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)

    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)

    Between religion’s “this is” and poetry’s “but suppose this is,” there must always be some kind of tension, until the possible and the actual meet at infinity.
    Northrop Frye (b. 1912)