In mathematics, an interval exchange transformation is a kind of dynamical system that generalises the idea of a circle rotation. The phase space consists of the unit interval, and the transformation acts by cutting the interval into several subintervals, and then permuting these subintervals.
Read more about Interval Exchange Transformation: Formal Definition, Properties, Generalizations
Famous quotes containing the words interval and/or exchange:
“[I have] been in love with one princess or another almost all my life, and I hope I shall go on so, till I die, being firmly persuaded, that if ever I do a mean action, it must be in some interval betwixt one passion and another.”
—Laurence Sterne (1713–1768)
“So long as the law considers all these human beings, with beating hearts and living affections, only as so many things belonging to the master—so long as the failure, or misfortune, or imprudence, or death of the kindest owner, may cause them any day to exchange a life of kind protection and indulgence for one of hopeless misery and toil—so long it is impossible to make anything beautiful or desirable in the best-regulated administration of slavery.”
—Harriet Beecher Stowe (1811–1896)