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{{short description|Gives necessary and sufficient conditions for two braids to have equivalent closures}} ...ons are stated in terms of the [[group (mathematics)|group]] structures on braids. ...

...| last3=Rolfsen | first3=Dale | last4=Wiest | first4=Bert | title=Ordering braids | url=https://books.google.com/books?id=St68wblwRlEC | publisher=[[American ...<math>\beta_1 = \sigma_2</math> and <math>\beta_2 = \sigma_1</math>), and braids <math>\beta_1, \beta_2</math> greater than <math>1</math> satisfying <math> ...

...st1=Joan S. | author1-link=Joan Birman | last2=Wenzl | first2=Hans | title=Braids, link polynomials and a new algebra | jstor= 2001074 | mr=992598 | yea ...

...te, then there will be a simple object <math>A\in \mathcal{C}</math> which braids trivially with all the other simple objects, and so the column of the modul ...

...of positive braids for {{math|''t''}} in {{math|[0,1]}} &ndash; i.e. for braids that are words in the standard braid group generators containing no inverse ...

...nd related structures such as [[Link (knot theory)|links]], [[Braid theory|braids]], and [[Tangle (mathematics)|tangles]]. ...

...versity of Singapore|volume=19|pages=263–304|chapter=Configuration Spaces, Braids, and Robotics|doi=10.1142/9789814291415_0004|editor-last2=Cohen|editor-firs ...=Configuration spaces and braid groups on graphs in robotics|title= Knots, braids, and mapping class groups—papers dedicated to Joan S. Birman|pages=29–40|se ...

Then, we must define braids and twists in such a way that they are compatible. In this case, this large ...

...hree-body problem]].<ref>See E. Kin, H. Nakamura and H. Ogawa: Lissajous 3-braids, J. Math. Soc. Japan 75, 195--228 (2023) (or {{arXiv|2008.00585v4}}).</ref> ...

...last4=Dharmapurikar|first4=Sarang|last5=Kabbani|first5=Abdul|title=Counter braids|journal=ACM SIGMETRICS Performance Evaluation Review|volume=36|issue=1|year ...

...attack was refuted by Gunnells, by showing that properly sized conjugator braids cannot be separated.<ref name="gscsp"/> ...

*{{cite book| title = Braids, links, and mapping class groups | title-link = Braids, Links, and Mapping Class Groups ...

...sented as braids with one fixed strand (for {{math|''n'' {{=}} 4}}) and as braids drawn on a cylinder (for {{math|''n'' {{=}} 3}})]] ...n}</math> may be interpreted as a certain subgroup consisting of geometric braids, and also that it is a [[linear group]].{{sfnp|Allcock|2002}}{{sfnp|Kent, I ...

...th> is the [[Artin braid group]] <math>B_n</math>, generated by elementary braids <math>\sigma_1, \ldots, \sigma_{n-1}</math> subject to the braid relations ...

...https://archive.org/details/intelligentguide00brai|url-access=limited|last=Braids|first=Sam|publisher=Intelligent Games Publishing|year=2003|isbn=0-9677551-2 ...

...forces to interact and persist in filling the space. The knots, links and braids of his entailment mesh models of concepts, which could include tangle-like ...

| title=Topology, Braids, and Mixing in Fluids ...

...t7=Stefan |last8=Dunin-Borkowski |first8=Rafal E. |title=Magnetic skyrmion braids |journal=Nature Communications |date=7 September 2021 |volume=12 |issue=1 | ...

...C. Moore in 1993<ref>{{cite journal |last1=Moore |first1=Cristopher |title=Braids in classical dynamics |journal=Physical Review Letters |date=1993-06-14 |vo ...