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  1. How do O and Ω relate to worst and best case?

    55 Landau notation denotes asymptotic bounds on functions. See here for an explanation of the differences among O O, Ω Ω and Θ Θ. Worst-, best-, average or you-name-it-case time …

  2. 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 …

  3. 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 …

  4. What is the difference between a tight Big $O$ bound, a tight Big ...

    Jan 25, 2018 · (The asymptotic complexity of the worst case is Θ(n) Θ (n), though) For more reading on bounds with Landau ('big O O ') notation, see the reference question How does …

  5. Big-O complexity of sqrt(n) - Computer Science Stack Exchange

    Sep 6, 2016 · It asks me to rank functions by asymptotic complexity and I want to understand how they should be reduced rather than just guessing. The question is to reduce this to big-O …

  6. Calculator for time complexity of recursive functions

    Jan 30, 2021 · Is there an online tool that returns the time complexity of recursion functions? For instance, when I enter T(n) = T(n/2) + n T (n) = T (n / 2) + n, I'd like to get Θ(n) Θ (n). I tried …

  7. What is the asymptotic runtime of this nested loop? [duplicate]

    What is the asymptotic runtime of this nested loop? [duplicate] Ask Question Asked 11 years, 9 months ago Modified 11 years, 3 months ago

  8. Big-O notation for Polynomial Time Complexity

    May 14, 2021 · Recently we had a quiz where one of the question were - Q: Asymptotic notation for polynomial : - 2^Ο(n) - Ο(n log n) - n^Ο(1) - None of these I know that Polynomial time …

  9. Confusion regarding Big-O definition with multiple variables

    Oct 10, 2024 · You'll need to complete a few actions and gain 15 reputation points before being able to upvote. Upvoting indicates when questions and answers are useful. What's reputation …

  10. Asymptotic relationship of logarithms in different bases

    In simple terms: Asymptotic notation ignores constant multiples. The second result we need is that logs to different bases are always going to be constant multiples of each other, namely loga x …