Elliptic Integral - Complete Elliptic Integral of The Third Kind

The complete elliptic integral of the third kind Π can be defined as

Note that sometimes the elliptic integral of the third kind is defined with an inverse sign for the characteristic n,

Read more about this topic:  Elliptic Integral

Famous quotes containing the words complete, integral and/or kind:

    Much that is urged on us new parents is useless, because we didn’t really choose it. It was pushed on us. It—whether it be Raffi videos, French lessons, or the complete works of Brazelton—might be just right for you and your particular child. But it is only right when you feel that it is. You know your family best; you decide.
    Sonia Taitz (20th century)

    Painting myself for others, I have painted my inward self with colors clearer than my original ones. I have no more made my book than my book has made me—a book consubstantial with its author, concerned with my own self, an integral part of my life; not concerned with some third-hand, extraneous purpose, like all other books.
    Michel de Montaigne (1533–1592)

    After all anybody is as their land and air is. Anybody is as the sky is low or high. Anybody is as there is wind or no wind there. That is what makes a people, makes their kind of looks, their kind of thinking, their subtlety and their stupidity, and their eating and their drinking and their language.
    Gertrude Stein (1874–1946)