Polynomials, MATLAB in Statistics

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

Posted Date: 10/22/2012 8:40:45 AM | Location : United States







Related Discussions:- Polynomials, Assignment Help, Ask Question on Polynomials, Get Answer, Expert's Help, Polynomials Discussions

Write discussion on Polynomials
Your posts are moderated
Related Questions
function sortrows - sorting strings: The function sortrows sorts each and every row as a block, or group, and it also will work on numbers. Here in this illustration the rows

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

Illustration of Input in a for loop: In this illustration, the loop variable iv iterates through the values 1 through 3, therefore the action is repeated three times. The acti

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

Variable packages: Variable packages are now the vector of structures, hence each and every element in the vector is a structure. To show one element in the vector, an index i

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

Mode The mode of a data set is the value which appears most often. The built-in function in a MATLAB for this is known as the mode. >> x = [9 10 10 9 8 7 3 10 9 8 5 10];

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

Editor/Debugger: The MATLAB has numerous useful functions for debugging, and debugging can also be completed through its editor, which is known as the Editor/Debugger. Typi

MENU Function: The MATLAB also has a built-in function known as menu which will display a figure Window with push buttons for the choices. The very first string passed to the