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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 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
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
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
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
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
Nested for Loops: The action of a loop can be any of the valid statement(s). Whenever the action of a loop is the other loop, this is known as nested loop. As an illustrati
Areacirc function: The areacirc function can be called from the Command Window as shown here, or from a script. Here is a script which will prompt the user for the radius of o
Location of a rectangle - graphics objects: The location of a rectangle is [x y w h], where x and y are the coordinates of the lower left point, here w is the width, and h is
Example of Median For the vector [1 4 5 9 12 33], the median is the average of the 5 & 9 in the middle: >> median([1 4 5 9 12 33]) ans = 7
Illustration of Binary search: An illustration to search for the key of 91 in the vector is as shown below: The table below shows what will happen in each iteration of
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