Jan 21, 2010 · I am learning algorithm analysis. I am having trouble understanding the difference between O, Ω, and Θ. The way they're defined is as follows: f(n) = O(g(n)) means c · g(n) is an …

Jul 27, 2019 · Θ-notation (theta notation) is called tight-bound because it's more precise than O-notation and Ω-notation (omega notation). If I were lazy, I could say that binary search on a …

May 11, 2021 · I didn't understand your qustion. do you need an example of two function f, g that f(n) = o(g(n)) and f(n) ≠ Ɵ(g(n))?

Jan 22, 2009 · There's a simple way (a trick, I guess) to remember which notation means what. All of the Big-O notations can be considered to have a bar. When looking at a Ω, the bar is at the …

Mar 14, 2013 · It is important to distinguish between the case and the bound. Best, average, and worst are common cases of interest when analyzing algorithms. Upper (O, o) and lower …

To directly answer your question: Your sorting algorithm is technically not O (n) but rather O (n + max), since you need to create an array of size max, which takes O (max) time. This isn't a …

What exactly are Upper/Lower bounds? We are interested in bounds of functions, as you can read in Wikipedia. Moreover, a part of this answer mentions: For a function f(n), g(n) is an upper …

Feb 16, 2015 · I was asked to prove or disprove the following conjecture: n^2 = Ω(nlogn) This one feels like it should be very easy, and intuitively it seems to me that because Ω is a lower bound …

Sep 5, 2023 · I watch a video about Fourier Transform and in the Fourier Transform plot of the funciton cos(2x) the hike should be at ω=-2 and ω=2, but why mine is different: this is the …

Jul 15, 2022 · These concepts can be quite confusing. O, Ω and Θ aren't actually tied to worst, best and average time complexities. They just describe relations between functions, or …