Liouville Number - Liouville Constant

Liouville Constant

The number

c = \sum_{j=1}^\infty 10^{-j!} = 0.110001000000000000000001000\ldots

is known as Liouville's constant. Liouville's constant is a Liouville number; if we define pn and qn as follows:

then we have for all positive integers n

Read more about this topic:  Liouville Number

Famous quotes containing the word constant:

    “Mr. Clarke played the King all evening as though under constant fear that someone else was about to play the Ace.”
    —Eugene Field (1850–1895)