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}, “tags”: []

}, “source”: [

“# Power law on sphere”

]

}, {

“cell_type”: “code”, “execution_count”: 1, “id”: “2764ab25”, “metadata”: {

“execution”: {

“iopub.execute_input”: “2021-08-17T08:15:23.223995Z”, “iopub.status.busy”: “2021-08-17T08:15:23.222613Z”, “iopub.status.idle”: “2021-08-17T08:15:26.181251Z”, “shell.execute_reply”: “2021-08-17T08:15:26.182267Z”

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}, “tags”: []

}, “outputs”: [], “source”: [

“%%capturen”, “n”, “import numpy as npn”, “n”, “import matplotlib.pyplot as pltn”, “n”, “import warningsn”, “warnings.simplefilter("ignore")n”, “n”, “from astromodels.functions.function import _known_functionsn”, “n”, “import healpy as hpn”, “n”, “n”, “from astropy.coordinates import ICRS, Galacticn”, “n”, “n”, “from jupyterthemes import jtplotn”, “jtplot.style(context="talk", fscale=1, ticks=False, grid=False)n”, “%matplotlib inlinen”, “n”, “n”, “n”

]

}, {

“cell_type”: “code”, “execution_count”: 2, “id”: “0e463dcd”, “metadata”: {

“execution”: {

“iopub.execute_input”: “2021-08-17T08:15:26.204738Z”, “iopub.status.busy”: “2021-08-17T08:15:26.203259Z”, “iopub.status.idle”: “2021-08-17T08:15:26.210099Z”, “shell.execute_reply”: “2021-08-17T08:15:26.211119Z”

}, “nbsphinx”: “hidden”, “papermill”: {

“duration”: 0.021555, “end_time”: “2021-08-17T08:15:26.211442”, “exception”: false, “start_time”: “2021-08-17T08:15:26.189887”, “status”: “completed”

}, “tags”: [

“parameters”

]

}, “outputs”: [], “source”: [

“func_name = "Latitude_galactic_diffuse"n”

]

}, {

“cell_type”: “code”, “execution_count”: 3, “id”: “7e00517a”, “metadata”: {

“execution”: {

“iopub.execute_input”: “2021-08-17T08:15:26.233348Z”, “iopub.status.busy”: “2021-08-17T08:15:26.232150Z”, “iopub.status.idle”: “2021-08-17T08:15:26.239654Z”, “shell.execute_reply”: “2021-08-17T08:15:26.240868Z”

}, “papermill”: {

“duration”: 0.022531, “end_time”: “2021-08-17T08:15:26.241208”, “exception”: false, “start_time”: “2021-08-17T08:15:26.218677”, “status”: “completed”

}, “tags”: [

“injected-parameters”

]

}, “outputs”: [], “source”: [

“# Parametersn”, “func_name = "Power_law_on_sphere"n”

]

}, {

“cell_type”: “code”, “execution_count”: 4, “id”: “f7fc0f69”, “metadata”: {

“execution”: {

“iopub.execute_input”: “2021-08-17T08:15:26.265921Z”, “iopub.status.busy”: “2021-08-17T08:15:26.264681Z”, “iopub.status.idle”: “2021-08-17T08:15:26.284379Z”, “shell.execute_reply”: “2021-08-17T08:15:26.285220Z”

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}, “tags”: []

}, “outputs”: [], “source”: [

“func = _known_functions[func_name]()n”, “n”, “NSIDE = 2**7n”, “NPIX = hp.nside2npix(NSIDE)n”, “n”, “ra, dec = hp.pix2ang(nside=NSIDE, ipix=np.arange(NPIX), lonlat=True)n”

]

}, {

“cell_type”: “markdown”, “id”: “1a488ecb”, “metadata”: {

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“duration”: 0.007417, “end_time”: “2021-08-17T08:15:26.300502”, “exception”: false, “start_time”: “2021-08-17T08:15:26.293085”, “status”: “completed”

