6448
eng
reportzib
0
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2017-11-07
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Rational Solutions of Underdetermined Polynomial Equations
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.
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.
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.
1438-0064
urn:nbn:de:0297-zib-64488
Thomas Wolf
Winfried Neun
Chimaobi Amadi
ZIB-Report
17-33
eng
uncontrolled
underdetermined polynomial systems, rational solutions, computer algebra, recreational mathematics
GENERAL ALGEBRAIC SYSTEMS
COMMUTATIVE RINGS AND ALGEBRAS
MATHEMATICS EDUCATION
Digital Data and Information for Society, Science, and Culture
no-project
https://opus4.kobv.de/opus4-zib/files/6448/ZR-17-33.pdf