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

Lower level file i/o functions, Lower Level File I/O Functions: Whenev...

Lower Level File I/O Functions: Whenever reading from data file, as long as the data in the file is "regular" the load function works-in another words, the similar type of dat

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

Vectors of nested structures, Vectors of nested structures: The Combin...

Vectors of nested structures: The Combining vectors and nested structures are possible to have a vector of structures in which several fields are structures themselves. Here i

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

Core objects, Core Objects: The Core Objects in MATLAB are the very fu...

Core Objects: The Core Objects in MATLAB are the very fundamental graphics primitives. The description can be found under the MATLAB Help: Under the Contents tab, click the Ha

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

Example of functions which complete a task, Example of Functions which comp...

Example of Functions which complete a task: For illustration, the function below just prints the number arguments passed to it in a sentence format: As this function i

Areacirc function, Areacirc function: The areacirc function can be cal...

Areacirc function: The areacirc function can be called from the Command Window as shown here, or from a script. Here is a script which will prompt the user for the radius of o

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

Program of persistent variables, Program of Persistent variables: The ...

Program of Persistent variables: The program below elaborates this. The script calls a function func1 that initializes a variable count to 0, then increment it, and print the

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