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- Skein_relation abstract "Skein relations are a mathematical tool used to study knots. A central question in the mathematical theory of knots is whether two knot diagrams represent the same knot. One way to answer the question is using knot polynomials, which are invariants of the knot. If two diagrams have different polynomials, they represent different knots. The reverse may not be true.Skein relations are often used to give a simple definition of knot polynomials. A skein relation gives a linear relation between the values of a knot polynomial on a collection of three links which differ from each other only in a small region. For some knot polynomials, such as the Conway, Alexander, and Jones polynomials, the relevant skein relations are sufficient to calculate the polynomial recursively. For others, such as the HOMFLYPT polynomial, more complicated algorithms are necessary.".
- Skein_relation thumbnail Skein-relation-patches.png?width=300.
- Skein_relation wikiPageExternalLink HopfLink.html.
- Skein_relation wikiPageExternalLink knots3.html.
- Skein_relation wikiPageID "314902".
- Skein_relation wikiPageLength "8871".
- Skein_relation wikiPageOutDegree "58".
- Skein_relation wikiPageRevisionID "660958333".
- Skein_relation wikiPageWikiLink Alexander_polynomial.
- Skein_relation wikiPageWikiLink Alternating_knot.
- Skein_relation wikiPageWikiLink Category:Diagram_algebras.
- Skein_relation wikiPageWikiLink Category:Knot_theory.
- Skein_relation wikiPageWikiLink Cinquefoil_knot.
- Skein_relation wikiPageWikiLink HOMFLYPT_polynomial.
- Skein_relation wikiPageWikiLink HOMFLY_polynomial.
- Skein_relation wikiPageWikiLink Hopf_link.
- Skein_relation wikiPageWikiLink John_Horton_Conway.
- Skein_relation wikiPageWikiLink Jones_polynomial.
- Skein_relation wikiPageWikiLink Journal_of_Knot_Theory_and_Its_Ramifications.
- Skein_relation wikiPageWikiLink Kernel_(algebra).
- Skein_relation wikiPageWikiLink Knot_(mathematics).
- Skein_relation wikiPageWikiLink Knot_diagram.
- Skein_relation wikiPageWikiLink Knot_invariant.
- Skein_relation wikiPageWikiLink Knot_polynomial.
- Skein_relation wikiPageWikiLink Knot_theory.
- Skein_relation wikiPageWikiLink Laurent_series.
- Skein_relation wikiPageWikiLink Link_(knot_theory).
- Skein_relation wikiPageWikiLink Matrix_(mathematics).
- Skein_relation wikiPageWikiLink Planar_algebra.
- Skein_relation wikiPageWikiLink Polynomial.
- Skein_relation wikiPageWikiLink Quotient_map.
- Skein_relation wikiPageWikiLink Quotient_space_(topology).
- Skein_relation wikiPageWikiLink Recursion.
- Skein_relation wikiPageWikiLink Tangle_(mathematics).
- Skein_relation wikiPageWikiLink File:Skein-relation-cinquefoil-minus-sm.png.
- Skein_relation wikiPageWikiLink File:Skein-relation-cinquefoil-plus-sm.png.
- Skein_relation wikiPageWikiLink File:Skein-relation-cinquefoil-zero-sm.png.
- Skein_relation wikiPageWikiLink File:Skein-relation-link20-minus-sm.png.
- Skein_relation wikiPageWikiLink File:Skein-relation-link20-plus-sm.png.
- Skein_relation wikiPageWikiLink File:Skein-relation-link20-zero-sm.png.
- Skein_relation wikiPageWikiLink File:Skein-relation-link22-minus-sm.png.
- Skein_relation wikiPageWikiLink File:Skein-relation-link22-plus-sm.png.
- Skein_relation wikiPageWikiLink File:Skein-relation-link22-zero-sm.png.
- Skein_relation wikiPageWikiLink File:Skein-relation-link24-minus-sm.png.
- Skein_relation wikiPageWikiLink File:Skein-relation-link24-plus-sm.png.
- Skein_relation wikiPageWikiLink File:Skein-relation-link24-zero-sm.png.
- Skein_relation wikiPageWikiLink File:Skein-relation-patches.png.
- Skein_relation wikiPageWikiLink File:Skein-relation-trefoil-minus-sm.png.
- Skein_relation wikiPageWikiLink File:Skein-relation-trefoil-plus-sm.png.
- Skein_relation wikiPageWikiLink File:Skein-relation-trefoil-zero-sm.png.
- Skein_relation wikiPageWikiLinkText "Skein relation".
- Skein_relation wikiPageWikiLinkText "skein invariant".
- Skein_relation wikiPageWikiLinkText "skein relation".
- Skein_relation hasPhotoCollection Skein_relation.
- Skein_relation id "SkeinRelationship".
- Skein_relation title "Skein Relationship".
- Skein_relation wikiPageUsesTemplate Template:Citation.
- Skein_relation wikiPageUsesTemplate Template:Knot_theory.
- Skein_relation wikiPageUsesTemplate Template:MathWorld.
- Skein_relation subject Category:Diagram_algebras.
- Skein_relation subject Category:Knot_theory.
- Skein_relation hypernym Tool.
- Skein_relation type Article.
- Skein_relation type Software.
- Skein_relation type Algebra.
- Skein_relation type Article.
- Skein_relation comment "Skein relations are a mathematical tool used to study knots. A central question in the mathematical theory of knots is whether two knot diagrams represent the same knot. One way to answer the question is using knot polynomials, which are invariants of the knot. If two diagrams have different polynomials, they represent different knots. The reverse may not be true.Skein relations are often used to give a simple definition of knot polynomials.".
- Skein_relation label "Skein relation".
- Skein_relation sameAs スケイン関係式.
- Skein_relation sameAs m.01tq7b.
- Skein_relation sameAs Скейн-соотношение.
- Skein_relation sameAs Q4421793.
- Skein_relation sameAs Q4421793.
- Skein_relation wasDerivedFrom Skein_relation?oldid=660958333.
- Skein_relation depiction Skein-relation-patches.png.
- Skein_relation isPrimaryTopicOf Skein_relation.