From 1bfef6846f492a1f42d6eabc15c228eec3de6cfe Mon Sep 17 00:00:00 2001 From: Clement Jamin Date: Wed, 9 Mar 2016 16:18:56 +0100 Subject: [PATCH] Typos & small changes --- Triangulation/doc/Triangulation/Triangulation.txt | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/Triangulation/doc/Triangulation/Triangulation.txt b/Triangulation/doc/Triangulation/Triangulation.txt index f5a5fbfb4d3..e7e21cf875b 100644 --- a/Triangulation/doc/Triangulation/Triangulation.txt +++ b/Triangulation/doc/Triangulation/Triangulation.txt @@ -58,7 +58,7 @@ entry for more about simplicial complexes. ## What's in this Package? ## -This \cgal package provides three main classes +This \cgal package provides four main classes for creating and manipulating triangulations. The class `CGAL::Triangulation_data_structure` @@ -115,11 +115,10 @@ which \cgal provides one model class: A `TriangulationDataStructure` can represent an abstract pure complex such that any facet is incident to exactly two full cells. -A `TriangulationDataStructure` has a -maximal dimension which is a +A `TriangulationDataStructure` has a maximal dimension which is a positive integer equal to the maximum dimension a full cell can have. This maximal dimension can be chosen by the user at the creation of a -TriangulationDataStructure` and can then be queried using the method `tds.maximal_dimension()`. +`TriangulationDataStructure` and can then be queried using the method `tds.maximal_dimension()`. A `TriangulationDataStructure` also knows the current dimension of its full cells, which can be queried with `tds.current_dimension()`. In the sequel, let us denote the maximal dimension with \f$ D \f$ and the current dimension with \f$ d \f$. @@ -241,7 +240,8 @@ some nested types in `TriangulationDataStructure`. The default values are `CGAL::Triangulation_ds_vertex` and `CGAL::Triangulation_ds_full_cell` -where `TDS` is the current class `Triangulation_data_structure` +where `TDS` is the current class +`Triangulation_data_structure`. This creates a circular dependency, which we resolve in the same way as in the \cgal `Triangulation_2` and `Triangulation_3` packages (see Chapters \ref Chapter_2D_Triangulation_Data_Structure, \ref Chapter_2D_Triangulations, @@ -463,7 +463,7 @@ Let \f$ {S}^{(w)}\f$ be a set of weighted points in \f$ \mathbb{R}^D\f$. Let \f$ {p}^{(w)}=(p,w_p), p\in\mathbb{R}^D, w_p\in\mathbb{R}\f$ and \f$ {z}^{(w)}=(z,w_z), z\in\mathbb{R}^D, w_z\in\mathbb{R}\f$ be two weighted points. -A weighted point +If all weights are positive, a weighted point \f$ {p}^{(w)}=(p,w_p)\f$ can also be seen as a sphere of center \f$ p\f$ and radius \f$ \sqrt{w_p}\f$. The power product (or power distance )