From c7f94235641245ed4a0a0dea1bb384d118dec387 Mon Sep 17 00:00:00 2001 From: guido Date: Fri, 28 Nov 2003 10:44:49 +0000 Subject: [PATCH] fix formulas git-svn-id: https://svn.dealii.org/trunk@8202 0785d39b-7218-0410-832d-ea1e28bc413d --- deal.II/base/include/base/function_lib.h | 26 ++++++++++++++---------- 1 file changed, 15 insertions(+), 11 deletions(-) diff --git a/deal.II/base/include/base/function_lib.h b/deal.II/base/include/base/function_lib.h index 46dfc95e0a..bb78b1f4b3 100644 --- a/deal.II/base/include/base/function_lib.h +++ b/deal.II/base/include/base/function_lib.h @@ -587,9 +587,9 @@ namespace Functions /** * Given a wavenumber vector generate a cosine function. The - * wavenumber coefficient is given as a @p{d}-dimensional point @p{k} - * in Fourier space, and the function is then recovered as @p{f(x) = - * cos(\sum_i k_i x_i) = Re(\exp(i k.x))}. + * wavenumber coefficient is given as a $d$-dimensional point $k$ + * in Fourier space, and the function is then recovered as $f(x) = + * \cos(\sum_i k_i x_i) = Re(\exp(i k.x))$. * * The class has its name from the fact that it resembles one * component of a Fourier cosine decomposition. @@ -646,9 +646,9 @@ namespace Functions /** * Given a wavenumber vector generate a sine function. The - * wavenumber coefficient is given as a @p{d}-dimensional point @p{k} - * in Fourier space, and the function is then recovered as @p{f(x) = - * sin(\sum_i k_i x_i) = Im(\exp(i k.x))}. + * wavenumber coefficient is given as a $d$-dimensional point $k$ + * in Fourier space, and the function is then recovered as $f(x) = + * \sin(\sum_i k_i x_i) = Im(\exp(i k.x))$. * * The class has its name from the fact that it resembles one * component of a Fourier sine decomposition. @@ -705,9 +705,9 @@ namespace Functions /** * Given a sequence of wavenumber vectors and weights generate a sum * of sine functions. Each wavenumber coefficient is given as a - * @p{d}-dimensional point @p{k} in Fourier space, and the entire + * $d$-dimensional point $k$ in Fourier space, and the entire * function is then recovered as - * @p{f(x) = \sum_j w_j sin(\sum_i k_i x_i) = Im(\sum_j w_j \exp(i k.x))}. + * $f(x) = \sum_j w_j sin(\sum_i k_i x_i) = Im(\sum_j w_j \exp(i k.x))$. * * @author Wolfgang Bangerth, 2001 */ @@ -771,9 +771,9 @@ namespace Functions /** * Given a sequence of wavenumber vectors and weights generate a sum * of cosine functions. Each wavenumber coefficient is given as a - * @p{d}-dimensional point @p{k} in Fourier space, and the entire + * $d$-dimensional point $k$ in Fourier space, and the entire * function is then recovered as - * @p{f(x) = \sum_j w_j cos(\sum_i k_i x_i) = Re(\sum_j w_j \exp(i k.x))}. + * $f(x) = \sum_j w_j cos(\sum_i k_i x_i) = Re(\sum_j w_j \exp(i k.x))$. * * @author Wolfgang Bangerth, 2001 */ @@ -905,7 +905,11 @@ namespace Functions /** * Cut-off function in L-infinity for an arbitrary ball. This * function is the characteristic function of a ball around @p{center} - * with a specified @p{radius}. If vector valued, it can be restricted + * with a specified @p{radius}, that is, + * \f[ + * f = \chi(B_r(c)). + * \f] + * If vector valued, it can be restricted * to a single component. * * @author Guido Kanschat, 2001, 2002 -- 2.39.5