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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
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
Example of Functions which return values: Calling this function prints the circumference, since there is no way to store the value, hence, it can be used in following computat
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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
Illustration of reading from files: For illustration, suppose that there is a data file 'subjexp.dat' that has on each line a number followed by thecharacter code. The type fu
Illustration of Customizing plots: Illustration, the bar and barh functions by the default place a width of 0.8 between bars. Whenever called as bar(x,y), the width of 0.8 is
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
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
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