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+Apache Commons Math includes the following code provided to the ASF under the
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+ - The inverse error function implementation in the Erf class is based on CUDA
+ code developed by Mike Giles, Oxford-Man Institute of Quantitative Finance,
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+ the following copyright: Copyright 2009 Google Inc. (grant received on
+ March 16th 2009)
+ - The class "org.apache.commons.math3.exception.util.LocalizedFormatsTest" which
+ is an adapted version of "OrekitMessagesTest" test class for the Orekit library
+ - The "org.apache.commons.math3.analysis.interpolation.HermiteInterpolator"
+ has been imported from the Orekit space flight dynamics library.
+
+===============================================================================
+
+
+
+APACHE COMMONS MATH DERIVATIVE WORKS:
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+The Apache commons-math library includes a number of subcomponents
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+===============================================================================
+For the lmder, lmpar and qrsolv Fortran routine from minpack and translated in
+the LevenbergMarquardtOptimizer class in package
+org.apache.commons.math3.optimization.general
+Original source copyright and license statement:
+
+Minpack Copyright Notice (1999) University of Chicago. All rights reserved
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+===============================================================================
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+Copyright and license statement for the odex Fortran routine developed by
+E. Hairer and G. Wanner and translated in GraggBulirschStoerIntegrator class
+in package org.apache.commons.math3.ode.nonstiff:
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+Copyright (c) 2004, Ernst Hairer
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
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+- Redistributions of source code must retain the above copyright
+notice, this list of conditions and the following disclaimer.
+
+- Redistributions in binary form must reproduce the above copyright
+notice, this list of conditions and the following disclaimer in the
+documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
+IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
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+NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+===============================================================================
+
+Copyright and license statement for the original Mersenne twister C
+routines translated in MersenneTwister class in package
+org.apache.commons.math3.random:
+
+ Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura,
+ All rights reserved.
+
+ Redistribution and use in source and binary forms, with or without
+ modification, are permitted provided that the following conditions
+ are met:
+
+ 1. Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+
+ 2. Redistributions in binary form must reproduce the above copyright
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+ documentation and/or other materials provided with the distribution.
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+ 3. The names of its contributors may not be used to endorse or promote
+ products derived from this software without specific prior written
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+
+ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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+ CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
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+ LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+===============================================================================
+
+The initial code for shuffling an array (originally in class
+"org.apache.commons.math3.random.RandomDataGenerator", now replaced by
+a method in class "org.apache.commons.math3.util.MathArrays") was
+inspired from the algorithm description provided in
+"Algorithms", by Ian Craw and John Pulham (University of Aberdeen 1999).
+The textbook (containing a proof that the shuffle is uniformly random) is
+available here:
+ http://citeseerx.ist.psu.edu/viewdoc/download;?doi=10.1.1.173.1898&rep=rep1&type=pdf
+
+===============================================================================
+License statement for the direction numbers in the resource files for Sobol sequences.
+
+-----------------------------------------------------------------------------
+Licence pertaining to sobol.cc and the accompanying sets of direction numbers
+
+-----------------------------------------------------------------------------
+Copyright (c) 2008, Frances Y. Kuo and Stephen Joe
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+ * Neither the names of the copyright holders nor the names of the
+ University of New South Wales and the University of Waikato
+ and its contributors may be used to endorse or promote products derived
+ from this software without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
+EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDERS BE LIABLE FOR ANY
+DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
+ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+===============================================================================
+
+The initial commit of package "org.apache.commons.math3.ml.neuralnet" is
+an adapted version of code developed in the context of the Data Processing
+and Analysis Consortium (DPAC) of the "Gaia" project of the European Space
+Agency (ESA).
+===============================================================================
+
+The initial commit of the class "org.apache.commons.math3.special.BesselJ" is
+an adapted version of code translated from the netlib Fortran program, rjbesl
+http://www.netlib.org/specfun/rjbesl by R.J. Cody at Argonne National
+Laboratory (USA). There is no license or copyright statement included with the
+original Fortran sources.
+===============================================================================
+
+
+The BracketFinder (package org.apache.commons.math3.optimization.univariate)
+and PowellOptimizer (package org.apache.commons.math3.optimization.general)
+classes are based on the Python code in module "optimize.py" (version 0.5)
+developed by Travis E. Oliphant for the SciPy library (http://www.scipy.org/)
+Copyright © 2003-2009 SciPy Developers.
+
+SciPy license
+Copyright © 2001, 2002 Enthought, Inc.
+All rights reserved.
+
+Copyright © 2003-2013 SciPy Developers.
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+ * Neither the name of Enthought nor the names of the SciPy Developers may
+ be used to endorse or promote products derived from this software without
+ specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS “AS IS” AND ANY
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+DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
+ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+===============================================================================
+