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

What is exact and approximation algorithm, What is Exact and Approximation ...

What is Exact and Approximation algorithm? The principal decision to choose solving the problem exactly is called exact algorithm. The   principal decision to choose solving th

What is scenarios, Scenarios encapsulate the Vuser Groups and scripts to be...

Scenarios encapsulate the Vuser Groups and scripts to be implemented on load generators at run-time. Manual scenarios can deal out the total number of Vusers between scripts bas

Keyboard status word generator, Q.  Write short note on Interfacing Keyboar...

Q.  Write short note on Interfacing Keyboard, giving block diagram. Why do we need to introduce circuitry called Keyboard Status Word Generator?

Determine by which digits are represented in dtmf phone, In a DTMF phone, d...

In a DTMF phone, digits are represented by: (A)  Orthogonal frequencies. (B)  Orthogonal Phases. (C)  Orthogonal codes. (D)  Orthogonal pulses. Ans: Di

Define the node of object oriented modeling, Define the node of object orie...

Define the node of object oriented modeling A node is a physical element which exists at runtime and represents a computational resource usually having a large memory and often

Write an awk program - unix , Write an AWK program which takes the followin...

Write an AWK program which takes the following input file and processes it. $cat data.txt John Do 111-1111 English 90 Maths 80 Alice Do 222-2222 English 90 Maths 90 Chemistry 93

Explain the use of functions in parallel programming, Q. Explain the Use of...

Q. Explain the Use of functions in parallel programming? include "pvm3.h" main() {    int cc, tid, msgtag;    char buf[100];    printf("%x\n", pvm_mytid());

What is said to be side effect, What is said to be side effect? When a ...

What is said to be side effect? When a location other than one explicitly named in an instruction as a destination operand is affected, the instruction is said to have a side e

Applications of parallel processing, Applications Of Parallel Processing ...

Applications Of Parallel Processing Parallel computing is an development of serial computing that effort to emulate what has always been the affirm of affairs in the natural wo

Illustrate about first generation computers, Q. Illustrate about First Gene...

Q. Illustrate about First Generation Computers? It is certainly ironic that scientific inventions of great impact have frequently been linked with supporting a very sad as well

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