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Display information for equation id:math.1758.29 on revision:1758
* Page found: Homöopolare chemische Bindung des Wasserstoffmoleküls (eq math.1758.29)
(force rerendering)Occurrences on the following pages:
Hash: 0038db8115d9c162e9e4c4411d1d6d08
TeX (original user input):
\begin{align}
& \left| \begin{matrix}
D-{{E}^{(1)}} & A-{{E}^{(1)}}|T{{|}^{2}} \\
A-{{E}^{(1)}}|T{{|}^{2}} & D-{{E}^{(1)}} \\
\end{matrix} \right|=0 \\
& {{\left( D-{{E}^{(1)}} \right)}^{2}}-{{\left( A-{{E}^{(1)}}|T{{|}^{2}} \right)}^{2}}=0={{E}^{(1)}}^{2}\left( 1-|T{{|}^{4}} \right)-2{{E}^{(1)}}\left( D-|T{{|}^{2}} \right)+{{D}^{2}}-{{A}^{2}} \\
\end{align}
TeX (checked):
{\begin{aligned}&\left|{\begin{matrix}D-{{E}^{(1)}}&A-{{E}^{(1)}}|T{{|}^{2}}\\A-{{E}^{(1)}}|T{{|}^{2}}&D-{{E}^{(1)}}\\\end{matrix}}\right|=0\\&{{\left(D-{{E}^{(1)}}\right)}^{2}}-{{\left(A-{{E}^{(1)}}|T{{|}^{2}}\right)}^{2}}=0={{E}^{(1)}}^{2}\left(1-|T{{|}^{4}}\right)-2{{E}^{(1)}}\left(D-|T{{|}^{2}}\right)+{{D}^{2}}-{{A}^{2}}\\\end{aligned}}
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MathML (3.529 KB / 474 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="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi>D</mi><mo>−</mo><msup><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup></mtd><mtd><mi>A</mi><mo>−</mo><msup><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup><mo>|</mo><mi>T</mi><msup><mo>|</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mtd></mtr><mtr><mtd><mi>A</mi><mo>−</mo><msup><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup><mo>|</mo><mi>T</mi><msup><mo>|</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mtd><mtd><mi>D</mi><mo>−</mo><msup><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">|</mo></mrow><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd><mtd><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>D</mi><mo>−</mo><msup><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>−</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>A</mi><mo>−</mo><msup><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup><mo>|</mo><mi>T</mi><msup><mo>|</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>=</mo><mn>0</mn><mo>=</mo><msup><msup><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo>−</mo><mo>|</mo><mi>T</mi><msup><mo>|</mo><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>−</mo><mn>2</mn><msup><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>D</mi><mo>−</mo><mo>|</mo><mi>T</mi><msup><mo>|</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>+</mo><msup><mi>D</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>−</mo><msup><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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