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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
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 Indexing into vectors of structures: For illustration, the function to print the information from packages has been modified therefore in addition to the vecto
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];
Example of Function stubs: The three functions have not so far been written, though, therefore the function stubs are put in place so that the script can be executed and teste
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
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
Example of Mode When no value appears more often than any other, the smallest value in the vector will be the mode of the vector. >> shortx = [2 5 1 4]; >> mode(shortx
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
Roots function - Polynomials: The roots function in MATLAB is used to find the roots of an equation represented by a polynomial. For illustration, for the mathematical functio
Generic code for Reading from Files: The generic code to complete this is as shown below: fid = fopen('filename'); if fid == -1 disp('File open not suc
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