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...have closures that are equivalent [[knot (mathematics)|knot]]s or [[link (knot theory)|link]]s. The conditions are stated in terms of the [[group (mathema ...s theorem]] which states that every [[knot (mathematics)|knot]] or [[link (knot theory)|link]] in three-dimensional Euclidean space is the closure of a [[b ...

...ematical Society]], for his "contributions to low-dimensional topology and knot theory."<ref>{{cite journal|url=https://www.ams.org/profession/ams-fellows/ ...Lackenby|first=Marc|date=1997-08-01|title=Surfaces, surgery and unknotting operations|journal=[[Mathematische Annalen]]|language=en|volume=308|issue=4|pages=615– ...

[[Image:Pretzel knot.svg|right|140px|thumb|The [[(−2,3,7) pretzel knot]] has two right-handed twists in its first '''tangle''', three left-handed * In [[link (knot theory)|link theory]], a tangle is an embedding of ''n'' arcs and ''m'' cir ...

...ast = Dehornoy|first= Patrick | title = Braid groups and left distributive operations | journal = [[Transactions of the American Mathematical Society]] | date = == Connection with knot theory == ...

...mathematics, including [[computational group theory]], [[k-theory]], and [[knot theory]]. ...sis <math display="inline">[y_1,\ldots,y_n]</math> by one of the following operations: ...

...s life Pask presented models based on [[Knot theory]] [[knot (mathematics)|knot]]s which described minimal persisting concepts. He interpreted these as act ...sk associated the interactions of thought generation with [[radiation]] : "operations generating thoughts and penetrating conceptual boundaries within participan ...

...rojective plane means exchanging the ''points'' with the ''lines'' and the operations ''intersection'' and ''connecting''. The dual structure of a projective pla ...math> all the tangents of a point conic intersect in a point, called the ''knot'' (or ''nucleus'') of the conic. Thus, the dual of a non-degenerate point c ...

...ly by words, a "syncopated" stage in which quantities and common algebraic operations are beginning to be represented by symbolic abbreviations, and finally a " ...contains work on the theory of numbers, arithmetical operations, geometry, operations with [[fractions]], simple equations, [[cubic equations]], quartic equation ...

...necessary that it be regarded as a dependence expressed using mathematical operations.<ref>{{harvnb|Dirichlet|1889 |p=135}} as quoted in {{harvnb|Medvedev|1991|p ...any simple classes; it may be a class indicated by certain inverse logical operations, it may be composed of two groups of classes equal to one another, or what ...

..., containing 66 [[Sanskrit]] verses, was divided into two sections: "basic operations" (including cube roots, fractions, ratio and proportion, and barter) and "p ...Qurra]] (known as Thebit in [[Latin]]) (836–901) dealt with [[arithmetic]] operations applied to [[ratio]]s of geometrical quantities, and contributed to the dev ...

...directionality of sharp angles; providing small-scale complexity (from the knot level upwards) and both small- and large-scale symmetry; repeating elements ...ectively directs the system to apply a desired combination of mathematical operations to a chosen set of data.<ref>{{cite web |last=Levin |first=Golan |title=Gen ...

...kinds of binding with cord made of leather or fiber, using many kinds of [[knot]]s. The screw was one of the last of the simple machines to be invented.<re ...d due to competition from the lower-cost, gimlet-pointed screw, and ceased operations in 1836.<ref name="Mitchell2009">{{cite book |author=J. Thomas Mitchell |ti ...

...under the organic label. Multiple organizations are accredited to certify operations organic.<ref>{{Cite web |url=https://www.cdfa.ca.gov/is/docs/CertifiersList ...ill 390 (SB390) in 1990, that eliminated a blanket waiver for agricultural operations to discharge wastewater without any specific environmental standards.<ref>{ ...

...w.quarkweb.com/foyle/MinimumCostDesign.pdf ''Minimum Cost Design for Space Operations''.]</ref> ...aft's indicated airspeed in knots is typically abbreviated ''KIAS'' for "[[Knot (unit)|Knots]]-Indicated Air Speed" (vs. ''KCAS'' for [[calibrated airspeed ...