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:
“The yearning for an afterlife is the opposite of selfish: it is love and praise for the world that we are privileged, in this complex interval of light, to witness and experience.”
—John Updike (b. 1932)
“So long as the system of competition in the production and exchange of the means of life goes on, the degradation of the arts will go on; and if that system is to last for ever, then art is doomed, and will surely die; that is to say, civilization will die.”
—William Morris (1834–1896)