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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
Forward elimination: In forward elimination, we want to obtain a 0 in the a 21 position. To accomplish this, we can alter the second line in the matrix by subtracting from it
sane as above
Individual structure variable: The individual structure variable for one software package may look like this: The name of the structure variable is a package; it has f
Algorithm for appex subfunction: The algorithm for appex subfunction is as shown: Receives x & n as the input arguments. Initializes a variable for running sum of t
Algorithm for expfn function: The algorithm for expfn function is as shown: receives the value of x as the input argument. Prints the value of exp(x). assigns a
Forward substitution: The Forward substitution (done methodically by first getting a 0 in the a 21 place, and then a 31 , and lastly a 32 ): For the Gauss technique,
Algorithm for the function e: The algorithm for the function eoption is as shown: Use the menu function to show the 4 choices. Error-check (an error would take place
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
Converting between the String and Number types: The MATLAB has many functions which convert numbers to strings in which each character element is a separate digit, and vice ve
Graphics Properties: The MATLAB uses the Handle Graphics in all its figures. All figures consist of various objects, each of which is assigned a handle. The object handle is a
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