Finite Fields
The Lagrange polynomial can also be computed in finite fields. This has applications in cryptography, such as in Shamir's Secret Sharing scheme.
Read more about this topic: Lagrange Polynomial
Famous quotes containing the words finite and/or fields:
“We know then the existence and nature of the finite, because we also are finite and have extension. We know the existence of the infinite and are ignorant of its nature, because it has extension like us, but not limits like us. But we know neither the existence nor the nature of God, because he has neither extension nor limits.”
—Blaise Pascal (1623–1662)
“It would not be an easy thing to bring the water all the way to the plain. They would have to organize a great coumbite with all the peasants and the water would unite them once again, its fresh breath would clear away the fetid stink of anger and hatred; the brotherly community would be reborn with new plants, the fields filled with to bursting with fruits and grains, the earth gorged with life, simple and fertile.”
—Jacques Roumain (1907–1945)