Commit c9e93a97 authored by Cristian Lalescu's avatar Cristian Lalescu
Browse files

fix eqnarray

parent a252b5e3
......@@ -433,25 +433,38 @@ int kspace<be, dt>::filter(
* a Gaussian filter and a sharp real space spherical filter.
*
* Filter expressions in real space are as follows:
* \begin{eqnarray*}
* \phi^b_\ell(r) &=&
* \frac{1}{\ell^3}\frac{6}{\pi} H(\ell/2 - r) \\
* \phi^g_\ell(r) &=&
* \frac{1}{\sigma_\ell^3}\frac{1}{(2\pi)^{3/2}}
* \exp\left(-\frac{1}{2}\left(\frac{r}{\sigma_\ell}\right)^2\right) \\
* \phi^s_\ell(r) &=&
* \frac{1}{2 \pi^2 r^3}
* \left(\sin k_\ell r - k_\ell r \cos k_\ell r\right)
* \end{eqnarray*}
* \rst
* .. math::
* :nowrap:
*
* \begin{eqnarray*}
* \phi^b_\ell(r) &=&
* \frac{1}{\ell^3}\frac{6}{\pi} H(\ell/2 - r) \\
* \phi^g_\ell(r) &=&
* \frac{1}{\sigma_\ell^3}\frac{1}{(2\pi)^{3/2}}
* \exp\left(-\frac{1}{2}\left(\frac{r}{\sigma_\ell}\right)^2\right) \\
* \phi^s_\ell(r) &=&
* \frac{1}{2 \pi^2 r^3}
* \left(\sin k_\ell r - k_\ell r \cos k_\ell r\right)
* \end{eqnarray*}
*
* \endrst
*
* and the corresponding expressions in Fourier space are:
* \begin{eqnarray*}
* \hat{\phi^b_\ell}(k) &=&
* \frac{3}{2(k\ell/2)^3}
* \left(2\sin (k \ell/2) - k \ell \cos (k \ell/2)\right) \\
* \hat{\phi^g_\ell}(k) &=&
* \exp\left(-\frac{1}{2}k^2 \sigma_\ell^2\right) \\
* \hat{\phi^s_\ell}(k) &=& H(k_\ell - k)
* \end{eqnarray*}
* \rst
* .. math::
* :nowrap:
*
* \begin{eqnarray*}
* \hat{\phi^b_\ell}(k) &=&
* \frac{3}{2(k\ell/2)^3}
* \left(2\sin (k \ell/2) - k \ell \cos (k \ell/2)\right) \\
* \hat{\phi^g_\ell}(k) &=&
* \exp\left(-\frac{1}{2}k^2 \sigma_\ell^2\right) \\
* \hat{\phi^s_\ell}(k) &=& H(k_\ell - k)
* \end{eqnarray*}
*
* \endrst
*
* \f$\sigma_\ell\f$ and \f$k_\ell\f$ are calibrated such that the energy of
* the large scales is approximately the same (within the inertial range)
......
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