Sorting functions by asymptotic growth Ask Question Asked 13 years, 8 months ago Modified 6 years ago

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 …

For non-decreasing sequences of naturals, every infinite subsequence has the same asymptotic growth as the original sequence.

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.

I thought they were nearly equal in terms on asymptotic growth? Our teacher asked us to indicate when 2 functions were asymptotically equal.

Use a recursion tree to determine a good asymptotic upper bound on the recurrence $T (n) = 4T (n/2 + 2) + n$. Use the substitution method to verify your answer.

Over here, Dave Clarke proposed that in order to compare asymptotic growth you should plot the functions at hand. As a theoretically inclined computer scientist, I call(ed) this vodoo as a plot is ...

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 …

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.

In a sense, the multiple solutions are how you know it's "right". You/we are starting to get into the more theoretical science, where you believe that you have a model which explains phenomena. For …