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:

    In Stamps the segregation was so complete that most Black children didn’t really, absolutely know what whites looked like.
    Maya Angelou (b. 1928)

    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)

    This man was very clever and quick to learn anything in his line. Our tent was of a kind new to him; but when he had once seen it pitched, it was surprising how quickly he would find and prepare the pole and forked stakes to pitch it with, cutting and placing them right the first time, though I am sure that the majority of white men would have blundered several times.
    Henry David Thoreau (1817–1862)