Techniques of representing polynomials using arrays, Data Structure & Algorithms

Assignment Help:

Q. Explain any three methods or techniques of representing polynomials using arrays. Write which method is most efficient or effective for representing the following polynomials.

 

8x100+10x+6

8x3-7x2+5x+15

 

Ans.

The three methods or techniques of representing polynomials using arrays is given as follows

(1) if maximum value of exponent of a polynomial is m then describe an array of size m+1 and store coefficient in corresponding index position or location as exponent. Ex:

2x2 +1 is stored as

829_array.png

(2) The one-dimensional  array  is  used  to  store  exponent  and  coefficient alternatively. Ex: 2x2 +1 is stored as

2005_array1.png

The  size  of  array  needed  is  2*n  where  n  is  the  number  of  elements  in

polynomial.

(3) Use  two dimensional arrays  or  one-dimensional  array  of  structures  one  for  storing exponents and other for co-efficient.

Ex: 2x2 +1 is stored as

525_array2.png

The size of arrays is 2*n where n is the number of the elements in polynomial. (i)  The second and third methods or techniques are the efficient methods.

For saving 8x100+10x+6  , as in method 1 there is a requirement of 101 integer locations.

(ii) 8x3-7x2+5x+15 for this polynomial any one of the representations can be used, but method or technique 1 will be best as there is only coefficients required to be stored. There are no gaps in the exponents; hence the complete array will be filled with the coefficients.


Related Discussions:- Techniques of representing polynomials using arrays

What is keyed access- container, What is Keyed Access- Container A c...

What is Keyed Access- Container A collection may allow its elements to be accessed by keys. For instance, maps are unstructured containers which allows their elements to be

Matrix stored in memory, Method to measure address of any element of a matr...

Method to measure address of any element of a matrix stored in memory. Let us consider 2 dimensional array a of size m*n further consider that the lower bound for the row index

Memory allocation strategies, Q. Explain the various memory allocation stra...

Q. Explain the various memory allocation strategies.                                                            Ans. M e m ory Allocation Strategies are given as follow

Explain the array and linked list implementation of stack, Question 1. ...

Question 1. How can you find out the end of a String? Write an algorithm to find out the substring of a string. 2. Explain the insertion and deletion operation of linked lis

Binary tree construction, Construct a B+ tree for the following keys, start...

Construct a B+ tree for the following keys, starting with an empty tree.  Each node in the tree can hold a maximum of 2 entries (i.e., order d = 1). Start with an empty root nod

State the term access restrictions - container, What is Access Restriction...

What is Access Restrictions Structured containers with access restrictions only allow clients to add, remove and examine elements at certain locations in their structure. For

What is complexity, Complexity is the rate at which the needed storage or c...

Complexity is the rate at which the needed storage or consumed time rise as a function of the problem size. The absolute growth based on the machine utilized to execute the program

Program for linear search, Program for Linear Search. Program: Linear S...

Program for Linear Search. Program: Linear Search /*Program for Linear Search*/ /*Header Files*/ #include #include /*Global Variables*/ int search; int

Java, Ask consider the file name cars.text each line in the file contains i...

Ask consider the file name cars.text each line in the file contains information about a car ( year,company,manufacture,model name,type) 1-read the file 2-add each car which is repr

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