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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
Symbolic Variables and expressions: The MATLAB has a type known as sym for the symbolic variables and expressions; these work with strings. The illustration, to generate a sym
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Cross Product: The cross or outer product a × b of two vectors a and b is defined only whenever both a and b are the vectors in three-dimensional space, that means that they b
Expanding a function: The expand function will multiply out terms, and factor will do the opposite: >> expand((x+2)*(x-1)) ans = x^2 x-2 >> factor(ans)
Changing Case: The MATLAB has two functions which convert strings to all uppercase letters, or all lowercase, known as the upper and lower. >> mystring = 'AbCDEfgh';
Example of file ploting data: As the other example, a data file called 'compsales.dat' stores the sales figures (in millions) for divisions in a company. Each line in the f
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FOR Loop: The for loop, or the for statement, is used whenever it is essential to repeat statement(s) in the script or function, and whenever it is known ahead of time how man
Illustration of Gauss elimination: For illustration, for a 2 × 2 system, an augmented matrix be: Then, the EROs is applied to obtain the augmented matrix into an upper
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