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Linking number information


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. In Euclidean space, the linking number is always an integer, but may be positive or negative depending on the orientation of the two curves (this is not true for curves in most 3-manifolds, where linking numbers can also be fractions or just not exist at all).

The linking number was introduced by Gauss in the form of the linking integral. It is an important object of study in knot theory, algebraic topology, and differential geometry, and has numerous applications in mathematics and science, including quantum mechanics, electromagnetism, and the study of DNA supercoiling.

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Linking number

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linking number is a numerical invariant that describes the linking of two closed curves in three-dimensional space. Intuitively, the linking number represents...

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DNA supercoil

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numerically by changes in the linking number Lk. The linking number is the most descriptive property of supercoiled DNA. Lko, the number of turns in the relaxed...

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Entity linking

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In natural language processing, entity linking, also referred to as named-entity linking (NEL), named-entity disambiguation (NED), named-entity recognition...

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LinkedIn

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emphasis is helping users with their LinkedIn profiles. There's no hiding in the long grass on LinkedIn ... The number one mistake people make on the profile...

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Linking and intrusive R

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separated by a pausa). This phenomenon is known as linking R. Not all non-rhotic accents feature linking R. South African English, African-American Vernacular...

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Linked numbering scheme

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A linked numbering scheme (LNS) is a dialing procedure in effect in a service area within which call routing between adjacent exchanges does not require...

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Mobile deep linking

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underlying technology of HTTP and URLs allows for deep linking by default, enabling deep linking on mobile apps requires these apps be configured to properly...

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Link building

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Deep linking: linking directly to a page within another website. Inline linking: linking directly to content within another website. Internal link: linking...

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Nucleic acid double helix

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such as the linking number and the twist, are needed. The meaning of these for a closed ribbon is explained and also that of the writhing number of a closed...

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Topoisomerase

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a non-zero linking difference, more correctly referred to as specific linking difference (σ = ΔLk/Lk0, where Lk0 is the mean linking number of the relaxed...

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Nucleic acid structure

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is characterized by the linking number, twist and writhe. The linking number (Lk) for circular DNA is defined as the number of times one strand would...

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Numberlink

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Daily Eagle, in a column by Sam Loyd. Another early, printed version of Number Link can be found in Henry Ernest Dudeney's book Amusements in mathematics...

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Superhelix

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W, where Lk is the linking number, W is the writhe and T is the twist of the coil. The linking number refers to the number of times that one strand wraps...

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ISSN

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media. As defined by ISO 3297:2007, the "linking ISSN (ISSN-L)" provides a mechanism for collocation or linking among the different media versions of the...

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Topoisomer

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catenanes. Each topoisomer of a given DNA molecule possesses a different linking number associated with it. DNA topoisomers can be interchanged by enzymes called...

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Number

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A number is a mathematical object used to count, measure, and label. The most basic examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers...

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Linking pin model

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The linking pin model is an idea developed by Rensis Likert. It presents an organisation as a number of overlapping work units in which a member of a unit...

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Type II topoisomerase

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unlike Type I topoisomerase. In this process, these enzymes change the linking number of circular DNA by ±2. Topoisomerases are ubiquitous enzymes, found...

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Whitehead link

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towards the linking number. Because the remaining crossings have equal numbers of under and over crossings on each loop, its linking number is 0. It is...

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Linked data

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links to other Linked Open Data sources. The term "linked open data" has been in use since at least February 2007, when the "Linking Open Data" mailing...

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Linked list

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'prev'('previous'). A technique known as XOR-linking allows a doubly linked list to be implemented using a single link field in each node. However, this technique...

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ISBN

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The International Standard Book Number (ISBN) is a numeric commercial book identifier that is intended to be unique. Publishers purchase or receive ISBNs...

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Chinese linking rings

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The Chinese linking rings is a classic of illusion magic in which solid metal rings appear to link and unlink, pass through each other, and form chains...

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Link rot

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or content addressing avoiding linking to documents other than web pages avoiding deep linking [citation needed] linking to web archives such as the Internet...

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