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:
“In the reproof of chance
Lies the true proof of men.”
—William Shakespeare (15641616)
“The chief contribution of Protestantism to human thought is its massive proof that God is a bore.”
—H.L. (Henry Lewis)
“Through a series of gradual power losses, the modern parent is in danger of losing sight of her own child, as well as her own vision and style. Its a very big price to pay emotionally. Too bad its often accompanied by an equally huge price financially.”
—Sonia Taitz (20th century)
“Struggle is the father of all things.... It is not by the principles of humanity that man lives or is able to preserve himself above the animal world, but solely by means of the most brutal struggle.”
—Adolf Hitler (18891945)
“All the aspects of this desert are beautiful, whether you behold it in fair weather or foul, or when the sun is just breaking out after a storm, and shining on its moist surface in the distance, it is so white, and pure, and level, and each slight inequality and track is so distinctly revealed; and when your eyes slide off this, they fall on the ocean.”
—Henry David Thoreau (18171862)