From d2f8b2978c09410b929687789629390cc88b46a7 Mon Sep 17 00:00:00 2001 From: Jean-Paul Pelteret Date: Fri, 20 Oct 2017 22:42:41 +0200 Subject: [PATCH] Documentation fixes for the Physics::Notation::Kelvin namespace. --- include/deal.II/physics/notation.h | 22 +++++++++++----------- 1 file changed, 11 insertions(+), 11 deletions(-) diff --git a/include/deal.II/physics/notation.h b/include/deal.II/physics/notation.h index 8cfc306ccc..7b79b2168e 100644 --- a/include/deal.II/physics/notation.h +++ b/include/deal.II/physics/notation.h @@ -46,13 +46,13 @@ namespace Physics * S_{00} & S_{01} & S_{02} \\ * S_{10} = S_{01} & S_{11} & S_{12} \\ * S_{20} = S_{02} & S_{21} = S_{12} & S_{22} - * \end{array}\right] + * \end{array} \right] * \quad \Rightarrow \quad * \left[ \begin{array}{ccc} * n = 0 & n = 5 & n = 4 \\ * sym & n = 1 & n = 3 \\ - * sym & sym & n = 2} - * \end{array}\right] , + * sym & sym & n = 2 + * \end{array} \right] , * @f] * where $n$ denotes the Kelvin index for the tensor component, * while for a general rank-2 tensor $\mathbf{T}$ @@ -66,18 +66,18 @@ namespace Physics * \left[ \begin{array}{ccc} * n = 0 & n = 5 & n = 4 \\ * n = 6 & n = 1 & n = 3 \\ - * n = 7 & n = 8 & n = 2} + * n = 7 & n = 8 & n = 2 * \end{array}\right] , * @f] * and for a rank-1 tensor $\mathbf{v}$ * @f[ - * \mathbf{v} := \left[ \begin{array}{ccc} - * v_{0} & v_{1} & v_{2} - * \end{array}\right]^{T} + * \mathbf{v} := \left[ \begin{array}{c} + * v_{0} \\ v_{1} \\ v_{2} + * \end{array}\right] * \quad \Rightarrow \quad - * \left[ \begin{array}{ccc} - * n = 0 & n = 1 & n = 2 - * \end{array}\right]^{T} . + * \left[ \begin{array}{c} + * n = 0 \\ n = 1 \\ n = 2 + * \end{array}\right] . * @f] * To summarize, the relationship between tensor and Kelvin indices for both * the three-dimensional case and the analogously discerned two-dimensional @@ -173,7 +173,7 @@ namespace Physics * @f[ * \mathbf{S} = \cal{C} : \mathbf{E} * \quad \Rightarrow \quad - * \tilde{\mathbf{S}} = \tilde{\cal{C}} \tilde{\mathbf{E}} + * \tilde{\mathbf{S}} = \tilde{\cal{C}} \; \tilde{\mathbf{E}} * @f] * and * @f[ -- 2.39.5