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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
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
Vectorizing: In most of the cases in MATLAB, loops are not essential. As MATLAB is written specifically to work with the vectors and matrices, most operations can be completed
Index vector: The index vector is then used as the indices for original vector. To get grades vector in ascending order, the indices used would be grades (2), grades (5), and
Indexing: The Indexing is an alternate to sort a vector. With indexing, the vector is left in its original order. An index vector is used to point values in the original vecto
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
Need of a nested loop: How would we sum each individual column, rather than getting an overall sum? Answer: The programming technique would need a nested loop in whi
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
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
Areacirc function: The areacirc function can be called from the Command Window as shown here, or from a script. Here is a script which will prompt the user for the radius of o
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
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