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Display information for equation id:math.1055.0 on revision:1055

* Page found: Paulimatrix (eq math.1055.0)

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Hash: 1411bd635687e0de55edd71b92a5d2b2

TeX (original user input):

\sigma _ x =  \begin{pmatrix}
0 & 1\\
1 & 0 \end{pmatrix}\,, \quad

\sigma _ y =  \begin{pmatrix}
0 & -\mathfrak i\\
\mathfrak i & 0 \end{pmatrix}\,, \quad

\sigma _ z =  \begin{pmatrix}
1 & 0\\
0 & -1 \end{pmatrix}\,.

TeX (checked):

\sigma _{x}={\begin{pmatrix}0&1\\1&0\end{pmatrix}}\,,\quad \sigma _{y}={\begin{pmatrix}0&-{\mathfrak {i}}\\{\mathfrak {i}}&0\end{pmatrix}}\,,\quad \sigma _{z}={\begin{pmatrix}1&0\\0&-1\end{pmatrix}}\,.

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MathML (experimentell; keine Bilder) rendering

MathML (1.745 KB / 383 B) :

σx=(0110),σy=(0ii0),σz=(1001).
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>&#x03C3;</mi><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">(</mo><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE">)</mo></mrow><mspace width="0.167em"></mspace><mo>,</mo><mspace width="1em"></mspace><msub><mi>&#x03C3;</mi><mrow data-mjx-texclass="ORD"><mi>y</mi></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">(</mo><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mn>0</mn></mtd><mtd><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow></mtd></mtr><mtr><mtd><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow></mtd><mtd><mn>0</mn></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE">)</mo></mrow><mspace width="0.167em"></mspace><mo>,</mo><mspace width="1em"></mspace><msub><mi>&#x03C3;</mi><mrow data-mjx-texclass="ORD"><mi>z</mi></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">(</mo><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mo>&#x2212;</mo><mn>1</mn></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE">)</mo></mrow><mspace width="0.167em"></mspace><mo>.</mo></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Paulimatrix page

Identifiers

  • σx
  • σy
  • i
  • i
  • σz

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