Multiplicative Functions
From any additive function f(n) it is easy to create a related multiplicative function g(n) i.e. with the property that whenever a and b are coprime we have:
- g(ab) = g(a) × g(b).
One such example is g(n) = 2f(n).
Read more about this topic: Additive Function
Famous quotes containing the word functions:
“Mark the babe
Not long accustomed to this breathing world;
One that hath barely learned to shape a smile,
Though yet irrational of soul, to grasp
With tiny fingerto let fall a tear;
And, as the heavy cloud of sleep dissolves,
To stretch his limbs, bemocking, as might seem,
The outward functions of intelligent man.”
—William Wordsworth (17701850)