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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
Nested Functions: We have seen that the loops can be nested, that means that one inside of the other, functions can be nested. The terminology for nested functions is that an
Use of function polyval: The better the curve fit, the more exact these interpolated and extrapolated values will be. By using the subplot function, we can loop to display the
The IF Statement: The if statement selects whether or not the other statement, or group of statements, is executed. The common form of the if statement is as shown below: i
Example of sorting strings: To sort a cell array of strings, also the sort function is used. The illustration is as follows, >> engcellnames = {'Chemical','Mechanical',.
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
Program of Persistent variables: The program below elaborates this. The script calls a function func1 that initializes a variable count to 0, then increment it, and print the
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 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
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
Variable packages: Variable packages are now the vector of structures, hence each and every element in the vector is a structure. To show one element in the vector, an index i
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