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Topic: Braid theory

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Knot theory

	Facts about topic: (Braid theory) (Site not responding. Last check: 2007-10-08)
		The idea is that braids can be organised into group ((chemistry) two or more atoms bound together as a single unit and forming part of a molecule) s, in which the group operation is 'do the first braid on a set of strings, and then follow it with a second on the twisted strings'.
		Braid groups may also be given a deeper mathematical interpretation: as the fundamental group (additional info and facts about fundamental group) of certain configuration space (additional info and facts about configuration space) s.
		When X is the plane, the braid can be closed, i.e., corresponding ends can be connected in pairs, to form a link ((computing) an instruction that connects one part of a program or an element on a list to another program or list), i.e., a possibly intertwined union of possibly knotted loops in three dimensions.
	www.absoluteastronomy.com /encyclopedia/b/br/braid_theory.htm (639 words)

	Knot theory
		Knot theory concerns itself with abstract properties of theoretical knots--the spatial arrangements that in principle could be assumed by a loop of string.
		Knot theory originated in an idea of Lord Kelvin's (1867), that atoms were knots of swirling vortices in the æther;, and that an understanding and classification of all possible knots would explain why atoms absorb and emit light at only the discrete wavelengths that they do (i.e.
		The vortex theory has been disreguarded by some, but the general knot theory has grown into a subject with wide and often unexpected applications, for example to theories of particle physics, DNA replication and recombination, and to areas of statistical mechanics.
	www.brainyencyclopedia.com /encyclopedia/k/kn/knot_theory.html (628 words)

	Articles - Braid (Site not responding. Last check: 2007-10-08)
		Braiding of fiber yarn creates a strand or rope that is thicker and stronger than the strands would have been separately.
		Braided ropes are preferred by arborists and rock climbers because they do not twist under load, as does an ordinary twisted-strand rope.
		Braids are also studied mathematically in braid theory, a special field of knot theory.
	www.seekj.com /articles/Braid (360 words)

	Program on Braids - IMS
		In topology, braid theory is an abstract geometric theory studying the everyday braid concept, and some generalizations.
		The idea is that braids can be organized into groups, in which the group operation is "do the first braid on a set of strings, and then follow it with a second on the twisted strings".
		The main theme of the program is the mathematical structure of the braid group, together with applications arising from this structure both within mathematics, and outside of mathematics such as (a) magnetohydrodynamics, (b) robotics and (c) stereochemistry.
	www.ims.nus.edu.sg /Programs/braids/index.htm (978 words)

	TheForce.Net - Humor - More News
		Anakin's Side Switching Scar in EP3 TV Ad
		Don't you remember the 'Reverse Padawan Braid Theory'?
		Can a father convince his son to love SW in time for ROTS?
	www.theforce.net /humor/morenews.asp (182 words)

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