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 main reason why men and women make different aesthetic judgments is the fact that the latter, generally incapable of abstraction, only admire what meets their complete approval.
    Franz Grillparzer (1791–1872)

    An island always pleases my imagination, even the smallest, as a small continent and integral portion of the globe. I have a fancy for building my hut on one. Even a bare, grassy isle, which I can see entirely over at a glance, has some undefined and mysterious charm for me.
    Henry David Thoreau (1817–1862)

    Who does not know that kings and rulers sprang from men who were ignorant of God, who assumed because of blind greed and intolerable presumption to make themselves masters of other men, their equals, by means of pride, violence, bad faith, murder, and almost every other kind of crime? Surely the devil drove them on.
    Pope Gregory VII (c. 1020–1085)