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:

    I am black: I am the incarnation of a complete fusion with the world, an intuitive understanding of the earth, an abandonment of my ego in the heart of the cosmos, and no white man, no matter how intelligent he may be, can ever understand Louis Armstrong and the music of the Congo.
    Frantz Fanon (1925–1961)

    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)

    However strongly they resist it, our kids have to learn that as adults we need the companionship and love of other adults. The more direct we are about our needs, the easier it may be for our children to accept those needs. Their jealousy may come from a fear that if we adults love each other we might not have any left for them. We have to let them know that it’s a different kind of love.
    —Ruth Davidson Bell. Ourselves and Our Children, by Boston Women’s Health Book Collective, ch. 3 (1978)