Question

Explain what it means for a function to be Ω(1).

Short answer

Ω(1) means │f(x)│≥M, whenever x>k and the function is bounded below from constant M.

Step-by-step solution

Step 1

By the definition of Big-Omega notation, we can say │f(x)│≥M│g(x)│, whenever x>k for some positive real number k. Here we have g(x)=1

Step 2

So there exist a positive real number M and a real number k ∋

│f(x)│≥ M│g(x)│, whenever x>k.

From this we will conclude, │f(x)│≥M, whenever x>k.

Hence the function is bounded below from constant M.

Final answer

Ω(1) means │f(x)│≥M, whenever x>k and the function is bounded below from constant M.