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Viro's patchworking disproves Ragsdale's conjecture

Auteur: Jesús A De Loera; Frederick J Wicklin; University of Minnesota. Geometry Center.
Uitgever: [Minneapolis] : The Geometry Center, ©1997.
Editie/Formaat:   VHS-video : VHS-band : Animatie   Visueel materiaal : Engels
Database:WorldCat
Samenvatting:
This animated video explains new developments concerning Hilbert's sixteenth problem, still unsolved, dealing with ways nonsingular level sets of polynomials can be arranged in the projected plane. Mathematician Virginia Ragsdale had conjectured an upper bound on the number of topological circles resulting from algebraic curves of degree 2k. After almost 90 years, Oleg Viro has proposed a new combinatorial method  Meer lezen...
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Details

Genoemd persoon: O I︠A︡ Viro; Virginia Ragsdale; Virginia Ragsdale; O I︠A︡ Viro
Genre: Animatie, Video-opname
Soort document: Visueel materiaal
Alle auteurs / medewerkers: Jesús A De Loera; Frederick J Wicklin; University of Minnesota. Geometry Center.
OCLC-nummer: 63886547
Beschrijving: 1 videocassette (8 min.) : sound, color ; 1/2 in. + notes (1 sheet)
Details: VHS.
Verantwoordelijkheid: written and produced by Jesús A. De Loera and Frederick J. Wicklin.

Fragment:

This animated video explains new developments concerning Hilbert's sixteenth problem, still unsolved, dealing with ways nonsingular level sets of polynomials can be arranged in the projected plane. Mathematician Virginia Ragsdale had conjectured an upper bound on the number of topological circles resulting from algebraic curves of degree 2k. After almost 90 years, Oleg Viro has proposed a new combinatorial method for constructing curves, known as patchworking, which has shown counter-examples to the Ragsdale Conjecture.

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Primary Entity

<http://www.worldcat.org/oclc/63886547> # Viro's patchworking disproves Ragsdale's conjecture
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   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/mnu> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/47940530#Person/viro_o_ia_1948> ; # O I︠A︡ Viro
   schema:about <http://id.worldcat.org/fast/885451> ; # Curves, Algebraic
   schema:about <http://viaf.org/viaf/72036265> ; # O I︠A︡ Viro
   schema:about <http://experiment.worldcat.org/entity/work/data/47940530#Person/ragsdale_virginia> ; # Virginia Ragsdale
   schema:contributor <http://viaf.org/viaf/7302199> ; # Jesús A. De Loera
   schema:contributor <http://viaf.org/viaf/9757312> ; # Frederick J. Wicklin
   schema:contributor <http://viaf.org/viaf/150550613> ; # University of Minnesota. Geometry Center.
   schema:copyrightYear "1997" ;
   schema:datePublished "1997" ;
   schema:description "This animated video explains new developments concerning Hilbert's sixteenth problem, still unsolved, dealing with ways nonsingular level sets of polynomials can be arranged in the projected plane. Mathematician Virginia Ragsdale had conjectured an upper bound on the number of topological circles resulting from algebraic curves of degree 2k. After almost 90 years, Oleg Viro has proposed a new combinatorial method for constructing curves, known as patchworking, which has shown counter-examples to the Ragsdale Conjecture."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/47940530> ;
   schema:inLanguage "en" ;
   schema:name "Viro's patchworking disproves Ragsdale's conjecture"@en ;
   schema:productID "63886547" ;
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   schema:publisher <http://experiment.worldcat.org/entity/work/data/47940530#Agent/the_geometry_center> ; # The Geometry Center
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/63886547> ;
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<http://experiment.worldcat.org/entity/work/data/47940530#Person/ragsdale_virginia> # Virginia Ragsdale
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   schema:givenName "Virginia" ;
   schema:name "Virginia Ragsdale" ;
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<http://experiment.worldcat.org/entity/work/data/47940530#Person/viro_o_ia_1948> # O I︠A︡ Viro
    a schema:Person ;
   schema:birthDate "1948" ;
   schema:familyName "Viro" ;
   schema:givenName "O. I︠A︡." ;
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<http://id.worldcat.org/fast/885451> # Curves, Algebraic
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<http://viaf.org/viaf/150550613> # University of Minnesota. Geometry Center.
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<http://viaf.org/viaf/72036265> # O I︠A︡ Viro
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   schema:familyName "Viro" ;
   schema:givenName "O. I︠A︡." ;
   schema:name "O I︠A︡ Viro" ;
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<http://viaf.org/viaf/7302199> # Jesús A. De Loera
    a schema:Person ;
   schema:birthDate "1966" ;
   schema:familyName "De Loera" ;
   schema:givenName "Jesús A." ;
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<http://viaf.org/viaf/9757312> # Frederick J. Wicklin
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   schema:givenName "Frederick J." ;
   schema:name "Frederick J. Wicklin" ;
    .


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