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Display information for equation id:math.3445.10 on revision:3445
* Page found: Kernzerfälle, Strahlenschutz (eq math.3445.10)
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Hash: 197599933e4fa985bc7e62fb159b9ffd
TeX (original user input):
\begin{align}
t = 0 & N_1(0)\\
t > 0 & N_1 (t) =N_1(0)e^{-\lambda_{12}t}\\
& dN_2/dt = \underbrace{\lambda_{12} N_1(t)}_{\text{Zuwachs}}-\underbrace{\lambda_{23}N_2(t)}_{\text{Zerfall}}
\end{align}
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<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mi>t</mi><mo>></mo><mn>0</mn></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>12</mn></mrow></msub><mi>t</mi></mrow></mrow></msup></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>d</mi><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo lspace="0" rspace="0">/</mo><mi>d</mi><mi>t</mi><mo stretchy="false">=</mo><munder><mrow data-mjx-texclass="OP"><munder><mrow data-mjx-texclass="ORD"><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>12</mn></mrow></msub><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mrow><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>Zuwachs</mtext></mrow></mrow></munder><mo stretchy="false">−</mo><munder><mrow data-mjx-texclass="OP"><munder><mrow data-mjx-texclass="ORD"><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>23</mn></mrow></msub><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mrow><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>Zerfall</mtext></mrow></mrow></munder></mtd></mtr></mtable></mstyle></mrow></math>
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