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

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

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

Generic code for reading from files, Generic code for Reading from Files: ...

Generic code for Reading from Files: The generic code to complete this is as shown below:   fid = fopen('filename'); if fid == -1    disp('File open not suc

Nested structures, Nested Structures: The nested structure is a struct...

Nested Structures: The nested structure is a structure in which at least one of the members is itself a structure. For illustration, a structure for the line segment may co

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

Sequential search, Sequential Search: A sequential search is completed...

Sequential Search: A sequential search is completed by looping through the vector element-by-element starting from the beginning, looking for the key. Usually the index of the

Example of mode, Example of Mode When no value appears more often than ...

Example of Mode When no value appears more often than any other, the smallest value in the vector will be the mode of the vector. >> shortx = [2 5 1 4]; >> mode(shortx

Run-time or execution-time error, Run-time or execution-time error: Th...

Run-time or execution-time error: The Run-time, or execution-time, errors are found whenever a script or function is executing. With most of the languages, an illustration of

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

Vectorizing, Vectorizing: In most of the cases in MATLAB, loops are no...

Vectorizing: In most of the cases in MATLAB, loops are not essential. As MATLAB is written specifically to work with the vectors and matrices, most operations can be completed

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