}, “tags”: []

}, “source”: [

“## Description”

]

}, {

“cell_type”: “code”, “execution_count”: 5, “id”: “eaeb1cd5”, “metadata”: {

“execution”: {

“iopub.execute_input”: “2021-08-17T08:15:26.330181Z”, “iopub.status.busy”: “2021-08-17T08:15:26.329121Z”, “iopub.status.idle”: “2021-08-17T08:15:26.338692Z”, “shell.execute_reply”: “2021-08-17T08:15:26.339492Z”

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}, “outputs”: [

{
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“<ul>n”, “n”, “<li>description: A power law function on a sphere (in spherical coordinates)</li>n”, “n”, “<li>formula: $$ f(\vec{x}) = \left(\frac{180}{\pi}\right)^{-1.*index} \left\{\begin{matrix} 0.05^{index} & {\rm if} & |\\vec{x}-\\vec{x}_0| \le 0.05\\ |\\vec{x}-\\vec{x}_0|^{index} & {\\rm if} & 0.05 < |\\vec{x}-\\vec{x}_0| \le maxr \\ 0 & {\rm if} & |\\vec{x}-\\vec{x}_0|>maxr\end{matrix}\right. $$</li>n”, “n”, “<li>parameters: n”, “<ul>n”, “n”, “<li>lon0: n”, “<ul>n”, “n”, “<li>value: 0.0</li>n”, “n”, “<li>desc: Longitude of the center of the source</li>n”, “n”, “<li>min_value: 0.0</li>n”, “n”, “<li>max_value: 360.0</li>n”, “n”, “<li>unit: </li>n”, “n”, “<li>is_normalization: False</li>n”, “n”, “<li>delta: 0.1</li>n”, “n”, “<li>free: True</li>n”, “n”, “</ul>n”, “n”, “</li>n”, “n”, “<li>lat0: n”, “<ul>n”, “n”, “<li>value: 0.0</li>n”, “n”, “<li>desc: Latitude of the center of the source</li>n”, “n”, “<li>min_value: -90.0</li>n”, “n”, “<li>max_value: 90.0</li>n”, “n”, “<li>unit: </li>n”, “n”, “<li>is_normalization: False</li>n”, “n”, “<li>delta: 0.1</li>n”, “n”, “<li>free: True</li>n”, “n”, “</ul>n”, “n”, “</li>n”, “n”, “<li>index: n”, “<ul>n”, “n”, “<li>value: -2.0</li>n”, “n”, “<li>desc: power law index</li>n”, “n”, “<li>min_value: -5.0</li>n”, “n”, “<li>max_value: -1.0</li>n”, “n”, “<li>unit: </li>n”, “n”, “<li>is_normalization: False</li>n”, “n”, “<li>delta: 0.2</li>n”, “n”, “<li>free: True</li>n”, “n”, “</ul>n”, “n”, “</li>n”, “n”, “<li>maxr: n”, “<ul>n”, “n”, “<li>value: 20.0</li>n”, “n”, “<li>desc: max radius</li>n”, “n”, “<li>min_value: None</li>n”, “n”, “<li>max_value: None</li>n”, “n”, “<li>unit: </li>n”, “n”, “<li>is_normalization: False</li>n”, “n”, “<li>delta: 2.0</li>n”, “n”, “<li>free: False</li>n”, “n”, “</ul>n”, “n”, “</li>n”, “n”, “<li>minr: n”, “<ul>n”, “n”, “<li>value: 0.05</li>n”, “n”, “<li>desc: radius below which the PL is approximated as a constant</li>n”, “n”, “<li>min_value: None</li>n”, “n”, “<li>max_value: None</li>n”, “n”, “<li>unit: </li>n”, “n”, “<li>is_normalization: False</li>n”, “n”, “<li>delta: 0.005000000000000001</li>n”, “n”, “<li>free: False</li>n”, “n”, “</ul>n”, “n”, “</li>n”, “n”, “</ul>n”, “n”, “</li>n”, “n”, “</ul>n”

