AlgoScope

Big Omega

AnalysisintermediateAsymptotic Notation

A lower bound; the cost is at least a constant times the reference for large n.

Decision · step 2 of 10Complexity in Numbers: 3n + 5 is Theta(n)
12345678f(n)n4n81✓4×

n = 1: f = 8, between n = 1 and 4n = 4? The lower bound holds, 8 >= 1. The upper bound fails, 8 > 4: the constant 5 still dominates. Big O only promises the bound for large n.

Open in the player →or start at step 2

What you will see

The measured curve stays above the reference.

How complexity in numbers works →

Cost

SpaceO(1)

How you work with it here

explore, compare two runs, run it on your own input.

Screen readers: Growth curves are described in words and as a table of operation counts for sample input sizes; each concept has a one-sentence spoken definition.

Reduced motion: Curves and counters update without animation.

Before this