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

Logical errors, Logical errors: The Logical errors are more complicate...

Logical errors: The Logical errors are more complicated to locate, as they do not result in any error message. The logical error is a mistake in reasoning by the programmer, b

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

Debugging techniques, Debugging Techniques: Any error in the computer ...

Debugging Techniques: Any error in the computer program is called a bug. This word is thought to date back to the 1940s, whenever a problem with an early computer was found to

Properties of the text box - graphics objects, Properties of the text box -...

Properties of the text box - graphics objects: By using get will show properties of the text box, the illustration is as shown below: >> get(thand)   BackgroundColor

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

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

Roots function - polynomials, Roots function - Polynomials: The roots ...

Roots function - Polynomials: The roots function in MATLAB is used to find the roots of an equation represented by a polynomial. For illustration, for the mathematical functio

Data structure layers, Data structure layers: There are many layers in...

Data structure layers: There are many layers in this variable. For illustration,  cyls is the whole data structure, that is a vector of structs  cyls(1) is a separate

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