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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 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)
2*x^4-x^2+5
>> sym2poly(ans)
2 0 -1 0 5
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
Example of Nested functions: For illustration, the function below computes and returns the volume of a cube. Three arguments are then passed to it, for the width and length of
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
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];
Function polyval - interpolation: The function polyval can then be used to compute the polynomial at particular values. For illustration, we could compute at every value in th
Execution of persistent variables: The functions can also be called from the script or from the Command Window, as shown here. For illustration, the functions are called first
Illustration of Mode When there is more than one value with similar (highest) frequency, then the smaller value is mode. In the case below, as 3 and 8 appear twice in the vecto
fopen function - file function: The fopen opens the file for reading. The fscanf then reads each line one double and one character, and put each pair in individual columns in
Introduction and Purpose In the lectures and tutorials you have been introduced to a number of probability distributions. You have also learned that modelling any system (such
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
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