Other
Types of Asymptotic Notations in Complexity Analysis of Algorithms,
- Course
- Institution
Through this note I've covered Types of Asymptotic Notations in Complexity Analysis of Algorithms.
[Show more]
Seller
Follow
sayandiphalder4
Content preview
Types of Asymptotic Notations inComplexity Analysis of Algorithms
Asymptotic Notation is a way of comparing function that ignores constant
factors and small input sizes.
For example: In bubble sort, when the input array is already sorted, the time taken by the algorithm is
linear i.e. the best case.
There are mainly three asymptotic notations:
1. Big-O Notation (O-notation)
2. Omega Notation (Ω-notation)
3. Theta Notation (Θ-notation)
Big-O Notation (O-notation)
Big-O notation represents the upper bound of the running time of an algorithm. Thus, it gives
the worst-case complexity of an algorithm.
If f(n) describes the running time of an algorithm, f(n) is O(g(n)) if there exist a positive
constant C and n0 such that, 0 ≤ f(n) ≤ cg(n) for all n ≥ n0
Omega Notation (Ω-notation)
Omega notation represents the lower bound of the running time of an algorithm. Thus, it
provides the best case complexity of an algorithm.
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller sayandiphalder4. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $3.49. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
75632 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now