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Recursive Functions:
The Recursion occurs whenever something is defined in terms of itself. In the programming, a recursive function is a function which calls itself. The Recursion is very commonly used in the programming, however many simple illustrations are really not very efficient and can be substituted by the iterative techniques (loops, or vectorized code in MATLAB). Nontrivial illustrations go beyond the scope; therefore the concept of recursion is easily introduced here.
The illustration used will be of a factorial. Generally, the factorial of an integer n is defined iteratively:
n! = 1 * 2 * 3 * ... * n
For illustration, 4! = 1 * 2 * 3 * 4, or 24.
The other, recursive, definition is:
n! = n * (n - 1)! general case
1! = 1 base case
Pie chart - plot functions: The MATLAB also has a function pie which will generate a pie chart. Calling the function with the form pie (vec) draws a pie chart, by using the pe
bar and barh functions: For a matrix, the bar and barh functions will group altogether the values in each and every row. The illustration is as shown: rm = randint(2,4,[1
Use of logical vector: Determine how many elements in the vector vec were greater than 5, the sum function can be used on the resulting vector isg: >> sum(isg) ans =
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
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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).
Illustration of Writing variables to a file: For illustration, in the below session in the Command Window, 3 variables are generated; these are then exhibited using who. Then,
Empty Vectors: An empty vector or in another words, a vector which stores no values, can be generated using the empty square brackets: >> evec = [] evec = [] >> lengt
Referring to and Modifying the Matrix Elements: To refer to matrix elements, the row and then the column indices are given in parentheses (always the row index initially and t
sprintf function: The sprintf function works precisely like the fprintf function, but rather than printing it generates a string. Here are some illustrations in which the outp
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