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:
“Although those notes, in conformity with custom, come after the poem, the reader is advised to consult them first and then study the poem with their help, rereading them of course as he goes through its text, and perhaps after having done with the poem consulting them a third time so as to complete the picture.”
—Vladimir Nabokov (1899–1977)
“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)
“Take it all around, I was feeling ruther comfortable, on accounts of taking all this trouble for that gang, for not many would a done it. I wished the widow knowed about it. I judged she would be proud of me for helping these rapscallions, because rapscallions and dead beats is the kind the widow and good people takes the most interest in.”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)