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:

    As to a thorough eradication of prostitution, nothing can accomplish that save a complete transvaluation of all accepted values—especially the moral ones—coupled with the abolition of industrial slavery.
    Emma Goldman (1869–1940)

    ... no one who has not been an integral part of a slaveholding community, can have any idea of its abominations.... even were slavery no curse to its victims, the exercise of arbitrary power works such fearful ruin upon the hearts of slaveholders, that I should feel impelled to labor and pray for its overthrow with my last energies and latest breath.
    Angelina Grimké (1805–1879)

    Abused as we abuse it at present, dramatic art is in no sense cathartic; it is merely a form of emotional masturbation.... It is the rarest thing to find a player who has not had his character affected for the worse by the practice of his profession. Nobody can make a habit of self-exhibition, nobody can exploit his personality for the sake of exercising a kind of hypnotic power over others, and remain untouched by the process.
    Aldous Huxley (1894–1963)