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Example of Interpolation and extrapolation:
The MATLAB has a function to do this, known as polyfit. The function polyfit finds the coefficients of the polynomial of the particular degree which best fits the data by using a least squares algorithm. There are 3 arguments passed to the function: the vectors which represent the data, and the degree of the preferred polynomial. For illustration, to fit a straight line (degree 1) through the earlier data points, the call to the polyfit function would be:
>> polyfit(x,y,1)
ans =
0.0000 67.6000
that says that the best straight line is of the form 0x + 67.6. Though, from the plot as shown in figure, it appears like a quadratic would be a much better fit. The following would generate the vectors and then fit a polynomial of degree 2 through the data points, storing the values in a vector known as coefs.
>> x = 2:6;
>> y = [65 67 72 71 63];
>> coefs = polyfit(x,y,2)
coefs =
-1.8571 14.8571 41.6000
This says that the MATLAB has determined that the best quadratic which fits these data points are:
-1.8571x2 + 14.8571x + 41.6. So, the variable coefs now stores a vector which represents this polynomial.
str2num function - String: The function str2num does the opposite; it takes the string in which a number is stored and converts it to the type double: >> num = str2num('123.
Algorithm for expfn function: The algorithm for expfn function is as shown: receives the value of x as the input argument. Prints the value of exp(x). assigns a
Function fieldnames - structure functions: The function fieldnames will return the names of the fields which are contained in the structure variable. >> pack_fields = fiel
Replacement : Replace a row by adding it to (or subtract from it) a multiple of the other row. For a given row ri, this is written as ri - srj → ri Note that when r
Example of Menu driven modular program: As an illustration of such a menu-driven program, we will write a program to discover the constant e. The constant e, known as the n
Illustration of Graphics properties: A particular property can also be exhibited, for illustration, to view the line width: >> get(hl,'LineWidth') ans =
Displaying expressions: The good-looking function will show such expressions by using exponents; for illustration, >> b = sym('x^2') b = x^2 >> pretty(b)
Illustration of finding a sting: Let's enlarge this, and write a script which creates a vector of strings which are phrases. The outcome is not suppressed so that the string
Anonymous Functions: The anonymous function is a very easy, one-line function. The benefit of an anonymous function is that it does not have to be stored in an M-file. This ca
deblank function: The deblank function eliminates only trailing blanks from the string, not leading the blanks. The strtrim function will eliminate both the leading and traili
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