Knot Theory
Knot theory is a branch of topology. It deals with the mathematical analysis of knots, their structure and properties, and with the relationships between different knots. In topology, a knot is a figure consisting of a single loop, abstracted from any physical rope or line, with any number of crossing or "knotted" elements. As such, it has no proper ends, and cannot be undone or untied. Various mathematical techniques are used to classify and distinguish knots. For instance, the Alexander polynomial can be used to distinguish the trefoil knot from the figure-eight knot and the unknot (a simple loop).
Read more about this topic: Trick Knot
Famous quotes containing the words knot and/or theory:
“Brutus. How many times shall Caesar bleed in sport,
That now on Pompeys basis lies along,
No worthier than the dust!
Cassius. So oft as that shall be,
So often shall the knot of us be called
The men that gave their country liberty.”
—William Shakespeare (15641616)
“A theory of the middle class: that it is not to be determined by its financial situation but rather by its relation to government. That is, one could shade down from an actual ruling or governing class to a class hopelessly out of relation to government, thinking of govt as beyond its control, of itself as wholly controlled by govt. Somewhere in between and in gradations is the group that has the sense that govt exists for it, and shapes its consciousness accordingly.”
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