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Built-in function for Differentiation:
The MATLAB has a built-in function, diff that returns the differences between consecutive elements in a vector. For illustration,
>> diff([4 7 15 32])
ans =
3 8 17
For a function y = f(x) here x is a vector, and the values of f '(x) can be approximated as diff(y) divided by diff(x). For illustration, the earlier equation can be written as an anonymous function.
>> f = @ (x) x .^ 3 + 2 .* x .^ 2 - 4 .* x + 3;
>> x = 1:3;
>> y = f(x)
y =
2 11 36
>> diff(y)
9 25
>> diff(x)
1 1
>> diff(y) ./ diff(x)
Program of built-in factorial function: Calling this function yields similar result as the built-in factorial function: >> fact(5) ans = 120 >> factorial(
Three-dimensional pie and bar: For the bar3 function, x & y vectors are passed and the function displays three-dimensional bars as shown in figure: Figure: Three-dimen
Matrix of Plots: The other function which is very useful with any type of plot is subplot that creates a matrix of plots in the present Figure Window. The three arguments are
Illustration of Standard Deviation The less spread out the numbers are, therefore smaller the standard deviation will be, as it is a way of determining the spread of the data.
Example of Recursive functions: This definition is recursive as a factorial is defined in terms of the other factorial. There are two parts to any recursive definition: the co
Function isreal - complex numbers: The function isreal returns 1 for logical true when there is no imaginary part of the argument, or 0 for false when the argument does have a
Logical Vectors: The relational operators can also be used with the vectors and matrices. For illustration, let's say that there is a vector, and we want to compare each eleme
Using Functions with the Vectors and Matrices: As MATLAB is written to work with the vectors and matrices, the whole vector or matrix can be passed as an argument to the funct
Fliplr function: The fliplr function "flips" the matrix from left to right (in another words the left-most column, the first column, become the last column and so on), and the
Built-in functions for Complex numbers: We know that in MATLAB both i and j are built-in functions which return √-1 (therefore, they can be thought of as built-in constants).
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