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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
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
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
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Reading from Files: There are many lower level functions which read from files. The function fscanf reads the formatted data into a matrix, by using conversion formats like %s
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
Functions which complete a task without returning Values: Most of the functions do not compute values, but instead of accomplish a task like printing formatted output. As thes
Illustration of nested for loops and the if statements: For illustration,when the file contains: 33 -11 2 4 5 9 22 5 -7 2 11 3 the outco
Steps for input output functions - Lower level file: The steps involved are as shown below: Open the file. Read the file, write to the file, or append to the file.
Example of Functions which complete a task: For illustration, the function below just prints the number arguments passed to it in a sentence format: As this function i
Illustration of Input in a for loop: In this illustration, the loop variable iv iterates through the values 1 through 3, therefore the action is repeated three times. The acti
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