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)

    Self-centeredness is a natural outgrowth of one of the toddler’s major concerns: What is me and what is mine...? This is why most toddlers are incapable of sharing ... to a toddler, what’s his is what he can get his hands on.... When something is taken away from him, he feels as though a piece of him—an integral piece—is being torn from him.
    Lawrence Balter (20th century)

    See the kind seed-receiving earth
    To every grain affords a birth:
    On her no showers unwelcome fall,
    Her willing womb retains ‘em all,
    And shall my Caelia be confined?
    No, live up to thy mighty mind,
    And be the mistress of Mankind!
    John Wilmot, 2d Earl Of Rochester (1647–1680)