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Display information for equation id:math.1824.54 on revision:1824
* Page found: Das Wasserstoffatom (relativistsich) (eq math.1824.54)
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Hash: 04aa2e287c12f76ba761625ca01383c7
TeX (original user input):
\begin{align}
& \left( k+1 \right){{g}_{k+1}}\approx 2{{g}_{k}} \\
& \Rightarrow \frac{{{g}_{k+1}}}{{{g}_{k}}}\approx \frac{2}{k+1}\Rightarrow {{g}_{k+1}}\approx \frac{{{2}^{k+1}}}{\left( k+1 \right)!}{{g}_{0}} \\
& \Rightarrow g(\rho )\tilde{\ }{{e}^{2\rho }} \\
& \Rightarrow f(\rho )\tilde{\ }{{e}^{2\rho }} \\
\end{align}
TeX (checked):
{\begin{aligned}&\left(k+1\right){{g}_{k+1}}\approx 2{{g}_{k}}\\&\Rightarrow {\frac {{g}_{k+1}}{{g}_{k}}}\approx {\frac {2}{k+1}}\Rightarrow {{g}_{k+1}}\approx {\frac {{2}^{k+1}}{\left(k+1\right)!}}{{g}_{0}}\\&\Rightarrow g(\rho ){\tilde {\ }}{{e}^{2\rho }}\\&\Rightarrow f(\rho ){\tilde {\ }}{{e}^{2\rho }}\\\end{aligned}}
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<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><mi>k</mi><mo>+</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo>+</mo><mn>1</mn></mrow></mrow></msub><mo>≈</mo><mn>2</mn><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo>+</mo><mn>1</mn></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mfrac></mrow><mo>≈</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo>+</mo><mn>1</mn></mrow></mrow></mfrac></mrow><mo>⇒</mo><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo>+</mo><mn>1</mn></mrow></mrow></msub><mo>≈</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mn>2</mn><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo>+</mo><mn>1</mn></mrow></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>k</mi><mo>+</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>!</mi></mrow></mrow></mfrac></mrow><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><mi>g</mi><mo stretchy="false">(</mo><mi>ρ</mi><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo>~</mo></mover></mrow></mrow><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>ρ</mi></mrow></mrow></msup></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><mi>f</mi><mo stretchy="false">(</mo><mi>ρ</mi><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo>~</mo></mover></mrow></mrow><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>ρ</mi></mrow></mrow></msup></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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