Typos & small changes

This commit is contained in:
Clement Jamin 2016-03-09 16:18:56 +01:00
parent fc3034aa64
commit 1bfef6846f
1 changed files with 6 additions and 6 deletions

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@ -58,7 +58,7 @@ entry</A> 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<Dimensionality, TriangulationDSVertex, TriangulationDSFullCell>`
@ -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 <!--- property called the --->
<I>maximal dimension</I> which is a
A `TriangulationDataStructure` has a <I>maximal dimension</I> 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 <I>current dimension</I> 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$.
@ -241,7 +240,8 @@ some nested types in `TriangulationDataStructure`.
The default values are `CGAL::Triangulation_ds_vertex<TDS>`
and `CGAL::Triangulation_ds_full_cell<TDS>`
where `TDS` is the current class `Triangulation_data_structure<Dimensionality, TriangulationDSVertex, TriangulationDSFullCell>`
where `TDS` is the current class
`Triangulation_data_structure<Dimensionality, TriangulationDSVertex, TriangulationDSFullCell>`.
<I>This creates a circular dependency</I>, which we resolve in the same way
as in the \cgal `Triangulation_2` and `Triangulation_3` packages (see
Chapters \ref Chapter_2D_Triangulation_Data_Structure, \ref Chapter_2D_Triangulations,
@ -463,7 +463,7 @@ Let \f$ {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 <I>power product</I> (or <I>power distance</I> )