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

Editor and debugger, Editor/Debugger: The MATLAB has numerous useful f...

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

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

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

Illustration of median, Illustration of Median When the vector is not i...

Illustration of Median When the vector is not in sorted order to start with, the median function will still return the right answer (it will sort the vector automatically). For

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

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

Function sortrows - sorting strings, function sortrows - sorting strings: ...

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 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

Statistics, Statistics There are numerous statistical analyses which ca...

Statistics There are numerous statistical analyses which can be executed on data sets. In MATLAB software, the statistical functions are in the data analysis help topic known a

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