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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 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 ...
DuPont made public in 1938 that their company had invented nylon. [1] This new invention was the first synthetic fiber, fabrics that are commonly used in textiles today. [2] In 1939, DuPont began marketing nylon monofilament fishing lines; however, braided Dacron lines remained the most used and popular fishing line for the next two decades, as early monofilament line was very stiff or "wiry ...
A braided monoidal category is a monoidal category equipped with a braiding—that is, a commutativity constraint that satisfies axioms including the hexagon identities defined below. The term braided references the fact that the braid group plays an important role in the theory of braided monoidal categories.
Power Pro a type of braided fishing line made out of a material called Spectra fibers.It has an equivalent diameter of nearly 1/5 of monofilament.Thus the diameter of a piece of Power Pro testing at 50 pounds is equivalent to monofilaments' diameter testing at around 12 pounds.
A synthetic adsorbable suture material. Braided synthetic adsorbable multifilament made of polyglycolic acid and coated with N-laurin and L-lysine, which render the thread extremely smooth, soft and knot safe. A synthetic adsorbable suture material. Monofilament synthetic absorbable suture, prepared from the polyester, poly (p-dioxanone ...
In mathematics, a monoidal category (or tensor category) is a category equipped with a bifunctor: that is associative up to a natural isomorphism, and an object I that is both a left and right identity for ⊗, again up to a natural isomorphism.
[8]: 10 [9] The most common chart size was early established as the "Double-elephant", about 39 X 25.5 inches, and this has continued to be the case. [10] Chart design gradually simplified over the years, with less detail on land, focusing on features visible to the mariner. Contours were increasingly used for hills instead of hatching.
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