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

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

Median, Median The median is defined only for a data set which has been...

Median The median is defined only for a data set which has been sorted first, that means that the values are in order. The median of a sorted set of data values (n) is defined

Illustration of nested for loops and the if statements, Illustration of nes...

Illustration of nested for loops and the if statements: For illustration,when the file contains: 33   -11  2  4      5   9 22     5  -7  2     11    3 the outco

Mode, Mode The mode of a data set is the value which appears most often...

Mode The mode of a data set is the value which appears most often. The built-in function in a MATLAB for this is known as the mode. >> x = [9 10 10 9 8 7 3 10 9 8 5 10];

While loops, WHILE Loops: The while statement is used as a conditional...

WHILE Loops: The while statement is used as a conditional loop in MATLAB; it is used to repeat an action whenever ahead of the time it is not known how many times the action w

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

Illustration of input in a for loop, Illustration of Input in a for loop: ...

Illustration of Input in a for loop: In this illustration, the loop variable iv iterates through the values 1 through 3, therefore the action is repeated three times. The acti

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

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

Advanced file input and output, Advanced File Input and output: Where ...

Advanced File Input and output: Where 'format' involves the conversion characters much like those used in the fprintf function. For illustration, to read the file 'subjexp.dat

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