Define big theta notation, Data Structure & Algorithms

Define Big Theta notation

Big Theta notation (θ): The upper and lower bound for the function 'f' is given by the big oh notation (θ). Considering 'g' to be a function from the non-negative integers to the positive real numbers, we describe θ(g) as the set of function f  such that  for some real constant c1 and c2 >0 and some non negative integers constant n0 , c1g(n)≤f f(n)≤c2g(n) for all n≥n0.  Mathematically, θ(g(n))={f(n): there exists positive constants c1 and c2 like that c1g(n)≤f f(n)≤c2g(n) for all n, n≥n0} , we say "f is oh of g"

 

Posted Date: 5/10/2013 3:12:47 AM | Location : United States







Related Discussions:- Define big theta notation, Assignment Help, Ask Question on Define big theta notation, Get Answer, Expert's Help, Define big theta notation Discussions

Write discussion on Define big theta notation
Your posts are moderated
Related Questions
1)      Why space complexity is comparatively more critical than time complexity? 2)      Determine the space complexity of Euclid Algorithm?

Each data record contains a fixed place in a relative file. Each record ought to have associated with it in integer key value which will help identify this slot. Therefore, this ke

(a) Explain the term Group Support System and elaborate on how it can improve groupwork. (b) Briefly explain three advantages of simulation. (c) Explain with the help of a

Example: Assume the following of code: x = 4y + 3 z = z + 1 p = 1 As we have been seen, x, y, z and p are all scalar variables & the running time is constant irrespective

We have discussed that the above Dijkstra's single source shortest-path algorithm works for graphs along with non-negative edges (like road networks). Given two scenarios can emerg

SPARSE MATRICES Matrices along with good number of zero entries are called sparse matrices. Refer the following matrices of Figure (a)

In the amortized analysis, the time needed to perform a set of operations is the average of all operations performed. Amortized analysis considers as a long sequence of operations

Post order traversal: The children of node are visited before the node itself; the root is visited last. Each node is visited after its descendents are visited. Algorithm fo

What are the properties of an algorithsm?

Q. Explain the complexity of an algorithm?  What are the worst case analysis and best case analysis explain with an example.