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)
“I can exchange opinion with any neighbouring mind,
I have as healthy flesh and blood as any rhymer’s had,
But O! my Heart could bear no more when the upland caught the wind;
I ran, I ran, from my love’s side because my Heart went mad.”
—William Butler Yeats (1865–1939)