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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
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
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
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
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 Median When the vector is not in sorted order to start with, the median function will still return the right answer (it will sort the vector automatically). For
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
Editor/Debugger: The MATLAB has numerous useful functions for debugging, and debugging can also be completed through its editor, which is known as the Editor/Debugger. Typi
Example of Mode When no value appears more often than any other, the smallest value in the vector will be the mode of the vector. >> shortx = [2 5 1 4]; >> mode(shortx
function sortrows - sorting strings: The function sortrows sorts each and every row as a block, or group, and it also will work on numbers. Here in this illustration the rows
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
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