Define big theta notation, Data Structure & Algorithms

Assignment Help:

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"

 


Related Discussions:- Define big theta notation

Stack, Explain in detail the algorithmic implementation of multiple stacks....

Explain in detail the algorithmic implementation of multiple stacks.

General, whats the definition of ADT and data type?

whats the definition of ADT and data type?

Representation of a polynomial with a singly linked list, List areutilized ...

List areutilized to maintainPOLYNOMIALS in the memory. For example, we have a functionf(x)= 7x 5 + 9x 4   - 6x³ + 3x². Figure depicts the representation of a Polynomial by means o

Matrices multiplication, Write an algorithm for multiplication of two spars...

Write an algorithm for multiplication of two sparse matrices using Linked Lists.

Splaying algorithm, Insertion & deletion of target key requires splaying of...

Insertion & deletion of target key requires splaying of the tree. In case of insertion, the tree is splayed to find the target. If, target key is found out, then we have a duplicat

Full binary trees, Full Binary Trees: A binary tree of height h that had 2...

Full Binary Trees: A binary tree of height h that had 2h -1 elements is called a Full Binary Tree. Complete Binary Trees: A binary tree whereby if the height is d, and all of

STACK, 5. Implement a stack (write pseudo-code for STACK-EMPTY, PUSH, and P...

5. Implement a stack (write pseudo-code for STACK-EMPTY, PUSH, and POP) using a singly linked list L. The operations PUSH and POP should still take O(1) time.

Explain the assertions in ruby, Explain the Assertions in Ruby Ruby off...

Explain the Assertions in Ruby Ruby offers no support for assertions whatever. Moreover, because it's weakly typed, Ruby doesn't even enforce rudimentary type checking on opera

Write a function that performs integer division, Write a function that perf...

Write a function that performs integer division. The function should take the large number in memory location 1 and divide it by the large number in memory location 2 disregarding

Two - way merge sort, Merge sort is also one of the 'divide & conquer' clas...

Merge sort is also one of the 'divide & conquer' classes of algorithms. The fundamental idea in it is to split the list in a number of sublists, sort each of these sublists & merge

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd