Proof of Power Means Inequality
We will prove weighted power means inequality, for the purpose of the proof we will assume without loss of generality that:
and
Proof for unweighted power means is easily obtained by substituting .
Read more about this topic: Generalized Mean
Famous quotes containing the words proof of, proof, power, means and/or inequality:
“The thing with Catholicism, the same as all religions, is that it teaches what should be, which seems rather incorrect. This is “what should be.” Now, if you’re taught to live up to a “what should be” that never existed—only an occult superstition, no proof of this “should be”Mthen you can sit on a jury and indict easily, you can cast the first stone, you can burn Adolf Eichmann, like that!”
—Lenny Bruce (1925–1966)
“The chief contribution of Protestantism to human thought is its massive proof that God is a bore.”
—H.L. (Henry Lewis)
“You are evil. But even the power of evil cannot stand against the power of faith and goodness.”
—Griffin Jay, and Randall Faye. Lew Landers. Lady Jane Ainsley (Frieda Inescort)
“Man seeks to escape himself in myth, and does so by any means at his disposal. Drugs, alcohol, or lies. Unable to withdraw into himself, he disguises himself. Lies and inaccuracy give him a few moments of comfort.”
—Jean Cocteau (1889–1963)
“A man willing to work, and unable to find work, is perhaps the saddest sight that fortune’s inequality exhibits under this sun.”
—Thomas Carlyle (1795–1881)