From d3529c2f766c55e8c448b8a4005a8052bc90bc94 Mon Sep 17 00:00:00 2001 From: alberto sartori Date: Mon, 29 Feb 2016 15:38:44 +0100 Subject: [PATCH] fix some typos [ci skip] --- include/deal.II/grid/manifold.h | 18 +++++++++--------- 1 file changed, 9 insertions(+), 9 deletions(-) diff --git a/include/deal.II/grid/manifold.h b/include/deal.II/grid/manifold.h index e664042ed5..6018d0a039 100644 --- a/include/deal.II/grid/manifold.h +++ b/include/deal.II/grid/manifold.h @@ -65,7 +65,7 @@ namespace Manifolds *

Common use case: Creating a new vertex

* * In the most essential use of manifolds, manifold descriptions are used - * to create a "point between other points. For example, when a triangulation + * to create a "point between other points". For example, when a triangulation * creates a new vertex on a cell, face, or edge , it determines the new * vertex' coordinates through the following function call: * @code @@ -82,9 +82,9 @@ namespace Manifolds * new point. In the simplest case, for example in the FlatManifold class, the * function simply computes the arithmetic average (with given weights) of * the given points. However, other classes do something differently; for example, - * the SphericalManifold class used to describe domains that form (part of) the - * sphere, will ensure that if it is given the two vertices of an edge at - * the boundary, the new point returned will lie on the grand circle that connects + * the SphericalManifold class, which is used to describe domains that form (part of) the + * sphere, will ensure that, given the two vertices of an edge at + * the boundary, the new returned point will lie on the grand circle that connects * the two points, rather than choosing a point that is half-way between the * two points in ${\mathbb R}^d$. * @@ -173,7 +173,7 @@ namespace Manifolds * uses time, not arc length to denote progress along the geodesic. * * In this picture, computing a mid-point between points $\mathbf x_1$ - * and $\mathbf x_2$ with weights $w_1$ and $w_2=1-w_1$ then simply + * and $\mathbf x_2$, with weights $w_1$ and $w_2=1-w_1$, simply * requires computing the point $\mathbf s(w_1)$. Computing a new * point as a weighted average of more than two points can be done * by considering pairwise geodetics, finding suitable points on @@ -267,7 +267,7 @@ public: * Manifolds::get_default_quadrature() function, and then calls the * Manifold::get_new_point() function. User derived classes * can overload Manifold::get_new_point() or - * Manifold::project_to_surface(), which is called by the + * Manifold::project_to_manifold(), which is called by the * default implementation of Manifold::get_new_point(). */ virtual @@ -288,7 +288,7 @@ public: * Manifolds::get_default_quadrature() function, and then calls the * Manifold::get_new_point() function. User derived classes * can overload Manifold::get_new_point() or - * Manifold::project_to_surface(), which is called by the + * Manifold::project_to_manifold(), which is called by the * default implementation of Manifold::get_new_point(). */ virtual @@ -310,7 +310,7 @@ public: * Manifolds::get_default_quadrature() function, and then calls the * Manifold::get_new_point() function. User derived classes * can overload Manifold::get_new_point() or - * Manifold::project_to_surface(), which is called by the + * Manifold::project_to_manifold(), which is called by the * default implementation of Manifold::get_new_point(). */ virtual @@ -371,7 +371,7 @@ public: * $\mathbf s'(0) \approx \frac{$\mathbf s(\epsilon)-\mathbf x_1}{\epsilon}$ * for a small value of $\epsilon$, and the evaluation of $\mathbf s(\epsilon)$ * is done by calling get_new_point(). If possible, derived classes should - * override this function by an implement of the exact derivative. + * override this function by an implemention of the exact derivative. * * @param x1 The first point that describes the geodesic, and the one * at which the "direction" is to be evaluated. -- 2.39.5