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:

    “No man, said Birkin, cuts another man’s throat unless he wants to cut it, and unless the other man wants it cutting. This is a complete truth. It takes two people to make a murder: a murderer and a murderee.... And a man who is murderable is a man who has in a profound if hidden lust desires to be murdered.”
    —D.H. (David Herbert)

    “... 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)

    “It is vain to expect virtue from women till they are, in some degree, independent of men ... Whilst they are absolutely dependent on their husbands they will be cunning, mean, and selfish, and the men who can be gratified by the fawning fondness of spaniel-like affection, have not much delicacy, for love is not to be bought, in any sense of the words, its silken wings are instantly shrivelled up when any thing beside a return in kind is sought.”
    —Mary Wollstonecraft (1759–1797)