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====
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====
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--
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notices and license terms. Your use of the source code for the these
subcomponents is subject to the terms and conditions of the following
licenses.

For the org.apache.hadoop.util.bloom.* classes:

/**
 *
 * Copyright (c) 2005, European Commission project OneLab under contract
 * 034819 (http://www.one-lab.org)
 * 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 the University Catholique de Louvain - UCL
 *    nor the names of 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 AND CONTRIBUTORS
 * "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 OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
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 * 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.
 */
----
APACHE COMMONS MATH DERIVATIVE WORKS:

The Apache commons-math library includes a number of subcomponents
whose implementation is derived from original sources written
in C or Fortran.  License terms of the original sources
are reproduced below.

===============================================================================
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

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 notice, this list of conditions and the following
disclaimer in the documentation and/or other materials
provided with the distribution.

3. The end-user documentation included with the
redistribution, if any, must include the following
acknowledgment:

   "This product includes software developed by the
   University of Chicago, as Operator of Argonne National
   Laboratory.

Alternately, this acknowledgment may appear in the software
itself, if and wherever such third-party acknowledgments
normally appear.

4. WARRANTY DISCLAIMER. THE SOFTWARE IS SUPPLIED "AS IS"
WITHOUT WARRANTY OF ANY KIND. THE COPYRIGHT HOLDER, THE
UNITED STATES, THE UNITED STATES DEPARTMENT OF ENERGY, AND
THEIR EMPLOYEES: (1) DISCLAIM ANY WARRANTIES, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO ANY IMPLIED WARRANTIES
OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE, TITLE
OR NON-INFRINGEMENT, (2) DO NOT ASSUME ANY LEGAL LIABILITY
OR RESPONSIBILITY FOR THE ACCURACY, COMPLETENESS, OR
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THE SOFTWARE WOULD NOT INFRINGE PRIVATELY OWNED RIGHTS, (4)
DO NOT WARRANT THAT THE SOFTWARE WILL FUNCTION
UNINTERRUPTED, THAT IT IS ERROR-FREE OR THAT ANY ERRORS WILL
BE CORRECTED.

5. LIMITATION OF LIABILITY. IN NO EVENT WILL THE COPYRIGHT
HOLDER, THE UNITED STATES, THE UNITED STATES DEPARTMENT OF
ENERGY, OR THEIR EMPLOYEES: BE LIABLE FOR ANY INDIRECT,
INCIDENTAL, CONSEQUENTIAL, SPECIAL OR PUNITIVE DAMAGES OF
ANY KIND OR NATURE, INCLUDING BUT NOT LIMITED TO LOSS OF
PROFITS OR LOSS OF DATA, FOR ANY REASON WHATSOEVER, WHETHER
SUCH LIABILITY IS ASSERTED ON THE BASIS OF CONTRACT, TORT
(INCLUDING NEGLIGENCE OR STRICT LIABILITY), OR OTHERWISE,
EVEN IF ANY OF SAID PARTIES HAS BEEN WARNED OF THE
POSSIBILITY OF SUCH LOSS OR DAMAGES.
===============================================================================

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:


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:

- 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
TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR
CONTRIBUTORS 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.
===============================================================================

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
        notice, this list of conditions and the following disclaimer in the
        documentation and/or other materials provided with the distribution.

     3. The names of its contributors may not 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 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 OWNER OR
   CONTRIBUTORS 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 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
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 REGENTS OR CONTRIBUTORS 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.
===============================================================================
====
This product includes the following works licensed under the MIT license:

  * JCodings, Copyright (c) 2008-2012 The JCodings Authors
  * Joni, Copyright (c) 2008-2014 The Joni Authors
  * SLF4J API Module, Copyright (c) 2004-2013 QOS.ch
  * SLF4J LOG4J-12 Binding, Copyright (c) 2004-2008 QOS.ch

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THE SOFTWARE.
====
This product includes the following works licensed under the BSD 3-Clause license:

  * ParaNamer Core, Copyright (c) 2006 Paul Hammant & ThoughtWorks Inc

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====
This product includes the following works licensed under the Eclipse Public License 1.0:

  * JUnit, Copyright (c) 2002-2017 JUnit. All Rights Reserved.

