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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
Tracing of Square matrices: The trace of a square matrix is the addition of all the elements on the diagonal. For illustration, for the preceding matrix it is 1 + 6 + 11 + 16,
Logical scalar values: The MATLAB also has or and and operators which work element wise for the matrices: These operators will compare any of the two vectors or matric
IS Functions for Strings: There are many functions for strings, that return logical true or false. The function isletter returns the logical true when the character is a lette
Use of Nested if-else statements: By using the nested if-else to select from among the three possibilities, not all the conditions should be tested. In this situation, if x is
Function call: In the function call, not any arguments are passed so there are no input arguments in the function header. The function returns an output argument, therefore th
sane as above
Reading from a Mat-File: The load function is used to read from various types of files. As with save function, by default the file will be supposed to be a MAT-file, and load
Illustration sorting vectors of structures: This function sorts the structures depend only on the price field. A more common function is shown next, that receives a string whi
Replacing a string - function strrep: The function strrep finds all the occurrences of a substring within the string, and substitutes them with a new substring. The order of a
Built-in colormaps: The MATLAB has numerous built-in colormaps which are named; the reference page on colormap shows them. Calling the function colormap without passing any ar
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