Difference between Big-Omega Ω and Little-Omega ω notation
Parameters | Big-Omega Ω Notation | Little-Omega ω Notation |
---|---|---|
Description | Big-Omega (Ω) describes the tight lower bound notation. | Little-Omega(ω) describes the loose lower bound notation. |
Formal Definition | Given two functions g(n) and f(n), we say that f(n) = Ω(g(n)), if there exists constants c > 0 and n0 >= 0 such that f(n) >= c*g(n) for all n >= n0. | Given two functions g(n) and f(n), we say that f(n) = ω(g(n)), if there exists constants c > 0 and n0 >= 0 such that f(n) > c*g(n) for all n >= n0. |
Representation | f(n) = ω(g(n)) represents that f(n) grows strictly faster than g(n) asymptotically. | f(n) = Ω(g(n)) represents that f(n) grows at least as fast as g(n) asymptotically. |
Analysis of Algorithms | Big-Omega Ω Notation
In the analysis of algorithms, asymptotic notations are used to evaluate the performance of an algorithm, in its best cases and worst cases. This article will discuss Big-Omega Notation represented by a Greek letter (Ω).
Table of Content
- What is Big-Omega Ω Notation?
- Definition of Big-Omega Ω Notation?
- How to Determine Big-Omega Ω Notation?
- Example of Big-Omega Ω Notation
- When to use Big-Omega Ω notation?
- Difference between Big-Omega Ω and Little-Omega ω notation
- Frequently Asked Questions about Big-Omega Ω notation
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