Sum - Growth Rates

Growth Rates

The following are useful approximations (using theta notation):

for real c greater than −1
(See Harmonic number)
for real c greater than 1
for non-negative real c
for non-negative real c, d
for non-negative real b > 1, c, d

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Famous quotes containing the words growth and/or rates:

    For the time of towns is tolled from the world by funereal chimes, but in nature the universal hours are counted by succeeding tribes of animals and plants, and by growth of joy on joy.
    Ralph Waldo Emerson (1803–1882)

    In the U.S. for instance, the value of a homemaker’s productive work has been imputed mostly when she was maimed or killed and insurance companies and/or the courts had to calculate the amount to pay her family in damages. Even at that, the rates were mostly pink collar and the big number was attributed to the husband’s pain and suffering.
    Gloria Steinem (20th century)