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The two curves of this (2, 8)-torus link have linking number four. In mathematics, the linking number is a numerical invariant that describes the linking of two closed curves in three-dimensional space. Intuitively, the linking number represents the number of times that each curve winds around the other.
Frequently the word link is used to describe any submanifold of the sphere diffeomorphic to a disjoint union of a finite number of spheres, .. In full generality, the word link is essentially the same as the word knot – the context is that one has a submanifold M of a manifold N (considered to be trivially embedded) and a non-trivial embedding of M in N, non-trivial in the sense that the 2nd ...
The linking number of any two components of a link is one of the most elementary concordance invariants. The signature of a knot is also a concordance invariant. A subtler concordance invariant are the Milnor invariants , and in fact all rational finite type concordance invariants are Milnor invariants and their products, [ 1 ] though non ...
1 link/Solomon's knot (a two component "link" rather than a one component "knot") - a traditional decorative motif used since ancient times (L4a1) 5 2 1 link/Whitehead link - two projections of the unknot: one circular loop and one figure eight-shaped loop intertwined such that they are inseparable and neither loses its form (L5a1)
In knot theory, the writhe is a property of an oriented link diagram. The writhe is the 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 all the way around each component. For each crossing one comes across while traveling in this direction, if the strand un
In knot theory, the self-linking number is an invariant of framed knots. It is related to the linking number of curves. ... 791– 818, arXiv: math/0105139, ...
Linking bank accounts is a way to make it easier to transact between the two. ... account numbers and transactions) in one place, making it more convenient to keep track of each account. However ...
The number of colorings meeting these conditions is a knot invariant, independent of the diagram chosen for the link. A trivial link with three components has n 3 − n {\displaystyle n^{3}-n} colorings, obtained from its standard diagram by choosing a color independently for each component and discarding the n {\displaystyle n} colorings that ...