From: bangerth Date: Wed, 15 Feb 2012 17:54:54 +0000 (+0000) Subject: Minor doc update. X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=b3439615747b30fbf0ff0bd1a9dbb295391b1df7;p=dealii-svn.git Minor doc update. git-svn-id: https://svn.dealii.org/trunk@25088 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/deal.II/include/deal.II/base/symmetric_tensor.h b/deal.II/include/deal.II/base/symmetric_tensor.h index 0e92ba9106..4f0f0bffdc 100644 --- a/deal.II/include/deal.II/base/symmetric_tensor.h +++ b/deal.II/include/deal.II/base/symmetric_tensor.h @@ -1,7 +1,7 @@ //--------------------------------------------------------------------------- // $Id$ // -// Copyright (C) 2005, 2006, 2008, 2009, 2010, 2011 by the deal.II authors +// Copyright (C) 2005, 2006, 2008, 2009, 2010, 2011, 2012 by the deal.II authors // // This file is subject to QPL and may not be distributed // without copyright and license information. Please refer @@ -2326,7 +2326,7 @@ unit_symmetric_tensor () /** * Return the tensor of rank 4 that, when multiplied by a symmetric rank 2 - * tensor t returns the deviator dev t. It is the operator + * tensor t returns the deviator $\textrm{dev}\ t$. It is the operator * representation of the linear deviator operator. * * For every tensor t, there holds the identity @@ -2391,7 +2391,7 @@ deviator_tensor () /** * Returns the fourth-order symmetric identity tensor which maps symmetric - * second-order tensors to themselves. + * second-order tensors to themselves. * * Note that this tensor, even though it is the identity, has a somewhat funny * form, and in particular does not only consist of zeros and ones. For @@ -2399,7 +2399,7 @@ deviator_tensor () * except for id[0][0][0][0]=id[1][1][1][1]=1 and * id[0][1][0][1]=id[0][1][1][0]=id[1][0][0][1]=id[1][0][1][0]=1/2. To * see why this factor of 1/2 is necessary, consider computing A=Id - * . B. For the element a_01 we have a_01=id_0100 b_00 + + * : B. For the element a_01 we have a_01=id_0100 b_00 + * id_0111 b_11 + id_0101 b_01 + id_0110 b_10. On the other hand, we need * to have a_01=b_01, and symmetry implies b_01=b_10, * leading to a_01=(id_0101+id_0110) b_01, or, again by symmetry,