Partial Sums
The nth partial sum of the diverging harmonic series,
is called the nth harmonic number.
The difference between the nth harmonic number and the natural logarithm of n converges to the Euler–Mascheroni constant.
The difference between distinct harmonic numbers is never an integer.
No harmonic numbers are integers, except for n = 1.
Read more about this topic: Harmonic Series (mathematics)
Famous quotes containing the words partial and/or sums:
“America is hard to see.
Less partial witnesses than he
In book on book have testified
They could not see it from outside....”
—Robert Frost (1874–1963)
“At Timon’s villalet us pass a day,
Where all cry out,What sums are thrown away!’”
—Alexander Pope (1688–1744)