Positivity of polynomial in the context of Czech education

dc.contributor.authorFrank, Jan
dc.contributor.authorHonzík, Lukáš
dc.date.accessioned2020-12-14T11:00:09Z
dc.date.available2020-12-14T11:00:09Z
dc.date.issued2020
dc.description.abstract-translatedDecomposition of a polynomial as a Sum of squares of polynomials (SOS) is one of the classical methods how to prove that certain polynomial f is a positive semidefinite polynomial. At present, this is a technique that is not usually taught at Czech high schools or in (Computer) Algebra courses in the preparation of mathematics and/or computer science teachers at the faculties of education. In the case of polynomials of one variable, sum of squares decomposition could be a simple problem and this technique could be used by mathematical olympics solvers. The opposite case represents higher degree polynomials in multiple variables. Here we cannot solve the problem without computer technology and mathematical software. Thanks to this software, it is possible to look at the classical problems in an innovative way through the optics of computer technologies, and it is possible to solve problems which were almost impossible to solve in the past. Through the cognitive technologies, we can also bring near the more difficult parts of this issue and more abstract concepts to high school students and teachers at elementary and high schools.en
dc.format11 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationFRANK, J., HONZÍK, L. Positivity of polynomial in the context of Czech education. In: 19th conference on applied mathematics : Aplimat 2020 proceedings. Bratislava: Slovak University of Technology, 2020. s. 437-447. ISBN 978-80-227-4983-1.cs
dc.identifier.isbn978-80-227-4983-1
dc.identifier.obd43928879
dc.identifier.uri2-s2.0-85082387547
dc.identifier.urihttp://hdl.handle.net/11025/42276
dc.language.isoenen
dc.publisherSlovak University of Technologyen
dc.relation.ispartofseries19th conference on applied mathematics : Aplimat 2020 proceedingsen
dc.rightsPlný text není přístupný.cs
dc.rights© Slovak University of Technologyen
dc.rights.accessclosedAccessen
dc.subject.translatedpositive semidefinite polynomialen
dc.subject.translated17th Hilbert problemen
dc.subject.translatedsum of squares decomposition (SOS)en
dc.subject.translatedmathematical softwareen
dc.subject.translatedcognitive technologyen
dc.titlePositivity of polynomial in the context of Czech educationen
dc.typekonferenční příspěvekcs
dc.typeconferenceObjecten
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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