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

Bus311.., #qYou will need to examine two of the nine sections of data: one ...

#qYou will need to examine two of the nine sections of data: one section of qualitative data (choose either Gender or Position) one section of quantitative data (choose either Intr

Sorting strings, Sorting Strings: For the matrix of strings, the sort ...

Sorting Strings: For the matrix of strings, the sort function works exactly as formerly for numbers. For illustration, >> words = char('Hi', 'Hello', 'Howdy', 'Goodbye', '

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',.

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

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

Example of customizing plots, Example of customizing plots: As the oth...

Example of customizing plots: As the other illustration of customizing plots, the pieces of a pie chart can be "exploded" from the rest. In this situation, the two vectors are

Execution of persistent variables, Execution of persistent variables: ...

Execution of persistent variables: The functions can also be called from the script or from the Command Window, as shown here. For illustration, the functions are called first

Representing logical true and false, Representing Logical true and False: ...

Representing Logical true and False: It has been stated that expressions which are theoretically true really have the integer value of 1, and expressions which are theoretical

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

Indexing, Indexing: The Indexing is an alternate to sort a vector. Wit...

Indexing: The Indexing is an alternate to sort a vector. With indexing, the vector is left in its original order. An index vector is used to point values in the original vecto

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