2010年1月21日 · Bubble sort for example is Θ(n) best case (because if the data is already sorted, only n-1 comparisons are needed), and Θ(n^2) worst case. It's Θ(n^2) average-case assuming randomly-shuffled input. That average case therefore is also O(n^2), and O(n^3), and O(2^n). So, O, Θ and Ω tell you what kind of bound it is.

2009年1月22日 · It's big θ! Generally, we say big O is O(n^2), hardly to say T(n)=O(n^3), T(n)=O(n^4). Why? Because we regard big O as big θ subconsciously. Similarly, we also regard big Ω as big θ subconsciously. In one word, big O, big θ and big Ω are not the same thing from the definitions, but they are the same thing in our mouth and brain.

2016年5月14日 · O(1) and Θ(1) aren't necessarily the same if you are talking about functions over real numbers. For example, consider the function f(n) = 1/n. This function is O(1) because for any n ≥ 1, f(n) ≤ 1.

Preguntas y respuestas para programadores y profesionales de la informática

2013年6月20日 · What is a plain English explanation of Theta notation? With as little formal definition as possible and simple mathematics. How theta notation is different from the Big O notation ? Could anyone e...

2015年5月25日 · Among all the notations ,ϴ notation gives the best intuition about the rate of growth of function because it gives us a tight bound unlike big-oh and big -omega which gives the upper and lower bounds respectively. ϴ tells us that g(n) is as close as f(n),rate of growth of g(n) is as close to the rate of growth of f(n) as possible.

2020年10月9日 · Big Theta notation (Θ) is an Asymptotic Notation, which denotes the Average Case Complexity of an algorithm. Popular Asymptotic Notation letters are: Ο (Big-O) – used to express worst case complexity scenario. Ω (Big Omega) – used to express best case complexity scenario. θ (Big Theta) – used to express average case complexity ...

2020年5月9日 · I know that if X denotes a text , p(X) denotes the language model of the text. And most often , we use maximum likelihood estimation to estimate the language model. But in many cases , I find a parameter $\theta$ used to represent a language model. I don't understand the meaning of this $\theta$ .

2019年7月27日 · 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 sorted array is O(n 2 ), O(n 3 ), and O(2 n ), and I would be technically correct in every case.

2018年9月6日 · So now we’re left this this final loop. Here, we see that the work done depends directly and linearly on n. Specifically, this loop does Θ(n) iterations and does Θ(1) work per iteration, and so the total work done is Θ(n). Notice that it’s not the number of for loops that determines the runtime, but rather what those loops are doing.