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Corrected a mistake in the doc about the ocean basis functions for VDDG
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jodemaey committed Dec 9, 2022
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14 changes: 7 additions & 7 deletions documentation/source/files/model/maooam_model.rst
Original file line number Diff line number Diff line change
Expand Up @@ -122,18 +122,18 @@ expansion, we number the basis functions along increasing values of :math:`H_{\r
It allows to write the set as :math:`\left\{ \phi_i(x,y); 1 \leq i \leq n_\text{o}\right\}` where :math:`n_{\mathrm{o}}`
(:attr:`~.params.QgParams.nmod` [1]) is the number of modes of the spectral expansion in the ocean.

For example, the model derived in :cite:`mao-VDDG2015` can be specified by setting :math:`H_{\rm o} \in \{1,4\}`; :math:`P_{\rm o} \in \{1,2\}` and the set of basis functions is
For example, the model derived in :cite:`mao-VDDG2015` can be specified by setting :math:`H_{\rm o} \in \{1,2\}`; :math:`P_{\rm o} \in \{1,4\}` and the set of basis functions is

.. math::
\phi_1(x,y) & = & 2\, \sin(\frac{n}{2} x)\, \sin(y), \nonumber \\
\phi_2(x,y) & = & 2\, \sin(n x)\, \sin(y), \nonumber \\
\phi_3(x,y) & = & 2\, \sin(\frac{3 n}{2} x)\, \sin(y), \nonumber \\
\phi_4(x,y) & = & 2\, \sin(2 n x)\, \sin(y), \nonumber \\
\phi_5(x,y) & = & 2\, \sin(\frac{n}{2} x)\, \sin(2 y), \nonumber \\
\phi_2(x,y) & = & 2\, \sin(\frac{n}{2} x)\, \sin(2 y), \nonumber \\
\phi_3(x,y) & = & 2\, \sin(\frac{n}{2} x)\, \sin(3 y), \nonumber \\
\phi_4(x,y) & = & 2\, \sin(\frac{n}{2} x)\, \sin(4 y), \nonumber \\
\phi_5(x,y) & = & 2\, \sin(n x)\, \sin(y), \nonumber \\
\phi_6(x,y) & = & 2\, \sin(n x)\, \sin(2 y), \nonumber \\
\phi_7(x,y) & = & 2\, \sin(\frac{3 n}{2} x)\, \sin(2 y), \nonumber \\
\phi_8(x,y) & = & 2\, \sin(2 n x)\, \sin(2 y), \nonumber
\phi_7(x,y) & = & 2\, \sin(n x)\, \sin(3 y), \nonumber \\
\phi_8(x,y) & = & 2\, \sin(n x)\, \sin(4 y), \nonumber
such that

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