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:

    What I expect from my male friends is that they are polite and clean. What I expect from my female friends is unconditional love, the ability to finish my sentences for me when I am sobbing, a complete and total willingness to pour their hearts out to me, and the ability to tell me why the meat thermometer isn’t supposed to touch the bone.
    Anna Quindlen (20th century)

    Make the most of your regrets; never smother your sorrow, but tend and cherish it till it come to have a separate and integral interest. To regret deeply is to live afresh.
    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)