The Power Set on a finite set S, denoted P(S), has 2^{|S|} elements. Similarly enough, Sum_{i}^{n} C(n, i) = 2^{n}...
I came across
this thread today, where the OP was attempting to solve a problem regarding counting divisors. Here, the use of a multiplicative function provided means to optimize when counting divisors for larger numbers.
First, let's define two terms- multiplicative and completely multiplicative. A multiplicative function
f...