Library Algebra.AffineSpace.AffineSpace
This file is part of the Coq Numerical Analysis library
Copyright (C) Boldo, Clément, Martin, Mayero, Mouhcine
This library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 3 of the License, or (at your option) any later version.
This library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
COPYING file for more details.
Exports support for affine spaces.
It is based on the hierarchy of algebraic structures provided by the
Coquelicot library.
Provides:
This module is meant to be imported after all imports from the Coq standard
library, from the Mathematical Components library, and from other external Coq
libraries such as Coquelicot and Flocq.
This module may be used through the import of Algebra.Algebra, or
Algebra.Algebra_wDep, where it is exported.
Brief description
Description
- canonical structures for the affine space algebraic structure;
- operators for finite families on affine spaces;
- support for affine combinations and barycenters;
- support for affine mapping (aka affine space morphisms);
- support for affine subspaces.
Usage
From Algebra Require Export AffineSpace_def AffineSpace_FF.
From Algebra Require Export AffineSpace_baryc AffineSpace_aff_map.
From Algebra Require Export AffineSpace_sub.