\left|i\right\rangle \\&=k\sum \limits _{i=1}^{d}{{\frac {1}{d}}\ln {\frac {1}{d}}}=k\ln {\frac {1}{d}}\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (19.251 KB / 2.396 KB) :

η ⁢ ( ρ d ) = - k ⁢ ∑ i = 1 d ⟨ i | 1 d ⁢ ln ⁡ 1 d | i ⟩ = k ⁢ ∑ i = 1 d 1 d ⁢ ln ⁡ 1 d = k ⁢ ln ⁡ 1 d missing-subexpression 𝜂 subscript 𝜌 𝑑 𝑘 superscript subscript 𝑖 1 𝑑 quantum-operator-product 𝑖 1 𝑑 1 𝑑 𝑖 missing-subexpression absent 𝑘 superscript subscript 𝑖 1 𝑑 1 𝑑 1 𝑑 𝑘 1 𝑑 {\displaystyle{\displaystyle\begin{aligned} &\displaystyle\eta\left({{\rho}_{d% }}\right)=-k\sum\limits_{i=1}^{d}{\left\langle i\right|}\frac{1}{d}\ln\frac{1}% {d}\left|i\right\rangle\\ &\displaystyle=k\sum\limits_{i=1}^{d}{\frac{1}{d}\ln\frac{1}{d}}=k\ln\frac{1}{% d}\end{aligned}}}

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MathML (experimentell; keine Bilder) rendering

MathML (2.242 KB / 444 B) :

η(ρd)=−k∑i=1d⟨i|1dln⁡1d|i⟩=k∑i=1d1dln⁡1d=kln⁡1d

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Calculated based on the variables occurring on the entire Vorurteilsfreie Schätzung des statistischen Operators zu einem festen Zeitpunkt page

Identifiers

  • η
  • ρd
  • k
  • i
  • d
  • i
  • d
  • d
  • i
  • k
  • i
  • d
  • d
  • d
  • k
  • d

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Abgerufen von „https://wiki.physikerwelt.de/wiki/Spezial:Formelinformation“