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Viro's patchworking disproves Ragsdale's conjecture

著者: Jesús A De Loera; Frederick J Wicklin; University of Minnesota. Geometry Center.
出版: [Minneapolis] : The Geometry Center, ©1997.
エディション/フォーマット:   VHS : VHS tape : Animation   視覚資料 : English
データベース:WorldCat
概要:
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  続きを読む
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詳細

関連の人物: O I︠A︡ Viro; Virginia Ragsdale; Virginia Ragsdale; O I︠A︡ Viro
資料の種類: Animation, Videorecording
ドキュメントの種類: 視覚資料
すべての著者/寄与者: Jesús A De Loera; Frederick J Wicklin; University of Minnesota. Geometry Center.
OCLC No.: 63886547
物理形態: 1 videocassette (8 min.) : sd., col. ; 1/2 in. + notes (1 sheet)
詳細: VHS.
責任者: written and produced by Jesús A. De Loera and Frederick J. Wicklin.

概要:

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:oclcnum "63886547" ;
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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." ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/47940530> ;
   schema:inLanguage "en" ;
   schema:name "Viro's patchworking disproves Ragsdale's conjecture" ;
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<http://experiment.worldcat.org/entity/work/data/47940530#Person/viro_o_ia_1948> # O I︠A︡ Viro
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<http://viaf.org/viaf/150550613> # University of Minnesota. Geometry Center.
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<http://viaf.org/viaf/7302199> # Jesús A. De Loera
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<http://viaf.org/viaf/9757312> # Frederick J. Wicklin
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