Polynomials, MATLAB in Statistics

Assignment Help:

Polynomials:

Simple curves are polynomials of various degrees, or orders. The degree is the integer of the highest exponent in the expression. The illustrations are as follows:

  • A straight line is the first order or degree 1 polynomial of the form ax + b, or more clearly ax1+ b.
  • A quadratic is a second order (or degree 2) polynomial of the form ax2 + bx + c.
  • A cubic (degree 3) is of the form ax3 + bx2 + cx + d.

A MATLAB represents a polynomial as a row vector of coefficients. For illustration, the polynomial x3 + 2x2 - 4x + 3 would be represented by the vector [1 2 -4 3].

The polynomial 2x4 - x2 + 5 would be represented by [2 0 -1 0 5]; note that the zero terms for x3 and x1.

There are built-in functions sym2poly and poly2sym which convert symbolic expressions to polynomial vectors and vice versa, the illustration is as shown below:

>> myp = [1,2,-4,3];

>> poly2sym(myp)

ans =

x^3+2*x^2-4*x+3

>> mypoly = [2 0 -1 0 5];

>> poly2sym(mypoly)

ans =

2*x^4-x^2+5

>> sym2poly(ans)

ans =

2 0 -1 0 5


Related Discussions:- Polynomials

Help function, Help function: Function is computing the two values, th...

Help function: Function is computing the two values, there are two output arguments in the function header (i.e., area & circum), that are placed in the square brackets [ ]. A

Operation on file, Operation on file: We concentrate first on the fget...

Operation on file: We concentrate first on the fgetl function that reads strings from the file one line at a time. The fgetl functions afford more control over how the data is

Example of functions which return values, Example of Functions which return...

Example of Functions which return values: Calling this function prints the circumference, since there is no way to store the value, hence, it can be used in following computat

Vectorizing, Vectorizing: In most of the cases in MATLAB, loops are no...

Vectorizing: In most of the cases in MATLAB, loops are not essential. As MATLAB is written specifically to work with the vectors and matrices, most operations can be completed

Fopen function - file function, fopen function - file function: The fo...

fopen function - file function: The fopen opens the file for reading. The fscanf then reads each line one double and one character, and put each pair in individual columns in

Graphics objects, Graphics objects: The objects involve graphics primit...

Graphics objects: The objects involve graphics primitives like lines and text, and also the axes used to orient the objects. These objects are organized hierarchically, and the

Lower level file i/o functions, Lower Level File I/O Functions: Whenev...

Lower Level File I/O Functions: Whenever reading from data file, as long as the data in the file is "regular" the load function works-in another words, the similar type of dat

Logical built-in functions, Logical Built-In Functions: There are buil...

Logical Built-In Functions: There are built-in functions in the MATLAB which are useful in conjunction with vectors or matrices of all logical true or false values; two of the

Example of function stubs, Example of Function stubs: The three functi...

Example of Function stubs: The three functions have not so far been written, though, therefore the function stubs are put in place so that the script can be executed and teste

Illustration of indexing into vectors of structures, Illustration of Indexi...

Illustration of Indexing into vectors of structures: For illustration, the function to print the information from packages has been modified therefore in addition to the vecto

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