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//# LinearEquation.h: this defines LinearEquation
//# Copyright (C) 1996,1997,1999,2000
//# Associated Universities, Inc. Washington DC, USA.
//#
//# This library is free software; you can redistribute it and/or modify it
//# under the terms of the GNU Library General Public License as published by
//# the Free Software Foundation; either version 2 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 GNU Library General Public
//# License for more details.
//#
//# You should have received a copy of the GNU Library General Public License
//# along with this library; if not, write to the Free Software Foundation,
//# Inc., 675 Massachusetts Ave, Cambridge, MA 02139, USA.
//#
//# Correspondence concerning AIPS++ should be addressed as follows:
//# Internet email: aips2-request@nrao.edu.
//# Postal address: AIPS++ Project Office
//# National Radio Astronomy Observatory
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//#
//#
//# $Id$
namespace casa { //# NAMESPACE CASA - BEGIN
// <summary> defines a relationship between Domain and Range objects </summary>
// <use visibility=export>
// <reviewed reviewer="" date="yyyy/mm/dd" tests="" demos="">
// </reviewed>
// <prerequisite>
// This class should be read in conjunction with:
// <li> <linkto class="LinearModel">LinearModel</linkto>
// <li> <linkto class="ResidualEquation">ResidualEquation</linkto>
// </prerequisite>
//
// <etymology>
// LinearEquation was originally conceived for implementing linear
// equations (like Ax=b) but was in hindsight found to be more general.
// </etymology>
//
// <synopsis>
// This abstract class defines the basic functions used for forward
// modelling of measured data of "Range" data type. It defines the
// functions used to transform a model, of "Domain" data type to predicted
// data. It can also compare the predicted data with the measured data and
// return residuals to classes derived from LinearModel which can then be
// used to update the model.
// </synopsis>
//
// <example>
// I'll pass this class into a subroutine as an actual instance of an
// abstract class cannot be constructed.
// <srcblock>
// void foo(LinearModel< Image<casacore::Float> > mod,
// LinearEquation<Image<casacore::Float>, VisibilitySet>)
// VisibilitySet predictedVisibility;
// eqn.evaluate(predictedVisibility, mod);
// </srcblock>
// </example>
//
// <motivation>
// This class was originally conceived to be used in implementing
// deconvolution algorithms. I would not be surprised if it found wider
// applicability.
// </motivation>
//
// <templating arg=Domain>
// I do not see any restrictions on the Domain class. Its up to the derived
// class to handle the the appropriate Domain.
// </templating>
// <templating arg=Range>
// In order to calculate residuals it will probably be necessary for
// subtraction to be defined on the Range class, as well as some way for
// data in the Range data type to be converted back into the Domain data