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:

    The moon is door. It is a face in its own right,
    White as a knuckle and terribly upset.
    It drags the sea after it like a dark crime; it is quiet
    With the O-gape of complete despair.
    Sylvia Plath (1932–1963)

    ... no one who has not been an integral part of a slaveholding community, can have any idea of its abominations.... even were slavery no curse to its victims, the exercise of arbitrary power works such fearful ruin upon the hearts of slaveholders, that I should feel impelled to labor and pray for its overthrow with my last energies and latest breath.
    Angelina Grimké (1805–1879)

    This hard work will always be done by one kind of man; not by scheming speculators, nor by soldiers, nor professors, nor readers of Tennyson; but by men of endurance—deep-chested, long- winded, tough, slow and sure, and timely.
    Ralph Waldo Emerson (1803–1882)