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Writhe

In knot theory, there are several competing notions of the quantity writhe, or Wr {\displaystyle \operatorname {Wr} } . In one sense, it is purely a property of an oriented link diagram and assumes integer values. In another sense, it is a quantity that describes the amount of "coiling" of a mathematical knot (or any closed simple curve) in…

Applications, Writhe of a closed curve & Applications in DNA topology

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Writhe of a closed curve

Euclidean spaceProjectionsKnot diagramsReal numberGheorghe Călugăreanu
9 related topics

Applications in DNA topology

DNADNA supercoiling
2 related topics

Writhe of link diagrams

Right-hand ruleReidemeister movesIsotopy invariant
3 related topics

Numerically approximating the Gauss integral for writhe of a curve in space

Double integral
1 related topics

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Overview

Writhe of link diagrams

Writhe of a closed curve

Numerically approximating the Gauss integral for writhe of a curve in space

Applications in DNA topology

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Writhe

Nodes27
Edges26
Triples28
Avg. degree1.93
Density0.074074
Components1

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Writhe

Top relations

related to Writhe of a closed curve · 11
Writhe → By, Euclidean, Gheorghe Călugăreanu, Hence, In, Its, Lk, Strictly, Then, Tw, Wr
related to Numerically approximating the Gauss integral for writhe of a curve in space · 6
Writhe → DNA, Jörg Langowski, Konstantin Klenin, Michael Levitt, Omega, Since
has application · 4
Writhe → Any, Brock Fuller, DNA, In
related to Writhe of link diagrams · 4
Writhe → For, In, One, The
is a · 3
Writhe → geometric quantity, property of an oriented link diagram, total number of positive crossings minus the total number of negative crossings.A direction is assigned to the link at a point in each component and this direction is followed a…

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Important terminology

knot curve displaystyle dna one diagram space quantity integral link number operatorname sense values closed theory wr property three-dimensional way

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Writheis ageometric quantity0.90text
Writheis aproperty of an oriented link diagram0.90text
Writheis atotal number of positive crossings minus the total number of negative crossings.A direction is assigned to the link at a point in each component and this direction is followed a…0.90text
Writhehas applicationDNA0.60section
Writhehas applicationIn0.60section
Writhehas applicationAny0.60section
Writhehas applicationBrock Fuller0.60section
Writherelated to Numerically approximating the Gauss integral for writhe of a curve in spaceSince0.60section
Writherelated to Numerically approximating the Gauss integral for writhe of a curve in spaceMichael Levitt0.60section
Writherelated to Numerically approximating the Gauss integral for writhe of a curve in spaceDNA0.60section
Writherelated to Numerically approximating the Gauss integral for writhe of a curve in spaceKonstantin Klenin0.60section
Writherelated to Numerically approximating the Gauss integral for writhe of a curve in spaceJörg Langowski0.60section

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