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Topic: Knot theory

	Theory Work @ NaturalResearch.org (Natural Research) (Site not responding. Last check: 2007-11-06)
		In science, a theory is a proposed description, explanation, or model of the manner of interaction of a set of natural phenomena, capable of predicting future occurrences or observations of the same kind, and capable of being tested through experiment or otherwise verified through empirical observation.
		A theory is a logically self-consistent model or framework for describing the behavior of a related set of natural or social phenomena.
		This is true of such established theories as special and general relativity, quantum mechanics, plate tectonics, evolution, etc. The fewer which are matched, the less scientific it is; those that meet only several criteria, or none at all, cannot be said to be scientific in any meaningful sense of the word.
	www.naturalresearch.org /encyclopedia/Theory (1866 words)

	PlanetMath: knot theory
		A knot diagram is a projection of a link onto a plane such that no more than two points of the link are projected to the same point on the plane and at each such point it is indicated which strand is closest to the plane (usually by erasing part of the lower strand).
		Knot theorists have accumulated a large number of knot invariants, values associated with a knot diagram which are unchanged when the diagram is modified by a Reidemeister move.
		Knot theorists also study ways in which a complex knot may be described in terms of simple pieces -- for example every knot is the connected sum of non trivial prime knots and many knots can be described simply using Conway notation.
	planetmath.org /encyclopedia/KnotTheory.html (959 words)

	Reference.com/Web Directory/Top/Science/Math/Topology/Knot_Theory
		History of Knot Theory - Biographies of early knot theorists.
		Knot Theory - An overview of knot theory from Mathworld
		Knot Theory Online - This site is designed for mathematics students at the high school and college levels as an introduction to an area of mathematics seldom explored in the typical math classroom - the Theory of Knots.
	www.reference.com /Dir/Science/Math/Topology/Knot_Theory (748 words)

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