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

Functions which complete a task without returning values, Functions which c...

Functions which complete a task without returning Values: Most of the functions do not compute values, but instead of accomplish a task like printing formatted output. As thes

Rectangle - graphics objects, Rectangle - graphics objects: The other ...

Rectangle - graphics objects: The other core graphics object is the rectangle that can have curvature added to it (!!). Merely calling the function rectangle without any argum

Advanced file input and output, Advanced File Input and output: Where ...

Advanced File Input and output: Where 'format' involves the conversion characters much like those used in the fprintf function. For illustration, to read the file 'subjexp.dat

Need of a nested loop, Need of a nested loop: How would we sum each i...

Need of a nested loop: How would we sum each individual column, rather than getting an overall sum? Answer: The programming technique would need a nested loop in whi

Combining nested for loops and the if statements, Combining Nested FOR Loop...

Combining Nested FOR Loops and the IF Statements: The statements inside a nested loop can be any of the valid statement, involving any selection statement. For e.g., there can

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 core objects, Example of Core objects: The one core graphic...

Example of Core objects: The one core graphics object is a line that is also what the plot function produces. Here is an illustration of generating a line object, altering som

Fscanf function - file function, fscanf function - file function: The ...

fscanf function - file function: The fscanf reads matrix variable mat columnwise from the file specified by fid. The 'format' involves conversion characters much similar to th

Illustration of input in a for loop, Illustration of Input in a for loop: ...

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

Use of function polyval, Use of function polyval: The better the curve...

Use of function polyval: The better the curve fit, the more exact these interpolated and extrapolated values will be. By using the subplot function, we can loop to display the

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