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  1. algorithm - What does O (log n) mean exactly? - Stack Overflow

    Feb 22, 2010 · You can think of O (1), O (n), O (logn), etc as classes or categories of growth. Some categories will take more time to do than others. These categories help give us a way of ordering the …

  2. Examples of Algorithms which has O (1), O (n log n) and O (log n ...

    Oct 20, 2009 · O (1) - most cooking procedures are O (1), that is, it takes a constant amount of time even if there are more people to cook for (to a degree, because you could run out of space in your …

  3. Difference between O(logn) and O(nlogn) - Stack Overflow

    Mar 16, 2020 · I am preparing for software development interviews, I always faced the problem in distinguishing the difference between O(logn) and O(nLogn). Can anyone explain me with some …

  4. What is O (log (n!)), O (n!), and Stirling's approximation?

    Jul 19, 2022 · By Stirling's approximation, log(n!) = n log(n) - n + O(log(n)) For large n, the right side is dominated by the term n log (n). That implies that O (log (n!)) = O (n log (n)). More formally, one …

  5. algorithm - Is log (n!) = Θ (n·log (n))? - Stack Overflow

    @Z3d4s the what steps 7-8 conversion is saying that n logn == log (n^n) and for showing the bound here you can say the first term is always greater than the second term you can check for any larger …

  6. Difference between O(n) and O(log(n)) - which is better and what ...

    Apr 29, 2012 · For the short answer, O (log n) is better than O (n) Now what exactly is O ( log n) ? Generally, when referring to big O notation, log n refers to the base-2 logarithm, (same way ln …

  7. Why is $\log (n!)$ $O (n\log n)$? - Mathematics Stack Exchange

    The obvious inequalities $ (n/2)^ {n/2} \leq n! \leq n^n$ suffice to prove $\Theta (n \log n)$.

  8. notation - What is the difference between $\log^2 (n)$, $\log (n)^2 ...

    Jan 8, 2016 · Log^2 (n) means that it's proportional to the log of the log for a problem of size n. Log (n)^2 means that it's proportional to the square of the log.

  9. (log(n))^log(n) and n/log(n), which is faster? - Stack Overflow

    Feb 9, 2016 · Short answer: Yes. Longer answer, run a profiler on the code. big-o is not usable for actual performance measurements, only for "what happens if N grows towards infinity" type of …

  10. discrete mathematics - (logn)^ (logn) = n^ (log10+logn). WHY ...

    Jan 15, 2018 · I don't understand why logn is equivalent to b^log (logn (n)). Can you illustrate it on answer?