Inequality of Arithmetic and Geometric Means/proofs of The Am%e2%80%93gm Inequality

Famous quotes containing the words inequality, arithmetic, geometric, means and/or proofs:

    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 (1817–1862)

    Under the dominion of an idea, which possesses the minds of multitudes, as civil freedom, or the religious sentiment, the power of persons are no longer subjects of calculation. A nation of men unanimously bent on freedom, or conquest, can easily confound the arithmetic of statists, and achieve extravagant actions, out of all proportion to their means; as, the Greeks, the Saracens, the Swiss, the Americans, and the French have done.
    Ralph Waldo Emerson (1803–1882)

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    Roland Barthes (1915–1980)

    Who does not know that kings and rulers sprang from men who were ignorant of God, who assumed because of blind greed and intolerable presumption to make themselves masters of other men, their equals, by means of pride, violence, bad faith, murder, and almost every other kind of crime? Surely the devil drove them on.
    Pope Gregory VII (c. 1020–1085)

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    Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)