Inequality of Arithmetic and Geometric Means/proofs of The Am-gm 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)

    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)

    Insurrection—by means of guerrilla bands—is the true method of warfare for all nations desirous of emancipating themselves from a foreign yoke ... It is invincible, indestructible.
    Giuseppe Mazzini (1805–1872)

    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)