\n",
"\n",
"**This is a fixed-text formatted version of a Jupyter notebook**\n",
"\n",
"- Try online [![Binder](https://mybinder.org/badge.svg)](https://mybinder.org/v2/gh/gammapy/gammapy-webpage/v0.15?urlpath=lab/tree/models.ipynb)\n",
"- You can contribute with your own notebooks in this\n",
"[GitHub repository](https://github.com/gammapy/gammapy/tree/master/tutorials).\n",
"- **Source files:**\n",
"[models.ipynb](../_static/notebooks/models.ipynb) |\n",
"[models.py](../_static/notebooks/models.py)\n",
"
\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Model Gallery\n",
"\n",
"**TODO: Write me!**\n",
"\n",
"This is an overview of the Gammapy built-in models in `~gammapy.modeling.models`.\n",
"\n",
"Note that there is a separate tutorial `modeling.ipynb` that explains about `~gammapy.modeling`,\n",
"the Gammapy modeling and fitting framework. You have to read that to learn how to work with models.\n",
"\n",
"Topics covered here:\n",
"\n",
"- How to create spatial, spectral and temporal models.\n",
"- How to create 3D sky models and other compound models.\n",
"- How to serialize/read and deserialize/write models.\n",
"- How to use the model registries to list all available models or serialise models."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from astropy import units as u\n",
"from astropy.coordinates import Angle\n",
"from gammapy.maps import Map, WcsGeom\n",
"import gammapy.modeling.models as gm"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
}
},
"source": [
"## Spatial models"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
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