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Display information for equation id:math.3436.98 on revision:3436
* Page found: Kernkräfte (eq math.3436.98)
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Hash: 165cbeded9910978490991316797b28a
TeX (original user input):
\begin{align}
A_1 \sin Kr_0 &= A_2 \sin (k r_0 +\delta_0) &=A_2 k (r_0-a)\\
K A_1 \cos Kr_0 &= k A_2 \cos (k r_0 +\delta_0) &=A_2 k\\[0.5em]
K \cot Kr_0 &= \cot (k r_0 +\delta_0) &= \underbrace{(r_0-a)^{-1}}_{k \ll K}\\
\end{align}
TeX (checked):
{\begin{aligned}A_{1}\sin Kr_{0}&=A_{2}\sin(kr_{0}+\delta _{0})&=A_{2}k(r_{0}-a)\\KA_{1}\cos Kr_{0}&=kA_{2}\cos(kr_{0}+\delta _{0})&=A_{2}k\\[0.5em]K\cot Kr_{0}&=\cot(kr_{0}+\delta _{0})&=\underbrace {(r_{0}-a)^{-1}} _{k\ll K}\\\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><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mi>sin</mi><mo>⁡</mo><mi>K</mi><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mtd><mtd><mo>=</mo><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mi>sin</mi><mo>⁡</mo><mo stretchy="false">(</mo><mi>k</mi><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo>+</mo><msub><mi>δ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">)</mo></mtd><mtd><mo>=</mo><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mi>k</mi><mo stretchy="false">(</mo><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo>−</mo><mi>a</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd><mi>K</mi><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mi>cos</mi><mo>⁡</mo><mi>K</mi><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mtd><mtd><mo>=</mo><mi>k</mi><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mi>cos</mi><mo>⁡</mo><mo stretchy="false">(</mo><mi>k</mi><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo>+</mo><msub><mi>δ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">)</mo></mtd><mtd><mo>=</mo><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mi>k</mi></mtd></mtr><mtr><mtd><mi>K</mi><mi>cot</mi><mo>⁡</mo><mi>K</mi><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mtd><mtd><mo>=</mo><mi>cot</mi><mo>⁡</mo><mo stretchy="false">(</mo><mi>k</mi><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo>+</mo><msub><mi>δ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">)</mo></mtd><mtd><mo>=</mo><munder><mrow data-mjx-texclass="OP"><munder><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo>−</mo><mi>a</mi><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mn>1</mn></mrow></mrow></msup></mrow><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo>≪</mo><mi>K</mi></mrow></mrow></munder></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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