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  1. 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 …

  2. 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.

  3. 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...

  4. 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 …

  5. 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 …

  6. 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 …

  7. 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 …

  8. Are "of the order of n" and "Big O" the same thing?

    May 15, 2019 · I think that definition 2 of the dictionary you link is closer to the truth, i.e. two functions with the same asymptotic behaviour need not be numerically similar, but are similar in another sense …

  9. 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.

  10. Arrange in increasing order of asymptotic complexity

    Oct 6, 2020 · Arrange in increasing order of asymptotic complexity Ask Question Asked 5 years, 1 month ago Modified 5 years, 1 month ago