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         object code form. This patent license shall apply to the
         combination of the Contribution and the Program if, at the
         time the Contribution is added by the Contributor, such
         addition of the Contribution causes such combination to be
         covered by the Licensed Patents. The patent license shall not
         apply to any other combinations which include the
         Contribution. No hardware per se is licensed hereunder.

      c) Recipient understands that although each Contributor grants
         the licenses to its Contributions set forth herein, no
         assurances are provided by any Contributor that the Program
         does not infringe the patent or other intellectual property
         rights of any other entity. Each Contributor disclaims any
         liability to Recipient for claims brought by any other entity
         based on infringement of intellectual property rights or
         otherwise. As a condition to exercising the rights and
         licenses granted hereunder, each Recipient hereby assumes
         sole responsibility to secure any other intellectual property
         rights needed, if any. For example, if a third party patent
         license is required to allow Recipient to distribute the
         Program, it is Recipient's responsibility to acquire that
         license before distributing the Program.

      d) Each Contributor represents that to its knowledge it has
         sufficient copyright rights in its Contribution, if any, to
         grant the copyright license set forth in this Agreement.

  3. REQUIREMENTS

  A Contributor  may choose to  distribute the Program in  object code
  form under its own license agreement, provided that:

      a) it complies with the terms and conditions of this Agreement; and

      b) its license agreement:

          i) effectively disclaims on behalf of all Contributors all
             warranties and conditions, express and implied, including
             warranties or conditions of title and non-infringement,
             and implied warranties or conditions of merchantability
             and fitness for a particular purpose;

          ii) effectively excludes on behalf of all Contributors all
              liability for damages, including direct, indirect,
              special, incidental and consequential damages, such as
              lost profits;

          iii) states that any provisions which differ from this
               Agreement are offered by that Contributor alone and not
               by any other party; and

          iv) states that source code for the Program is available
              from such Contributor, and informs licensees how to
              obtain it in a reasonable manner on or through a medium
              customarily used for software exchange.

  When the Program is made available in source code form:

      a) it must be made available under this Agreement; and

      b) a copy of this Agreement must be included with each copy of
         the Program.

  Contributors may not remove or alter any copyright notices contained
  within the Program.

  Each Contributor must identify itself as the originator of its
  Contribution, if any, in a manner that reasonably allows subsequent
  Recipients to identify the originator of the Contribution.

  4. COMMERCIAL DISTRIBUTION

  Commercial distributors of software may accept certain
  responsibilities with respect to end users, business partners and
  the like. While this license is intended to facilitate the
  commercial use of the Program, the Contributor who includes the
  Program in a commercial product offering should do so in a manner
  which does not create potential liability for other Contributors.
  Therefore, if a Contributor includes the Program in a commercial
  product offering, such Contributor ("Commercial Contributor") hereby
  agrees to defend and indemnify every other Contributor ("Indemnified
  Contributor") against any losses, damages and costs (collectively
  "Losses") arising from claims, lawsuits and other legal actions
  brought by a third party against the Indemnified Contributor to the
  extent caused by the acts or omissions of such Commercial
  Contributor in connection with its distribution of the Program in a
  commercial product offering. The obligations in this section do not
  apply to any claims or Losses relating to any actual or alleged
  intellectual property infringement. In order to qualify, an
  Indemnified Contributor must: a) promptly notify the Commercial
  Contributor in writing of such claim, and b) allow the Commercial
  Contributor to control, and cooperate with the Commercial
  Contributor in, the defense and any related settlement negotiations.
  The Indemnified Contributor may participate in any such claim at its
  own expense.

