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Commit c9e93a97 authored by Cristian Lalescu's avatar Cristian Lalescu
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fix eqnarray

parent a252b5e3
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...@@ -433,6 +433,10 @@ int kspace<be, dt>::filter( ...@@ -433,6 +433,10 @@ int kspace<be, dt>::filter(
* a Gaussian filter and a sharp real space spherical filter. * a Gaussian filter and a sharp real space spherical filter.
* *
* Filter expressions in real space are as follows: * Filter expressions in real space are as follows:
* \rst
* .. math::
* :nowrap:
*
* \begin{eqnarray*} * \begin{eqnarray*}
* \phi^b_\ell(r) &=& * \phi^b_\ell(r) &=&
* \frac{1}{\ell^3}\frac{6}{\pi} H(\ell/2 - r) \\ * \frac{1}{\ell^3}\frac{6}{\pi} H(\ell/2 - r) \\
...@@ -443,7 +447,14 @@ int kspace<be, dt>::filter( ...@@ -443,7 +447,14 @@ int kspace<be, dt>::filter(
* \frac{1}{2 \pi^2 r^3} * \frac{1}{2 \pi^2 r^3}
* \left(\sin k_\ell r - k_\ell r \cos k_\ell r\right) * \left(\sin k_\ell r - k_\ell r \cos k_\ell r\right)
* \end{eqnarray*} * \end{eqnarray*}
*
* \endrst
*
* and the corresponding expressions in Fourier space are: * and the corresponding expressions in Fourier space are:
* \rst
* .. math::
* :nowrap:
*
* \begin{eqnarray*} * \begin{eqnarray*}
* \hat{\phi^b_\ell}(k) &=& * \hat{\phi^b_\ell}(k) &=&
* \frac{3}{2(k\ell/2)^3} * \frac{3}{2(k\ell/2)^3}
...@@ -453,6 +464,8 @@ int kspace<be, dt>::filter( ...@@ -453,6 +464,8 @@ int kspace<be, dt>::filter(
* \hat{\phi^s_\ell}(k) &=& H(k_\ell - k) * \hat{\phi^s_\ell}(k) &=& H(k_\ell - k)
* \end{eqnarray*} * \end{eqnarray*}
* *
* \endrst
*
* \f$\sigma_\ell\f$ and \f$k_\ell\f$ are calibrated such that the energy of * \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) * the large scales is approximately the same (within the inertial range)
* independently of the shape of the filter. * independently of the shape of the filter.
......
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