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)
“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 (18171862)
“The indications are that swearing preceded the development of cursing. That is, expletives, maledictions, exclamations, and imprecations of the immediately explosive or vituperative kind preceded the speechmaking and later rituals involved in the deliberate apportioning of the fate of an enemy. Swearing of the former variety is from the lips only, but the latter is from the heart. Damn it! is not that same as Damn you!”
—Ashley Montagu (b. 1905)