  For example, a Contributor might include the Program in a commercial
  product offering, Product X. That Contributor is then a Commercial
  Contributor. If that Commercial Contributor then makes performance
  claims, or offers warranties related to Product X, those performance
  claims and warranties are such Commercial Contributor's
  responsibility alone. Under this section, the Commercial Contributor
  would have to defend claims against the other Contributors related
  to those performance claims and warranties, and if a court requires
  any other Contributor to pay any damages as a result, the Commercial
  Contributor must pay those damages.

  5. NO WARRANTY

  EXCEPT AS EXPRESSLY SET FORTH IN THIS AGREEMENT, THE PROGRAM IS
  PROVIDED ON AN "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF
  ANY KIND, EITHER EXPRESS OR IMPLIED INCLUDING, WITHOUT LIMITATION,
  ANY WARRANTIES OR CONDITIONS OF TITLE, NON-INFRINGEMENT,
  MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE. Each Recipient
  is solely responsible for determining the appropriateness of using
  and distributing the Program and assumes all risks associated with
  its exercise of rights under this Agreement , including but not
  limited to the risks and costs of program errors, compliance with
  applicable laws, damage to or loss of data, programs or equipment,
  and unavailability or interruption of operations.

  6. DISCLAIMER OF LIABILITY

  EXCEPT AS EXPRESSLY SET FORTH IN THIS AGREEMENT, NEITHER RECIPIENT
  NOR ANY CONTRIBUTORS SHALL HAVE ANY LIABILITY FOR ANY DIRECT,
  INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
  (INCLUDING WITHOUT LIMITATION LOST PROFITS), 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 OR DISTRIBUTION OF THE PROGRAM OR THE EXERCISE OF ANY RIGHTS
  GRANTED HEREUNDER, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH
  DAMAGES.

  7. GENERAL

  If any provision of this Agreement is invalid or unenforceable under
  applicable law, it shall not affect the validity or enforceability
  of the remainder of the terms of this Agreement, and without further
  action by the parties hereto, such provision shall be reformed to
  the minimum extent necessary to make such provision valid and
  enforceable.

  If Recipient institutes patent litigation against any entity
  (including a cross-claim or counterclaim in a lawsuit) alleging that
  the Program itself (excluding combinations of the Program with other
  software or hardware) infringes such Recipient's patent(s), then
  such Recipient's rights granted under Section 2(b) shall terminate
  as of the date such litigation is filed.

  All Recipient's rights under this Agreement shall terminate if it
  fails to comply with any of the material terms or conditions of this
  Agreement and does not cure such failure in a reasonable period of
  time after becoming aware of such noncompliance. If all Recipient's
  rights under this Agreement terminate, Recipient agrees to cease use
  and distribution of the Program as soon as reasonably practicable.
  However, Recipient's obligations under this Agreement and any
  licenses granted by Recipient relating to the Program shall continue
  and survive.

  Everyone is permitted to copy and distribute copies of this
  Agreement, but in order to avoid inconsistency the Agreement is
  copyrighted and may only be modified in the following manner. The
  Agreement Steward reserves the right to publish new versions
  (including revisions) of this Agreement from time to time. No one
  other than the Agreement Steward has the right to modify this
  Agreement. The Eclipse Foundation is the initial Agreement Steward.
  The Eclipse Foundation may assign the responsibility to serve as the
  Agreement Steward to a suitable separate entity. Each new version of
  the Agreement will be given a distinguishing version number. The
  Program (including Contributions) may always be distributed subject
  to the version of the Agreement under which it was received. In
  addition, after a new version of the Agreement is published,
  Contributor may elect to distribute the Program (including its
  Contributions) under the new version. Except as expressly stated in
  Sections 2(a) and 2(b) above, Recipient receives no rights or
  licenses to the intellectual property of any Contributor under this
  Agreement, whether expressly, by implication, estoppel or otherwise.
  All rights in the Program not expressly granted under this Agreement
  are reserved.

  This Agreement is governed by the laws of the State of New York and
  the intellectual property laws of the United States of America. No
  party to this Agreement will bring a legal action under this
  Agreement more than one year after the cause of action arose. Each
  party waives its rights to a jury trial in any resulting litigation.
