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  <doc>
    <id>6448</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>2017-11-07</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Rational Solutions of Underdetermined Polynomial Equations</title>
    <abstract language="eng">In this paper we report on an application of computer algebra in which mathematical puzzles are generated of a type that had been widely used in mathematics contests by a large number of participants worldwide. &#13;
&#13;
The algorithmic aspect of our work provides a method to compute rational solutions of single polynomial equations that are typically large with 10^2 ... 10^5 terms and that are heavily underdetermined. &#13;
&#13;
It was possible to obtain this functionality by adding a number of new modules for a new type of splitting of equations to the existing package CRACK that is normally used to solve polynomial algebraic and differential systems of equations.</abstract>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-64488</identifier>
    <author>Thomas Wolf</author>
    <submitter>Winfried Neun</submitter>
    <author>Chimaobi Amadi</author>
    <series>
      <title>ZIB-Report</title>
      <number>17-33</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>underdetermined polynomial systems, rational solutions, computer algebra, recreational mathematics</value>
    </subject>
    <collection role="msc" number="08-XX">GENERAL ALGEBRAIC SYSTEMS</collection>
    <collection role="msc" number="13-XX">COMMUTATIVE RINGS AND ALGEBRAS</collection>
    <collection role="msc" number="97-XX">MATHEMATICS EDUCATION</collection>
    <collection role="institutes" number="sis">Digital Data and Information for Society, Science, and Culture</collection>
    <collection role="projects" number="no-project">no-project</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/6448/ZR-17-33.pdf</file>
  </doc>
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