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Braids, Links, and Mapping Class Groups is a mathematical monograph on braid groups and their applications in low-dimensional topology.It was written by Joan Birman, based on lecture notes by James W. Cannon, [1] and published in 1974 by the Princeton University Press and University of Tokyo Press, as volume 82 of the book series Annals of Mathematics Studies.
The art that is worked on the takadai is a braid, not a weave. Although many of the patterns used on this braiding stand resemble the up and down motion of a weave, since each thread takes a turn at being both the weft and the warp, it is a braid. On the takadai it is possible to make intricate patterns using a technique called "pick-up braids ...
The composition of the braids σ and τ is written as στ.. The set of all braids on four strands is denoted by .The above composition of braids is indeed a group operation. . The identity element is the braid consisting of four parallel horizontal strands, and the inverse of a braid consists of that braid which "undoes" whatever the first braid did, which is obtained by flipping a diagram ...
In the mathematical area of group theory, Artin groups, also known as Artin–Tits groups or generalized braid groups, are a family of infinite discrete groups defined by simple presentations. They are closely related with Coxeter groups. Examples are free groups, free abelian groups, braid groups, and right-angled Artin–Tits groups, among ...
Splices can be used to form a stopper at the end of a line, to form a loop or an eye in a rope, or for joining two ropes together. [1] Splices are preferred to knotted rope, since while a knot typically reduces the strength by 20–40%, [ 2 ] a splice is capable of attaining a rope's full strength. [ 3 ]
This produces a flat, 3-strand braid. A braiding machine is a device that interlaces three or more strands of yarn or wire to create a variety of materials, including rope, reinforced hose, covered power cords, and some types of lace. [1] [2] Braiding materials include natural and synthetic yarns, metal wires, leather tapes, and others.
This flow diagram shows how the join pattern is executed by a general match with different channels (wait a chord) and synchronizes the resources (free or lock). Join-pattern is defined by a set of pi-calculus channels x that supports two different operations, sending and receiving, we need two join calculus names to implement it: a channel ...
Kumihimo braid A marudai stand featuring a partially finished kumihimo, weighted with a tama (lit. ' ball ') weight to keep tension whilst weaving. Kumihimo is a traditional Japanese artform and craftwork for making braids and cords. [1] [2] In the past, kumihimo decorations were used as accessories for kimono as well as samurai armor. [3]