From: guido Date: Fri, 28 Nov 2003 11:12:24 +0000 (+0000) Subject: formulas improved and missing $ added X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=89cb39e1e78bb6cef54a54dc0a4d8a24f3339dbf;p=dealii-svn.git formulas improved and missing $ added git-svn-id: https://svn.dealii.org/trunk@8203 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/deal.II/base/include/base/tensor_product_polynomials.h b/deal.II/base/include/base/tensor_product_polynomials.h index f705c7a93c..8ffe0de537 100644 --- a/deal.II/base/include/base/tensor_product_polynomials.h +++ b/deal.II/base/include/base/tensor_product_polynomials.h @@ -26,18 +26,18 @@ /** * Tensor product of given polynomials. * - * Given a vector of @p{n} one-dimensional polynomials @p{P1} to @p{Pn}, - * this class generates @p{n} to the power of @p{dim} polynomials of - * the form @p{ Qijk(x,y,z) = Pi(x)Pj(y)Pk(z)}. If the base + * Given a vector of $n$ one-dimensional polynomials $P_1$ to $P_n$, + * this class generates $n$ to the power of @p{dim} polynomials of + * the form $Q_{ijk}(x,y,z) = P_i(x)P_j(y)P_k(z)$. If the base * polynomials are mutually orthogonal on the interval $[-1,1]$ or - * $[0,d], then the tensor product polynomials are orthogonal on + * $[0,d]$, then the tensor product polynomials are orthogonal on * $[-1,1]^d$ or $[0,1]^d$, respectively. * * Indexing is as follows: the order of dim-dimensional polynomials * is x-coordinates running fastest, then y-coordinate, etc. The first - * few polynomials are thus @p{P1(x)P1(y)}, @p{P2(x)P1(y)}, - * @p{P3(x)P1(y)}, ..., @p{P1(x)P2(y)}, @p{P2(x)P2(y)}, - * @p{P3(x)P2(y)}, ..., and likewise in 3d. + * few polynomials are thus $P_1(x)P_1(y), P_2(x)P_1(y), + * P_3(x)P_1(y), ..., P_1(x)P_2(y), P_2(x)P_2(y), + * P_3(x)P_2(y), ...$ and likewise in 3d. * * @author Ralf Hartmann, Guido Kanschat, 2000, Wolfgang Bangerth 2003 */ @@ -230,7 +230,7 @@ class TensorProductPolynomials * x-direction, @p{Py1}, @p{Py2}, ... in y-direction, and so on, this * class generates polynomials of the form @p{ Qijk(x,y,z) = * Pxi(x)Pyj(y)Pzk(z)}. If the base polynomials are mutually - * orthogonal on the interval $[-1,1]$ or $[0,d], then the tensor + * orthogonal on the interval $[-1,1]$ or $[0,d]$, then the tensor * product polynomials are orthogonal on $[-1,1]^d$ or $[0,1]^d$, * respectively. *