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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
Illustration of Variable scope: Running this function does not add any of variables to the workspace, as elaborated: >> clear >> who >> disp(mysum([5 9 1]))
Anonymous Functions: The anonymous function is a very easy, one-line function. The benefit of an anonymous function is that it does not have to be stored in an M-file. This ca
Defined a variable in work space: The variables defined in the script will become a part of the workspace: >> clear >> who >> mysummfile 15 >> who
Example of Gauss-jordan: For a 2×2 system, this would results and for a 3 × 3 system, Note that the resulting diagonal form does not involve the right-most col
Initializing the data structure - Function: Function is shown as: >> printcylvols(cyls) Cylinder x has a volume of 169.6 Cylinder a has a volume of 100.5
Displaying expressions: The good-looking function will show such expressions by using exponents; for illustration, >> b = sym('x^2') b = x^2 >> pretty(b)
Passing arguments to functions: In all these functions examples faraway, at least one of the arguments was passed in the function call to be the value(s) of the equivalent inp
Illustration of symbolic variable: When, on the other hand, z is a symbolic variable to start with, quotes are not required around the expression, and the words are automatica
Example of Menu driven modular program: As an illustration of such a menu-driven program, we will write a program to discover the constant e. The constant e, known as the n
Use of built-in colormaps: MATLAB has built-in colormaps, it is also possible to generate others by using combinations of any colors. For illustration, the following generates
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