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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
Function used in binary search: The function below implements this binary search algorithm. It receives two arguments: the sorted vector and a key (on the other hand, the func
Scaling: change a row by multiplying it by a non-zero scalar sri → ri For illustration, for the matrix:
Example of Plotting from a Function: For illustration, the function can be called as shown below: >> y = [1:2:9].^3 y = 1 27 125 343 729
Implementation of binary search: The binary search can be implemented as a recursive function. The recursive function below also implements this binary search algorithm. It re
A matlab function to calculate filter order
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
Patch function - graphics objects: The patch function is used to generate a patch graphics object, which is made from 2-dimensional polygons. The patch is defined by its verti
Illustration of Graphics properties: A particular property can also be exhibited, for illustration, to view the line width: >> get(hl,'LineWidth') ans =
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
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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