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:
“Fate forces its way to the powerful and violent. With subservient obedience it will assume for years dependency on one individual: Caesar, Alexander, Napoleon, because it loves the elemental human being who grows to resemble it, the intangible element. Sometimes, and these are the most astonishing moments in world history, the thread of fate falls into the hands of a complete nobody but only for a twitching minute.”
—Stefan Zweig (18811942)
“An island always pleases my imagination, even the smallest, as a small continent and integral portion of the globe. I have a fancy for building my hut on one. Even a bare, grassy isle, which I can see entirely over at a glance, has some undefined and mysterious charm for me.”
—Henry David Thoreau (18171862)
“There is no kind of herb, but somebody or other says that it is good. I am very glad to hear it. It reminds me of the first chapter of Genesis. But how should they know that it is good? That is the mystery to me. I am always agreeably disappointed; it is incredible that they should have found it out.”
—Henry David Thoreau (18171862)