Experience modifier

The notation $\Omega ({\text{ }})\,\!$ has at least three meanings in mathematics:

• $f=\Omega (g)\,\!$ means that the function $f\,\!$ dominates $g\,\!$ in some limit, see Big O notation. In this context $\Omega$ is referred to as a lower bound.
• $\Omega (n)\,\!$ is the total number of prime factors of $n\,\!$, counting prime factors with multiplicity
• $\Omega (x)\,\!$ may refer to the Omega function, the inverse of $y=x\cdot e^{x}\,\!$, also known as the Lambert W function denoted $W(x)\,\!$.
  • $\omega (x)\,\!$, related to the Lambert W Function, is called the Wright Omega Function