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Simplification Functions:
There are numerous functions which work with expressions, and simplify the terms. Not all the expressions can be simplified, but the simplify function does anything it can to simplify expressions, involving gathering like terms. For illustration:
>> x = sym('x');
>> myexpr = cos(x)^2 + sin(x)^2
myexpr =
cos(x)^2 sin(x)^2
>> simplify(myexpr)
ans =
1
The functions expand, collect, and factor work with polynomial expressions. The collect function collects the coefficients, for illustration,
>> collect(x^2 + 4*x^3 + 3*x^2)
4*x^2 4*x^3
Subfunctions: Though, it is possible to have more than one function in a given M-file. For illustration, if one function calls the other, the first function would be the prima
Polyhedron - graphics objects: The field polyhedron.vertices is a matrix in which each row presents (x,y,z) points. The field polyhedron.faces defines the faces: for illustrat
Algorithm for subfunction: The algorithm for subfunction askforn is as shown: Prompt the user for the positive integer n. Loop to print an error message and reprom
Function cirarea - Anonymous functions: The function handle name is cirarea. The one argument is passed to the input argument radius. The body of the function is an expression
Gauss Elimination: The Gauss elimination technique consists of: Generating the augmented matrix [A b] Applying EROs to augmented matrix to obtain an upper trian
Inverse of square matrix: The inverse is, hence the result of multiplying the scalar 1/D by each and every element in the preceding matrix. Note that this is not the matrix A,
Illustration of Matrix solutions: For illustration, consider the three equations below with 3unknowns x 1 ,x 2 , and x 3 : We can write this in the form Ax = b here A
7.13
function numden: The function numden will return individually the numerator & denominator of a symbolic expression: >> sym(1/3 + 1/2) ans = 5/6 >> [n, d] =
Sort algorithm for Sorting vectors of structures: Note that only the price field is compared in the sort algorithm, but the whole structure is replaced. That is therefore each
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