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:

    A man willing to work, and unable to find work, is perhaps the saddest sight that fortune’s inequality exhibits under this sun.
    Thomas Carlyle (1795–1881)

    ‘Tis no extravagant arithmetic to say, that for every ten jokes,—thou hast got an hundred enemies; and till thou hast gone on, and raised a swarm of wasps about thine ears, and art half stung to death by them, thou wilt never be convinced it is so.
    Laurence Sterne (1713–1768)

    In mathematics he was greater
    Than Tycho Brahe, or Erra Pater:
    For he, by geometric scale,
    Could take the size of pots of ale;
    Resolve, by sines and tangents straight,
    If bread and butter wanted weight;
    And wisely tell what hour o’ th’ day
    The clock doth strike, by algebra.
    Samuel Butler (1612–1680)

    I by no means rank poetry high in the scale of intelligence—this may look like affectation but it is my real opinion. It is the lava of the imagination whose eruption prevents an earthquake.
    George Gordon Noel Byron (1788–1824)

    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)