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

Illustration of customizing plots, Illustration of Customizing plots: ...

Illustration of Customizing plots: Illustration, the bar and barh functions by the default place a width of 0.8 between bars. Whenever called as bar(x,y), the width of 0.8 is

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

Help function, Help function: Function is computing the two values, th...

Help function: Function is computing the two values, there are two output arguments in the function header (i.e., area & circum), that are placed in the square brackets [ ]. A

Functions which return values versus printing, Functions which return Value...

Functions which return Values versus printing: Also, the function which computes and returns values (throughout the output arguments) does not generally print them; that is le

Tracing a error, Tracing: Sometimes, when a program has loops and/or s...

Tracing: Sometimes, when a program has loops and/or selection statements and is not running properly, it is helpful in the debugging process to know exactly which statements h

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

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

Editor and debugger, Editor/Debugger: The MATLAB has numerous useful f...

Editor/Debugger: The MATLAB has numerous useful functions for debugging, and debugging can also be completed through its editor, which is known as the Editor/Debugger. Typi

Variable packages, Variable packages: Variable packages are now the ve...

Variable packages: Variable packages are now the vector of structures, hence each and every element in the vector is a structure. To show one element in the vector, an index i

Combining nested for loops and the if statements, Combining Nested FOR Loop...

Combining Nested FOR Loops and the IF Statements: The statements inside a nested loop can be any of the valid statement, involving any selection statement. For e.g., there can

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