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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
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
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
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
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
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
Illustration of Indexing: Though, rather than of creating the index vector manually as shown here, the process to initialize the index vector is use to a sort function. The al
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
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
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
Debugging Techniques: Any error in the computer program is called a bug. This word is thought to date back to the 1940s, whenever a problem with an early computer was found to
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