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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
Example of Median For the vector [1 4 5 9 12 33], the median is the average of the 5 & 9 in the middle: >> median([1 4 5 9 12 33]) ans = 7
Example of Core objects: The one core graphics object is a line that is also what the plot function produces. Here is an illustration of generating a line object, altering som
Example of Vectorizing: Likewise, for an operation on a matrix, a nested loop would be needed; for illustration, supposing a matrix variable mat: [r c] = size(mat); for
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Advanced File Input and Output: In that section, we saw how to read the values entered by user using the input as well as the output functions disp and fprintf, that shows inf
Illustration of Binary search: An illustration to search for the key of 91 in the vector is as shown below: The table below shows what will happen in each iteration of
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fscanf function - file function: The fscanf reads matrix variable mat columnwise from the file specified by fid. The 'format' involves conversion characters much similar to th
Roots function - Polynomials: The roots function in MATLAB is used to find the roots of an equation represented by a polynomial. For illustration, for the mathematical functio
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