.. DO NOT EDIT. .. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY. .. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE: .. "modeling/gallery/temporal/plot_linear_temporal.py" .. LINE NUMBERS ARE GIVEN BELOW. .. only:: html .. note:: :class: sphx-glr-download-link-note Click :ref:`here ` to download the full example code .. rst-class:: sphx-glr-example-title .. _sphx_glr_modeling_gallery_temporal_plot_linear_temporal.py: .. _linear-temporal-model: Linear temporal model ======================= This model parametrises a linear time model. .. math:: F(t) = alpha + beta * (t - t_{ref}) .. GENERATED FROM PYTHON SOURCE LINES 15-18 Example plot ------------ Here is an example plot of the model: .. GENERATED FROM PYTHON SOURCE LINES 18-36 .. code-block:: default from astropy import units as u from astropy.time import Time import matplotlib.pyplot as plt from gammapy.modeling.models import ( LinearTemporalModel, Models, PowerLawSpectralModel, SkyModel, ) time_range = [Time.now(), Time.now() + 2 * u.d] linear_model = LinearTemporalModel( alpha=1, beta=0.5 / u.d, t_ref=(time_range[0].mjd - 0.1) * u.d ) linear_model.plot(time_range) plt.grid(which="both") .. image-sg:: /modeling/gallery/temporal/images/sphx_glr_plot_linear_temporal_001.png :alt: plot linear temporal :srcset: /modeling/gallery/temporal/images/sphx_glr_plot_linear_temporal_001.png :class: sphx-glr-single-img .. GENERATED FROM PYTHON SOURCE LINES 37-40 YAML representation ------------------- Here is an example YAML file using the model: .. GENERATED FROM PYTHON SOURCE LINES 40-49 .. code-block:: default model = SkyModel( spectral_model=PowerLawSpectralModel(), temporal_model=linear_model, name="linear-model", ) models = Models([model]) print(models.to_yaml()) .. rst-class:: sphx-glr-script-out Out: .. code-block:: none components: - name: linear-model type: SkyModel spectral: type: PowerLawSpectralModel parameters: - name: index value: 2.0 - name: amplitude value: 1.0e-12 unit: cm-2 s-1 TeV-1 - name: reference value: 1.0 unit: TeV frozen: true temporal: type: LinearTemporalModel parameters: - name: alpha value: 1.0 - name: beta value: 0.5 unit: d-1 - name: t_ref value: 59540.78239966044 unit: d frozen: true .. _sphx_glr_download_modeling_gallery_temporal_plot_linear_temporal.py: .. only :: html .. container:: sphx-glr-footer :class: sphx-glr-footer-example .. container:: sphx-glr-download sphx-glr-download-python :download:`Download Python source code: plot_linear_temporal.py ` .. container:: sphx-glr-download sphx-glr-download-jupyter :download:`Download Jupyter notebook: plot_linear_temporal.ipynb ` .. only:: html .. rst-class:: sphx-glr-signature `Gallery generated by Sphinx-Gallery `_