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

Example of sorting strings, Example of sorting strings: To sort a cell...

Example of sorting strings: To sort a cell array of strings, also the sort function is used. The illustration is as follows, >> engcellnames = {'Chemical','Mechanical',.

Illustrations of sequential search, Illustrations of Sequential search: ...

Illustrations of Sequential search: The two illustrations of calling such function is as shown below: >> values = [85 70 100 95 80 91]; >> key = 95; >> seqsearch

Nested functions, Nested Functions: We have seen that the loops can be...

Nested Functions: We have seen that the loops can be nested, that means that one inside of the other, functions can be nested. The terminology for nested functions is that an

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 indexing, Illustration of Indexing: Though, rather tha...

Illustration of Indexing: Though, rather than of creating the index vector manually as shown here, the process to initialize the index vector is use to a sort function. The al

If statement - matlab programming, The IF Statement: The if statement ...

The IF Statement: The if statement selects whether or not the other statement, or group of statements, is executed. The common form of the if statement is as shown below: i

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

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

Assignment , Determine sequence weights for the sequences ACTA, ACTT, CGTT,...

Determine sequence weights for the sequences ACTA, ACTT, CGTT, and AGAT in problem 1 by using Thompson, Higgins, and Gibson method a) compute pairwise distances between sequences

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

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