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” * description: A power law function on a sphere (in spherical coordinates)n”, ” * formula: $$ f(\vec{x}) = \left(\frac{180}{\pi}\right)^{-1.*index} \left\{\begin{matrix}n”, ” * 0.05^{index} & {\rm if} & |\\vec{x}-\\vec{x}_0| \le 0.05\\ |\\vec{x}-\\vec{x}_0|^{index}\n", " * & {\\rm if} & 0.05 < |\\vec{x}-\\vec{x}_0| \le maxr \\ 0 & {\rm if} & |\\vec{x}-\\vec{x}_0|>maxr\end{matrix}\right.n”, ” * $$n”, ” * parameters:n”, ” * lon0:n”, ” * value: 0.0n”, ” * desc: Longitude of the center of the sourcen”, ” * min_value: 0.0n”, ” * max_value: 360.0n”, ” * unit: ‘’n”, ” * is_normalization: falsen”, ” * delta: 0.1n”, ” * free: truen”, ” * lat0:n”, ” * value: 0.0n”, ” * desc: Latitude of the center of the sourcen”, ” * min_value: -90.0n”, ” * max_value: 90.0n”, ” * unit: ‘’n”, ” * is_normalization: falsen”, ” * delta: 0.1n”, ” * free: truen”, ” * index:n”, ” * value: -2.0n”, ” * desc: power law indexn”, ” * min_value: -5.0n”, ” * max_value: -1.0n”, ” * unit: ‘’n”, ” * is_normalization: falsen”, ” * delta: 0.2n”, ” * free: truen”, ” * maxr:n”, ” * value: 20.0n”, ” * desc: max radiusn”, ” * min_value: nulln”, ” * max_value: nulln”, ” * unit: ‘’n”, ” * is_normalization: falsen”, ” * delta: 2.0n”, ” * free: falsen”, ” * minr:n”, ” * value: 0.05n”, ” * desc: radius below which the PL is approximated as a constantn”, ” * min_value: nulln”, ” * max_value: nulln”, ” * unit: ‘’n”, ” * is_normalization: falsen”, ” * delta: 0.005000000000000001n”, ” * free: false”

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“func.display()”

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}, “tags”: []

}, “source”: [

“## Shapen”, “n”, “The shape of the function on the sky.”

]

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“nbsphinx-thumbnail”

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“0.0 180.0 -180.0 180.0n”

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n”, “text/plain”: [

“<Figure size 612x388.8 with 2 Axes>”

]

}, “metadata”: {

“needs_background”: “light”

}, “output_type”: “display_data”

}

], “source”: [

“n”, “n”, “m=func(ra, dec)n”, “hp.mollview(m, title=func_name, cmap="magma")n”, “hp.graticule(color="grey", lw=2)n”, “n”, “n”

]

}

], “metadata”: {

“jupytext”: {

“formats”: “ipynb,md”

}, “kernelspec”: {

“display_name”: “Python 3”, “language”: “python”, “name”: “python3”

}, “language_info”: {

“codemirror_mode”: {

“name”: “ipython”, “version”: 3

}, “file_extension”: “.py”, “mimetype”: “text/x-python”, “name”: “python”, “nbconvert_exporter”: “python”, “pygments_lexer”: “ipython3”, “version”: “3.7.11”

}, “papermill”: {

“default_parameters”: {}, “duration”: 6.208755, “end_time”: “2021-08-17T08:15:28.401277”, “environment_variables”: {}, “exception”: null, “input_path”: “Power_law_on_sphere.ipynb”, “output_path”: “../docs/notebooks/Power_law_on_sphere.ipynb”, “parameters”: {

“func_name”: “Power_law_on_sphere”

}, “start_time”: “2021-08-17T08:15:22.192522”, “version”: “2.3.3”

}

}, “nbformat”: 4, “nbformat_minor”: 5

}