.. DO NOT EDIT.
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.. "auto_examples/basis/plot_basis_2d.py"
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.. only:: html

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

        :ref:`Go to the end <sphx_glr_download_auto_examples_basis_plot_basis_2d.py>`
        to download the full example code.

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

.. _sphx_glr_auto_examples_basis_plot_basis_2d.py:


Two-dimensional Basis
=====================

.. GENERATED FROM PYTHON SOURCE LINES 6-17

.. code-block:: Python


    # Author: Steven Golovkine <steven_golovkine@icloud.com>
    # License: MIT

    # Load packages
    import numpy as np

    from FDApy.representation import Basis
    from FDApy.representation import DenseArgvals
    from FDApy.visualization import plot








.. GENERATED FROM PYTHON SOURCE LINES 18-19

It is possible to define multi-dimensional basis functions using the :class:`~FDApy.representation.Basis` object. Multidimensional basis functions are defined as a tensor product of unidimensional basis. To create a multidimensional basis functions, we need a tuple of names and a tuple of number of functions. The sampling points are defined as a :class:`~FDApy.representation.DenseArgvals` object where each entry corresponds to the sampling points of one input dimension.

.. GENERATED FROM PYTHON SOURCE LINES 19-27

.. code-block:: Python


    # Parameters
    name = ("fourier", "fourier")
    n_functions = (5, 5)
    argvals = DenseArgvals(
        {"input_dim_0": np.linspace(0, 1, 101), "input_dim_1": np.linspace(0, 1, 51)}
    )








.. GENERATED FROM PYTHON SOURCE LINES 28-29

Here, we show the basis functions for the tensor product of two Fourier basis. The basis functions consist of the tensor product of sine and cosine functions with a frequency that increases with the number of the function.

.. GENERATED FROM PYTHON SOURCE LINES 29-32

.. code-block:: Python

    basis = Basis(name=name, n_functions=n_functions, argvals=argvals)

    _ = plot(basis)



.. image-sg:: /auto_examples/basis/images/sphx_glr_plot_basis_2d_001.png
   :alt: plot basis 2d
   :srcset: /auto_examples/basis/images/sphx_glr_plot_basis_2d_001.png
   :class: sphx-glr-single-img






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   **Total running time of the script:** (0 minutes 2.155 seconds)


.. _sphx_glr_download_auto_examples_basis_plot_basis_2d.py:

.. only:: html

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