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:
“Silence is to all creatures thus attacked the only means of salvation; it fatigues the Cossack charges of the envious, the enemys savage ruses; it results in a cruising and complete victory.”
—Honoré De Balzac (17991850)
“Painting myself for others, I have painted my inward self with colors clearer than my original ones. I have no more made my book than my book has made mea book consubstantial with its author, concerned with my own self, an integral part of my life; not concerned with some third-hand, extraneous purpose, like all other books.”
—Michel de Montaigne (15331592)
“See the kind seed-receiving earth
To every grain affords a birth:
On her no showers unwelcome fall,
Her willing womb retains em all,
And shall my Caelia be confined?
No, live up to thy mighty mind,
And be the mistress of Mankind!”
—John Wilmot, 2d Earl Of Rochester (16471680)