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)

    O! O! another stroke! that makes the third.
    He stabs me to the heart against my wish.
    If that be so, thy state of health is poor;
    But thine arithmetic is quite correct.
    —A.E. (Alfred Edward)

    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)

    Prosecutors insist they are mounting a “thorough investigation,” which sometimes means thorough and sometimes, historically, has meant long enough to let the fire burn down in an incendiary case. A thorough investigation is fine; an interminable one is disgraceful.
    Anna Quindlen (b. 1952)

    Trifles light as air
    Are to the jealous confirmation strong
    As proofs of holy writ.
    William Shakespeare (1564–1616)