Notation | Meaning | Represents | Example |
---|---|---|---|

Big O (O) | Upper bound | Worst-case growth rate | O(n^{2}) – Quadratic time |

Omega (Ω) | Lower bound | Best-case growth rate | Ω(n) – Linear time |

Theta (Θ) | Tight bound | Asymptotically tight growth rate | Θ(n^{2}) – Quadratic time |

## Key points to note:

- Big O notation represents the maximum or worst-case growth rate of an algorithm.
- Omega notation represents the minimum or best-case growth rate of an algorithm.
- Theta notation represents the tight or asymptotically tight growth rate of an algorithm.
- Big O provides an upper bound, Omega provides a lower bound, and Theta provides both upper and lower bounds.
- Big O notation is commonly used to analyze and compare algorithms.
- Omega notation is less commonly used but can be helpful in understanding best-case scenarios.
- Theta notation is used when the upper and lower bounds of an algorithm match, providing a precise estimate of its complexity.