What is the difference between a tight Big $O$ bound, a tight Big ...
Jan 25, 2018 · I occasionally see these terms used and I'm not really sure what is meant by all of them. Is it possible for an asymptotic bound that is not Big $\\Theta$ bound to be "tight"? What does it …
How do O and Ω relate to worst and best case?
The key takeaway for me is that, we can do worst-, best- case analysis on anything of the asymptotic bounded functions. To me, that shows the independence of Big O vs. worst case analysis. Thanks!
When is a bound asymptotically tight? - Computer Science Stack …
What does it mean that the bound $2n^2 = O(n^2)$ is asymptotically tight while $2n = O(n^2)$ is not? We use the o-notation to denote an upper bound that is not asymptotically tight. The definitions...
Confusion about asymptotic notations in math and computer science
Nov 27, 2022 · The last times i was searching a lot to understanding Big O notation or in general asymptotic notations concepts because i didnt hear about it or them before starting studying in …
Explaining the relevance of asymptotic complexity of algorithms to ...
In short asymptotic complexity is a relatively easy to compute approximation of actual complexity of algorithms for simple basic tasks (problems in a algorithms textbook). As we build more complicated …
What is an asymptotically tight upper bound?
Dec 20, 2013 · From what I have learned asymptotically tight bound means that it is bound from above and below as in theta notation. But what does asymptotically tight upper bound mean for Big-O …
What is the asymptotic runtime of this nested loop? [duplicate]
What is the asymptotic runtime of this nested loop? [duplicate] Ask Question Asked 12 years, 2 months ago Modified 11 years, 8 months ago
Which grows asymptotically faster, $\log \sqrt {n}$ or $4 \log n$?
Mar 1, 2021 · The asymptotic growth of $4 \log n$ is referred to as $\Theta (\log n)$. You will have to look at the definition of asymptotic growth to see why that is the case, but intuitively, it is the growth …
asymptotics - Solving or approximating recurrence relations for ...
For non-decreasing sequences of naturals, every infinite subsequence has the same asymptotic growth as the original sequence.
Asymptotic equivalence allows difference by a constant factor ...
Aug 31, 2023 · @YvesDaoust Well, I suppose I'm still looking for definitions, but I thought asymptotic behavior was commonly considered equivalent if both functions differ by no more than a constant factor.