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 functions which return values, Example of Functions which return...

Example of Functions which return values: Calling this function prints the circumference, since there is no way to store the value, hence, it can be used in following computat

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

Nested for loops, Nested for Loops: The action of a loop can be any of...

Nested for Loops: The action of a loop can be any of the valid statement(s). Whenever the action of a loop is the other loop, this is known as nested loop. As an illustrati

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

Opening and closing a file, Opening and Closing a File: The Files are ...

Opening and Closing a File: The Files are opened with the fopen function. By the default, fopen function opens a file for reading. If the other mode is preferred, a permission

Example of vectorizing, Example of Vectorizing: Likewise, for an opera...

Example of Vectorizing: Likewise, for an operation on a matrix, a nested loop would be needed; for illustration, supposing a matrix variable mat: [r c] = size(mat); for

Logical errors, Logical errors: The Logical errors are more complicate...

Logical errors: The Logical errors are more complicated to locate, as they do not result in any error message. The logical error is a mistake in reasoning by the programmer, b

Illustration of tracing a error, Illustration of tracing a error: The ...

Illustration of tracing a error: The one way of following the flow of function, or tracing it, is to use the echo function. The echo function, that is a toggle, will show each

Graphics objects, Graphics objects: The objects involve graphics primit...

Graphics objects: The objects involve graphics primitives like lines and text, and also the axes used to orient the objects. These objects are organized hierarchically, and the

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

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