Example of asymptotic notations, Computer Engineering

Assignment Help:

Q. Example of asymptotic notations?

The function f (n) belongs to the set  (g(n)) if there exists positive constants c such that for satisfactorily large values of n we have 0<= c*g(n) <=f(n). In another words,

  O(g(n)) ={ 0<= c*g(n) <=f(n) for all n >= no }.    

Assume we have a function f (n) = 4n2 + n then order of function is O(n2). The asymptotic notations give information about the upper and lower bounds on complexity of an algorithm with help of O and ? notations. E.g. in the sorting algorithm the upper bound is O (n ln n) and lower bound is ? (n ln n). But problems such as matrix multiplication have complexities such as O (n3) to O (n2.38).

Algorithms that have similar lower and upper bounds are called optimal algorithms. So a few sorting algorithms are optimal whereas matrix multiplication based algorithms are not.


Related Discussions:- Example of asymptotic notations

Calculate width and height of the grid, Given a cell, we must determine its...

Given a cell, we must determine its neighbouring cells i.e. those with which it shares a wall. The cells with an x are the neighbours of the cell c. Write the function getneighbour

What is a virtual address, Q. What is a virtual address? Von Neumann ha...

Q. What is a virtual address? Von Neumann had suggested that execution of a program is possible only if program and data are residing in memory. In such a condition program len

Define time sharing, Define Time Sharing. Time Sharing: Sharing of ...

Define Time Sharing. Time Sharing: Sharing of a computing resource among various users by means of multiprogramming and multi-tasking is termed as timesharing. By permittin

Define the concept of typing of object oriented analysis, Define the concep...

Define the concept of Typing of object oriented analysis Typing enforces object class such that objects of different classes cannot be interchanged.  Or we can say that, class

What are the main advantages of sound, Problem: (a) What are the two m...

Problem: (a) What are the two main advantages of sound? (b) UTMDigitlab ltd, specialized in digitizing sound, converts an audio stream of the latest album of Britney Spea

Parallel edge or self loop of the total number of edges, A graph with n ver...

A graph with n vertices will definitely have a parallel edge or self loop of the total number of edges are More than n(n-1)/2

Difference between the functions unlink and unset?, Unlink() is a function ...

Unlink() is a function for file system handling. It will easily delete the file in context.   Unset() is a function for variable management. It will create a variable undefin

Ldb need not be defined in the abap/4 dictionary, All nodes in the structur...

All nodes in the structure of LDB need not be defined in the ABAP/4 Dictionary False. One has to describe all nodes in the Dictionary or single has to select all nodes that a

What is machine language, What is Machine Language? To write program fo...

What is Machine Language? To write program for a computer we need to specify, directly or indirectly the sequence of machine instructions.  These instructions  inside  computer

Artificial intelligence, Artificial intelligence ( AL) is a field of scien...

Artificial intelligence ( AL) is a field of science and technology based on disciplines such as computer science biology psychology linguistics mathematics and engineering. The g

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