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Display information for equation id:math.1960.25 on revision:1960
* Page found: Symplektische Struktur des Phasenraums (eq math.1960.25)
(force rerendering)Occurrences on the following pages:
Hash: 7d3bd09a7899ec8e7585feeedcc85956
TeX (original user input):
\left( \bar{x},\bar{y} \right)={{\bar{x}}^{T}}J\bar{y}={{\left( {{{\bar{y}}}^{T}}{{J}^{T}}\bar{x} \right)}^{T}}=-{{\bar{y}}^{T}}{{J}^{{}}}\bar{x}=-\left( \bar{y},\bar{x} \right)
TeX (checked):
\left({\bar {x}},{\bar {y}}\right)={{\bar {x}}^{T}}J{\bar {y}}={{\left({{\bar {y}}^{T}}{{J}^{T}}{\bar {x}}\right)}^{T}}=-{{\bar {y}}^{T}}{{J}^{}}{\bar {x}}=-\left({\bar {y}},{\bar {x}}\right)
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MathML (2.026 KB / 309 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>y</mi><mo>¯</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup><mi>J</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>y</mi><mo>¯</mo></mover></mrow></mrow><mo>=</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>y</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup><msup><mi>J</mi><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>¯</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup><mo>=</mo><mo>−</mo><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>y</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msup><msup><mi>J</mi><mrow data-mjx-texclass="ORD"></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>¯</mo></mover></mrow></mrow><mo>=</mo><mo>−</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>y</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>¯</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>
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