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:

    Nature is unfair? So much the better, inequality is the only bearable thing, the monotony of equality can only lead us to boredom.
    Francis Picabia (1878–1953)

    I hope I may claim in the present work to have made it probable that the laws of arithmetic are analytic judgments and consequently a priori. Arithmetic thus becomes simply a development of logic, and every proposition of arithmetic a law of logic, albeit a derivative one. To apply arithmetic in the physical sciences is to bring logic to bear on observed facts; calculation becomes deduction.
    Gottlob Frege (1848–1925)

    New York ... is a city of geometric heights, a petrified desert of grids and lattices, an inferno of greenish abstraction under a flat sky, a real Metropolis from which man is absent by his very accumulation.
    Roland Barthes (1915–1980)

    Why are you going?
    Because nothing means much to me anymore.
    Why are you going?
    I don’t know. I have never known.
    Mark Strand (b. 1934)

    I do not think that a Physician should be admitted into the College till he could bring proofs of his having cured, in his own person, at least four incurable distempers.
    Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)