.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "advanced/mathematical_optimization/auto_examples/plot_smooth.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        :ref:`Go to the end <sphx_glr_download_advanced_mathematical_optimization_auto_examples_plot_smooth.py>`
        to download the full example code.

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_advanced_mathematical_optimization_auto_examples_plot_smooth.py:


Smooth vs non-smooth
=====================

Draws a figure to explain smooth versus non smooth optimization.

.. GENERATED FROM PYTHON SOURCE LINES 7-34



.. rst-class:: sphx-glr-horizontal


    *

      .. image-sg:: /advanced/mathematical_optimization/auto_examples/images/sphx_glr_plot_smooth_001.png
         :alt: plot smooth
         :srcset: /advanced/mathematical_optimization/auto_examples/images/sphx_glr_plot_smooth_001.png
         :class: sphx-glr-multi-img

    *

      .. image-sg:: /advanced/mathematical_optimization/auto_examples/images/sphx_glr_plot_smooth_002.png
         :alt: plot smooth
         :srcset: /advanced/mathematical_optimization/auto_examples/images/sphx_glr_plot_smooth_002.png
         :class: sphx-glr-multi-img





.. code-block:: Python


    import numpy as np
    import matplotlib.pyplot as plt

    x = np.linspace(-1.5, 1.5, 101)

    # A smooth function
    plt.figure(1, figsize=(3, 2.5))
    plt.clf()

    plt.plot(x, np.sqrt(0.2 + x**2), linewidth=2)
    plt.text(-1, 0, "$f$", size=20)

    plt.ylim(ymin=-0.2)
    plt.axis("off")
    plt.tight_layout()

    # A non-smooth function
    plt.figure(2, figsize=(3, 2.5))
    plt.clf()
    plt.plot(x, np.abs(x), linewidth=2)
    plt.text(-1, 0, "$f$", size=20)

    plt.ylim(ymin=-0.2)
    plt.axis("off")
    plt.tight_layout()
    plt.show()


.. rst-class:: sphx-glr-timing

   **Total running time of the script:** (0 minutes 0.037 seconds)


.. _sphx_glr_download_advanced_mathematical_optimization_auto_examples_plot_smooth.py:

.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-example

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download Jupyter notebook: plot_smooth.ipynb <plot_smooth.ipynb>`

    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download Python source code: plot_smooth.py <plot_smooth.py>`

    .. container:: sphx-glr-download sphx-glr-download-zip

      :download:`Download zipped: plot_smooth.zip <plot_smooth.zip>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_