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:
“The Good of man is the active exercise of his soul’s faculties in conformity with excellence or virtue.... Moreover this activity must occupy a complete lifetime; for one swallow does not make spring, nor does one fine day; and similarly one day or a brief period of happiness does not make a man supremely blessed and happy.”
—Aristotle (384–322 B.C.)
“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 (1817–1862)
“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)