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Update NuisanceParametersImpact.ipynb
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example_notebooks/NuisanceParametersImpact.ipynb

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"id": "3295a361-7b29-4090-9226-c4418ccc5781",
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"metadata": {},
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"source": [
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"The rate for each nuclear reaction $i$ is $r_i(T) \\equiv u^{-1} \\langle \\sigma v \\rangle (T)$, where $u$ is the atomic mass unit, $\\langle \\sigma v \\rangle$. Rate uncertainties in LINX are captured by taking $r_i$ to be log-normally distributed, with a mean value $ \\overline{r}_i(T)$ and standard deviation $\\sigma_i(T)$. Specifically, $\\log r_i (T) = \\log \\overline{r}_i (T) + q_i \\sigma_i (T)$, where $q_i$ is a unit Gaussian random variable.\n",
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"The (pretabulated) rate for each nuclear reaction $i$ is $r_i(T) \\equiv u^{-1} \\langle \\sigma v \\rangle (T)$, where $u$ is the atomic mass unit, $\\langle \\sigma v \\rangle$ is the thermally-averaged cross section, and $T$ is temperature. Rate uncertainties in LINX are captured by taking $r_i$ to be log-normally distributed, with a mean value $ \\overline{r}_i(T)$ and standard deviation $\\sigma_i(T)$. Specifically, $\\log r_i (T) = \\log \\overline{r}_i (T) + q_i \\sigma_i (T)$, where $q_i$ is a unit Gaussian random variable.\n",
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"\n",
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"Let's define a new wrapper function that takes an argument for `nuclear_rates_q`, where `nuclear_rates_q` is an array of $q_i$. Passing in nonzero values for the entries of `nuclear_rates_q` will allow us to vary the nuclear rates."
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.12.3"
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"version": "3.12.11"
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}
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},
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"nbformat": 4,

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